Use the net to find the approximate surface area of the cylinder to the nearest square meter

Use The Net To Find The Approximate Surface Area Of The Cylinder To The Nearest Square Meter

Answers

Answer 1
302m^2 is the answer.
Answer 2

Answer:

[tex]\text{Surface area of cylinder is }302\thinspace m^2[/tex]    

Step-by-step explanation:

Given the cylinder with radius 3 m and height 13 m. we have to find the surface area of the cylinder to the nearest square meter.

Radius=3 m

Height=13 m

[tex]\text{Surface area of cylinder is }\\\\=2\pi r(r+h)\\\\=2\times\frac{22}{7}\times3(3+13)\\\\=\frac{132}{7}(16)=301,71\sim302\thinspace m^2[/tex]

[tex]Hence,\text{surface area of cylinder is }302\thinspace m^2[/tex]  

Option 3 is correct.              


Related Questions

Use the Babylonian method to estimate √80 to the nearest hundredth.

Answers

The answer is 8.94.

Most people guess that a square root is half, so we will make that our first guess; 80/2 = 40, so 40 is our guess.
80/40 = 2
Average 40 & 2:  (40+2)/2 = 21; this is our new guess.

80/21 = 3.80952381
Average 21 & 3.80952381: 12.40476191 is our new guess

80/12.40476191 = 6.449136274
Average 12.40476191 & 6.449136274:  9.426949092 is our new guess

80/9.426949092 = 8.48630869
Average 9.426949092 & 8.48630869 = 8.956628891 is our new guess

80/8.956628891 = 8.931931977
Average 8.956628891 & 8.931931977:  8.944280434 is our new guess

80/8.944280434 = 8.944280434
Average 8.944280434 & 8.944280434 = 8.944263386

By this point, we have the same number to the hundredths place, so we stop.  Our estimate is 8.94.
Using a calculator we get that [tex] \sqrt{80} [/tex] to the nearest hundredth is 8.94, so we are going to use the Babylonian method to get that number: 

Step 1.
We are going to make a guess. Our guess is 9 because [tex]9^2=81[/tex].

Step 2. We are going to dive the original radicand (80) by our guest:
[tex] \frac{80}{9} =8.88[/tex]

Step 3. We are going to find the average between our initial guest and the result of our previous calculation:
[tex]\frac{8.88+9}{2} = \frac{17.88}{2} =8.94[/tex]

We can conclude that [tex] \sqrt{80} [/tex] to the nearest hundredth using the Babylonian method is: 8.94

For one week, Consuela kept a log of the number of pages she read each night. She read 8 pages on Monday, 11 pages on Tuesday, 10 pages on Wednesday, 7 pages on Thursday, 8 pages on Friday, 8 pages on Saturday, and 10 pages on Sunday. Create a line plot of this information. Are there any outliers in the data? Explain.

Answers

And there are no outliers because there are no data numbers that are way larger or smaller than other/most data numbers

A line plot has been created based on the number of pages Consuela read each night over a week, showing the data without any outliers. Values range from 7 to 11 pages, with no significant deviations that would classify as outliers.

To create a line plot of the number of pages Consuela read each night, you would place a horizontal axis labeled with numbers representing the number of pages read, e.g., 7, 8, 10, and 11. Above each number, you would put a dot for each night that she read that number of pages. For example, she read 8 pages 3 times across the week, so above the number 8 on the line plot, you would place three dots.

Line Plot Creation and Outliers

The line plot for Consuela's reading log:

7 pages: 1 dot (Thursday)

8 pages: 3 dots (Monday, Friday, Saturday)

10 pages: 2 dots (Wednesday, Sunday)

11 pages: 1 dot (Tuesday)

To determine if there are any outliers in the data, we have to look for any dots that are not close to the other dots. An outlier is typically a data point that is significantly higher or lower than the rest of the data. In the case of Consuela’s reading log, the values are all quite close to each other, with the range being from 7 to 11 pages. There doesn't appear to be a value significantly different from the others; therefore, there are no outliers.

Latoya drives 8 miles to work in 13 minutes what is her average rate

Answers

her average rate is .615 miles per minute or about 37 miles per hour
do 8 times 13 and that gives you a 104 there is the average rate

A scientist conducted an experiment to determine whether an organic cleaner is as effective as a non-organic cleaner in killing germs that cause colds and the flu. To conduct the experiment, the scientist randomly selected 50 doorknobs in a hospital. He cleaned 25 of the door knobs with the organic cleaner, and he cleaned the remaining 25 door knobs with the non-organic cleaner. After cleaning and testing all of the doorknobs, the scientist reported that the organic cleaner killed 90% of germs that cause colds and the flu on the doorknobs, while the non-organic cleaner killed 95% of germs that cause colds and the flu on the doorknobs. What can be concluded from the scientist's report?

Answers

The conclusions from the scientist's report are as follows:

1. A non-oraganic cleaner is 95% effective
2. An organic cleaner is 90% effective
3. Therefore, an organic cleaner is not as effective as a non-organic cleaner in killing germs that cause colds and the flu.

Therefore, an organic cleaner is not as effective as a non-organic cleaner in killing germs that cause colds and the flu.

toothbrushes are $4.00 each. there is a 10% discount but also 6% sales tax. What is the new price?

Answers

Multiply 4 by 10%.
10% ⇒ 0.1

4 × 0.1 = 0.4
Subtract 0.4 from 4.
4 - 0.4 = 3.6 (price with discount)

Multiply 3.6 by 6%.
6% ⇒ 0.06
3.6 × 0.06 = 0.216

Add 0.216 to 3.6.
0.216 + 3.6 = 3.816

Round 3.816 to the hundredths.
3.816 ⇒ 3.82 (price with tax)

The new price of toothbrushes is $3.82.

In a school, the probability is 44% that a student chosen at random will be a boy. What is the probability that the student will be a girl?

Answers

Final answer:

The probability that a randomly chosen student is a girl is 56%, calculated by subtracting the probability of a boy (44%) from 100%.

Explanation:

The question asks us to find the probability that a student selected at random is a girl, given that the probability of selecting a boy is 44%. Since the question does not provide information about any other genders, we can imply that all remaining students are girls.

Probability is a measure of the likelihood that an event will occur, expressed as a number between 0 and 1, or 0% and 100%. So, if the probability of selecting a boy is 44% or 0.44, then the probability of selecting a girl would be the remaining percentage or fraction to reach 100% or 1.

This is calculated by subtracting the probability of selecting a boy from 1 or 100%, so 1 - 0.44 = 0.56 or 100% - 44% = 56%.

Therefore, the probability that a student selected at random is a girl is 56% or 0.56.

Learn more about Probability here:

https://brainly.com/question/32117953

#SPJ12

Seed corn was $5 per bag, whereas dog food cost only $3 per bag. Wewoka bought 50 bags and spent $190. How many bags of dog food did she buy?

Answers

Hello!

You can make two equations based on what you know

x + y = 50
5x + 3y = 190

Subtract y from both sides of the first equation

x = 50 - y

Put x into the second equation

5(50 - y) + 3y = 190

Distribute the 5

250 - 5y + 3y = 190

Combine like terms

250 - 2y = 190

Subtract 250 from both sides

-2y = -60

Divide both sides by -2

y = 30

Put y into the first equation

x + 30 = 50

Subtract 30 from both sides

x = 20

She bought 20 seed corn bags and 30 bags of dog food

Hope this helps!

Answer:

30 bags

Step-by-step explanation:

Nc + Nd = 50

5Nc + 3Nd = 190

Multiply by -5 becomes:

-5Nc - 5Nd = -250

5Nc + 3Nd = 190

Equals:

-2Nd= -60

simplify:

-2Nd/-2 and -60/-2 = Nd= 30 bags

Kristin spent $131 on shirts. Fancy shirts cost $28 and plain shirts cost $15. If she bought a total of 7 then how many of each kind did she buy

Answers

Hi there!!

First, Let plain shirts be x
Let fancy shirts be y 
x + y = 7
15x + 28y = 131 
Multiply first equation by 28 to eliminate y: 
28x + 28y = 196
15x + 28y = 131 
Subtracting the two equations:
13x = 65
x = 5 
Substituting x to get y:
x + y = 7
5 + y = 7
y = 2 
Answer: 5 plain shirts and 2 fancy shirts

Hope this helps u!!
Have an amazing rest of ur day:)))

The required Kristin bought 2 fancy shirts and 5 plain shirts.

What are simultaneous linear equations?

Simultaneous linear equations are two- or three-variable linear equations that can be solved together to arrive at a common solution.

Here,
Let's assume that Kristin bought x fancy shirts and y plain shirts. We know that the total number of shirts is 7, so:

x + y = 7

We also know that the total cost of the shirts is $131, that fancy shirts cost $28 and plain shirts cost $15. So we can write another equation:

28x + 15y = 131

Now we have two equations with two variables. We can use substitution or elimination to solve for x and y. Let's use substitution:

x + y = 7 -> x = 7 - y (subtract y from both sides)

28x + 15y = 131 -> 28(7-y) + 15y = 131 (substitute x with 7-y)

Expanding the brackets, we get:

196 - 28y + 15y = 131

-13y = -65

y = 5

So Kristin bought 5 plain shirts. We can substitute this value into either equation to find x:

x + y = 7 -> x + 5 = 7 -> x = 2

So Kristin bought 2 fancy shirts and 5 plain shirts.

Learn more about simultaneous equations here:

https://brainly.com/question/16763389

#SPJ2

A child’s piggy bank contains quarters and dollar coins. There are 6 times as many quarters as dollar coins. If there are 140 coins the piggy bank, what is the total amount of money it contains?

Answers

120 Quarters, 20 Dollar coins = $50

Variables well use:
Quarters = Q
Dollar Coins = D

What we know:
Q + D = 140
Q = 6(D)

First well substitute Q into the first equation to find the amount of dollar coins (D). 
6D+D = 140
7D = 140
D = 20

Since we know how many dollar coins are in the piggy bank and also how many coins total, we can substract the total amount of coins minus the amount of dollar coins to find the amount of quarters.

140 - 20 = 120 Q

To find the total money amount we take the variables we solved for and multiply is by the money amount:

(120(.25)) + (20(1)) = $50

Which of the following sets of numbers could be the lengths of the sides of a triangle? A. 81 mm, 7 mm, 6 mm B. 81 mm, 7 mm, 72 mm C. 81 mm, 7 mm, 88 mm D. 81 mm, 7 mm, 77 mm

Answers

we know that
The triangle inequality states that for any triangle, the sum of the lengths of any two sides of a triangle is greater than the length of the third side
so
case A. 81 mm, 7 mm, 6 mm 
6+7 is not > 81

case B. 81 mm, 7 mm, 72 mm
72+7 is not > 81

case C. 81 mm, 7 mm, 88 mm
81+7 is not > 88

case D. 81 mm, 7 mm, 77 mm
81+7 is > 77------> ok
77+7 is > 81-----> ok
81+77 is > 7-----> is ok

the answer is the option
D. 81 mm, 7 mm, 77 mm

The correct option is B. 81 mm, 7 mm, 72 mm could be the lengths of the sides of a triangle.

To determine if a set of numbers could be the lengths of the sides of a triangle, the Triangle Inequality Theorem must be satisfied. The theorem states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

Let's apply this theorem to each set of numbers:

A. 81 mm, 7 mm, 6 mm

- The sum of the two smallest sides is 81 + 6 = 87 mm, which is greater than the third side, 7 mm. However, the sum of the two smallest sides, 7 + 6 = 13 mm, is not greater than the largest side, 81 mm. Therefore, these lengths cannot form a triangle.

B. 81 mm, 7 mm, 72 mm

- The sum of the two smallest sides is 7 + 72 = 79 mm, which is greater than the third side, 81 mm. This set satisfies the Triangle Inequality Theorem.

C. 81 mm, 7 mm, 88 mm

- The sum of the two smallest sides is 81 + 7 = 88 mm, which is equal to the third side, 88 mm. According to the Triangle Inequality Theorem, the sum must be strictly greater than the third side, so these lengths cannot form a triangle.

D. 81 mm, 7 mm, 77 mm

- The sum of the two smallest sides is 7 + 77 = 84 mm, which is greater than the third side, 81 mm. However, the sum of the two smallest sides, 81 + 7 = 88 mm, is not greater than the third side, 77 mm. Therefore, these lengths cannot form a triangle.

Based on the Triangle Inequality Theorem, the only set of lengths that can form a triangle is option B: 81 mm, 7 mm, 72 mm.

What is the value of the digit 4 in the number 6,028,468?

Answers

Its value is 400.
Hope this helps.

a model car has been made using a scale factor if 1.5 inches:3 feet. If the actual car is 13.75 feet long, what is the length of the model?

Answers

Final answer:

To find the length of the model car, set up a proportion and cross multiply.

Explanation:

To find the length of the model car, we need to use the scale factor given. The scale factor is 1.5 inches:3 feet. This means that for every 1.5 inches in the model, there are 3 feet in the actual car.

Given that the actual car is 13.75 feet long, we can set up a proportion:

1.5 inches / 3 feet = X inches / 13.75 feet

Cross multiplying, we get:

1.5 inches * 13.75 feet = 3 feet * X inches

Simplifying, we find that the length of the model car is approximately 6.88 inches.

Find the unknown. = (764 × 2) + 12

Answers

Hello there, and thank you for posting your question here on brainly.

Short answer: 1540

Why?

To find the answer to this, you must do what is in the parenthesis. The equation inside of the parenthesis is 764 * 2. Evaluate. (764 * 2 ==> 1528) Now, add by 12. 1528 + 12 == 1540.

Hope this helped you! ♥
764 * 2 = 1528 + 12 = 1540
Hope this helps!

A bag contains 5 red marbles, 7 white marbles, and 6 blue marbles. Find P(red or blue).

Answers

Answer:

P(red or blue) = 5/18 + 6/18 = 11/18

help me pls with the answers pls, identify each pair of angles as complementary,supplementary, or neither

Answers

1. Neither
2. Supplementary
3. Supplementary

4. Complementary
40 + 2x = 90
2x = 50
x = 25

5. Supplementary
6x + 60 = 180
6x = 120 
x = 20
1. None
2. Supplementary
3. Complementary
sorry i am not sure about 4 and 5.

A trapezoid has an area of 33.6 square cm and a height of 4 centimeters.

Answers

I think its 134.4 ft or square inches

Kristin’s three-year old sister is trying to arrange pink and red Starbursts in rows. She has 360 pink Starbursts and 150 red Starbursts. She wants to arrange them in rows so that there are either only pink or only red Starbursts in each row, and so that each row has the same number of Starburts. What is the least number of rows she can make?

Answers

To find the least number of rows she can make will be found by finding the biggest way to divide these into equal groups (greatest common factor).

You can use prime factorizations of each number to find the gcf.

150 - 2 x 3 x 5 x 5
360 - 2 x 2 x 2 x 3 x 3 x 5

The common prime numbers are 2 x 3 x 5

You can make 12 (360/30) rows of pink and 5 (150/30) rows of red.
A total of 5 + 12 = 17 rows.

The least number of rows she can make is when she puts N marbles in each row, such that N is the greatest common factor between 150 and 360.

To find the greatest common factor between 150 and 360 we can write them as the product of prime numbers.

150 = 15*10 = (3*5)*(2*5)

360 = 36*10 = (6*6)*(2*5) = (2*3*2*3)*(2*5)

greatest common factor between 150 and 360 is the product of these 3 factors:

GCF = 2*3*5 = 30

this means that we need to make rows with 30 marbles each.

150/30 = 5 rows of red marbles

360/30 = 12 rows of pink marbles.

A total of 5 + 12 = 17 rows.

write and solve an inequality for this situation. To honor 50 years of business, All Strikes Bowling is having an anniversary special. Shoes rent for $1.25 and each game is $0.75. If Charlie has $20 and needs shoes, how many games can he bowl?

Answers

Charlie can bowl 25 games.
20 - 1.25 = 18.75
18.75/.75 = 25 games

To honor 50 years of business, All Strikes Bowling is having an anniversary special. The game he can bowl is 25.

What is the unitary method?

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

To honor 50 years of business, All Strikes Bowling is having an anniversary special.

Shoes rent for $1.25 and each game is $0.75. If Charlie has $20 and needs shoes.

Charlie can bowl 25 games.

= 20 - 1.25

= 18.75

So, he can bowl game

= 18.75/ 0.75

= 25 games

Learn more about the unitary method;

https://brainly.com/question/23423168

#SPJ2

What is the surface area of the ramp in square feet and if each square foot of wood on the ramp is sold for three dollars how much would the ramp sell for

Answers

we know that
[surface area of the ramp]=10*16+8*16+6*16+2*[6*8/2]
[surface area of the ramp]=160+128+96+48-----> 432 ft²

the answer Part a) is 
the surface area of the ramp is 432 ft²

if 1 ft² is sold for--------------------> $3
 432 ft²-------------------> x
x=432*3-----> x=$1296 

the answer Part b)  is
$1296 

A recipe for dessert calls for 2/4 cup of powdered sugar and 1/6 cup of brown sugar . What is the total amount of sugar needed for the recipe

Answers

They used 2/3 cup of sugar mark brainest
The answer is 2/3. Because I added 2/4 by 1/6 to get that answer. Hopefully this helped.

The function f(x) = 68(1.3)x represents the possible squirrel population in a park x years from now. Each year, the expected number of squirrels is ____ the number the year before. A. 3 times B. 1.3 times C. 3 more than D. 0.3 times

Answers

The answer is B.
It is 1.3 times more than the year before. (APEX)

Need help with finding the volume of this cone for #35

Answers

# 36:

Volume of cone = π·r²·h /3

π = 3.14

r = 8
8 × 8 = 64

h = 12

Multiply:

3.14 × 64 × 12 = 2,411.52

Answer = 2,411.52

Hope this helped☺☺
The answer to that is 160,000 because you have to multiply 10 x10 then 16x10 and 100x10 and then 1000x 160 and you will get 160,000

If Mrs garcia maintains a constant speed, consistent with the results above, how many words can she type in 49 minutes

Answers

ms.garcia will write 3430 in 49 minutes
This table shows a linear progression. Therefore, you can divide the total words typed by minutes to find the average words per minute Mrs. Garcia types. The table already gives you the words per minute, as it shows that Mrs. Garcia types 70 words in a minute. This is your average wpm.

To find the amount of words she types in a minute, multiply 49 minutes by the average wpm Mrs. Garcia types.

[tex]70 * 49 = 3430[/tex]

Mrs. Garcia can type 3430 words in 49 minutes.

What is 0.(24) ̅ (the 24 is repeating) expressed as a fraction in simplest form?

What is 0.24 ̅ (the 4 is repeating) expressed as a fraction in simplest form?

What is 0.24 expressed as a fraction in simplest form?

PLEASE SHOW YOUR WORK

Answers

Hi,
a)let 0.24 be x.
100x(two zeros because two decimals are repeating)=24.24 ̅(24 is repeating)
Now subtract 100x-x on both sides. This forms an equation.
100x-x=24.24(.24 is repeating) -0.24(.24 is repeating)
99x=24
x=24/99
simplest form=8/33
b)Follow the same rule.
let 0.24(4 is repeating) be x
Since there is two decimals in total , 100x=24.44(4 is repeating)
But since there is one decimal that is repeating, there will be one zero. Hence  it will become 100x-10x= 24.4(4 is repeating)-2.4(4 is repeating and get the decimal point closest to the repeating decimal)
90x=22
x=22/90
Simplest form=11/45
c) 0.24 is expressed as 8/25
0.24/1
24/100(make it a whole number and add no. of zeros based on how many decimals places you move.)
Simplest form=6/25
Hope this helps you.

write an equation that represents each mixed number as a sum of whole numbers and unit fractions 4 1/4

Answers

The equation would be 4 1/4 = 4 + 1/4

The equation that represents each mixed number as a sum of whole numbers and unit fractions of [tex]4\frac{1}{4}[/tex] is  [tex]4\frac{1}{4}[/tex] = 4 + 1/4.

What is fraction?

An element of a whole is a fraction. The number is represented mathematically as a quotient, where the numerator and denominator are split. Both are integers in a simple fraction. A fraction appears in the numerator or denominator of a complex fraction. The numerator of a proper fraction is less than the denominator.

We have the mixed fraction,

[tex]4\frac{1}{4}[/tex].

Converting the mixed fraction to an improper fraction,

[tex]4\frac{1}{4}[/tex] = 17/4

We need to write it as a sum of whole numbers and unit fractions:

So, it becomes,

[tex]4\frac{1}{4}[/tex] = 4 + 1/4

[tex]4\frac{1}{4}[/tex] = (16 + 1)/4

[tex]4\frac{1}{4}[/tex] = 17/4

Therefore, [tex]4\frac{1}{4}[/tex] = 4 + 1/4 is the required equation.

To learn more about the fractions;

https://brainly.com/question/10354322

#SPJ3

Khalil is wrapping a cylindrical candle for a gift. The candle is 10 inches tall and has a diameter of 1.5 inches. How many square inches of wrapping paper will Khalil need to cover the candle? Use 3.14 for pi.

Answers

The surface area of a cylinder is given as

[tex]A = 2 \pi rh + 2 \pi r^2[/tex]

r (radius)= 0.75 since radius is half of the diameter
h (height) = 10

So:
[tex]A = 2 \pi rh + 2 \pi r^2 A = 2 (3.14)(0.75)(10) + 2 (3.14)(0.75)^2 A = 47.1 + 3.5325 A = 50.6325 = 50.63in^2 [/tex]

Final answer:

To cover a cylindrical candle with a height of 10 inches and diameter of 1.5 inches, Khalil would need at least 50.635 square inches of wrapping paper, calculated by adding the lateral surface area and the areas of the top and bottom circles.

Explanation:

Khalil needs to calculate the amount of wrapping paper to cover a cylindrical candle. To find the surface area needed to wrap around the sides of the candle, we'll use the formula for the lateral surface area of a cylinder, which is Area (A) = 2πrL, where 'r' is the radius and 'L' is the height of the cylinder. Given that the candle is 10 inches tall and has a diameter of 1.5 inches, we calculate as follows:

The radius (r) is half of the diameter, so r = ½ × 1.5 inches = 0.75 inches.The height (L) of the candle is 10 inches.Using π as 3.14, the area A is A = 2×π× r× L = 2× 3.14 × 0.75 inches × 10 inches = 47.1 square inches.

To calculate the area needed to cover the top and bottom of the candle, we use the formula for the area of a circle, which is Area (A) = πr². The candle has two circular ends.

The area for one end A = π ×  0.75² inches = 3.14 × (0.5625) inches² = 1.7675 square inches.Since there are two ends, the total area for both is 2 × 1.7675 square inches = 3.535 square inches.

Adding the side area and the areas of the ends, the total wrapping paper needed is 47.1 square inches + 3.535 square inches = 50.635 square inches. Khalil should therefore use at least 50.635 square inches of wrapping paper to fully cover the cylindrical candle.

if a ship sailed due south from iceland to antarctica, it would sail through an angle of rotation of about 140 degrees around Earth's center. Find this measure in radians. Then, using 3960 miles for Earth's radius, find how far the ship would travel

Answers

Sushbehshdbdjssosshshjsns

the ship would travel approximately 9685.82 miles from Iceland to Antarctica.

To convert the angle from degrees to radians, we use the conversion factor[tex]\( \pi \)[/tex]radians = 180 degrees.

[tex]\[ \text{Angle in radians} = \frac{\text{Angle in degrees} \times \pi}{180} \][/tex]

In this case, the angle in degrees is 140 degrees:

[tex]\[ \text{Angle in radians} = \frac{140 \times \pi}{180} \]\[ \text{Angle in radians} = \frac{140}{180} \times \pi \]\[ \text{Angle in radians} = \frac{7}{9} \pi \][/tex]

Next, we'll find how far the ship would travel using Earth's radius. The distance traveled on a circle is given by the formula:

[tex]\[ \text{Distance} = \text{radius} \times \text{angle in radians} \][/tex]

Given Earth's radius as 3960 miles and the angle in radians as [tex]\( \frac{7}{9} \pi \)[/tex], we can calculate the distance:

[tex]\[ \text{Distance} = 3960 \times \frac{7}{9} \pi \]\[ \text{Distance} = 3080 \pi \]\[ \text{Distance} \approx 9685.82 \text{ miles} \][/tex]

So, the ship would travel approximately 9685.82 miles from Iceland to Antarctica.

consider th following formula used to find a cone v= 3.14r^2 h/3

Answers

Here's the volume formula (and the area formula) typed a little neater than that.
(I'm guessing you forgot to type in your question?)

If a PENNY has a circumference of 59.69 millimeters, what is the radius?

Answers

Circumference = 2 * pi * radius. So we just plug in our given information and solve for the missing variable. 

59.69 = 2[tex] \pi [/tex]r

Divide both sides by [tex]2 \pi [/tex] to isolate the variable r. 

r = 59.69 / [tex]2 \pi [/tex]

Put that into the calculator

r ≈ 93.7608 mm

The radius of the penny is 9.54 millimeters.

What is circumference?

The circumference means the length of the literal line that surrounds and forms a circle.

What is the formula for the circumference of circle?

The formula for the circumference of the circle is given by

[tex]circumference = 2\pi r[/tex]

Where,

r is the radius

and π = 3.14

What is radius?

A radius is a straight line from the center of a circle to the circumference of a circle.

According to the given question.

We have a penny whose circumference is 59.69 millimeters.

Let r be the radius of the penny and 2πr be the circumference of the penny.

Since we know that, the shape of the penny is circular.

Therefore,

The radius, r of the penny is given by

[tex]2\pi r= 59.69[/tex]

[tex]\implies r = \frac{59.69}{2\pi }[/tex]

[tex]\implies r = \frac{59.69}{2(3.14)}[/tex]

[tex]\implies r = \frac{59.69}{6.28}[/tex]

[tex]\implies r = 9.54\ millimeters[/tex]

Hence, the radius of the penny is 9.54 millimeters.

Find out more information about radius and circumference of the circle here:

https://brainly.com/question/9319418

#SPJ2

Which of the following modifications to the list of assets and liabilities below would result in a negative net worth? House valued at $90,000. Mortgage owed $78,000. Car valued at $11,000. Car loan of $5,000. Student loan of $13,700. Stocks valued at $2,500. Savings of $3,000. a. Net worth is already negative. b. House value decreasing to $83,000. c. Borrowing $10,000 more in student loans. d. Selling off all owned stocks.

Answers

Answer:

The correct answer is C. Borrowing $10,000 more in students loans.



Option C - Borrowing $10,000 more in student loans is the correct Alternative.

We have list of assets and liabilities.

We have to determine which of given modification would  result in negative net worth.

What is Asset and Liabilities?

Assets are the items your company owns that can provide future economic benefit. Liabilities are what you owe other parties.

According to the question -

Assets = House + Car + Stocks + Savings.

Total Assets = $90,000 + $11,000 + $2,500 +  $3,000 = $106500

Liabilities = Mortgage + Car loan + Student loan.

Total Liabilities = $78,000 +  $5,000 + $13,700 = $96700

Now if you borrow $10000 more in student loan then -

Total Liabilities = $78,000 +  $5,000 + $13,700 + $10000 = $96700 + $10000 = 1,06,700 > Assets.

Hence, Option C is the correct Alternative.

To solve more questions on Assets and Liabilities, visit the link below-

https://brainly.com/question/18890661

#SPJ2

Other Questions
Which sentence best describes the climax of the story Beowulf? find the surface area of each figure. Round your answers to the nearest tenth, if necessary Why did people around the world come to support a Jewish home in the Palestine mandateMany Jews were homeless following WWINazi genocide had convinced them of the need for a safe haven for JewsJews had lost their homeland in Russia and needed a new place to settlePeople felt Jews would be able to revive agriculture and industry in the Middle East a radius and an angle measure between 0 and 360 degrees Jane and Miguel are siblings. They go to different schools. Jane walks 6 blocks east from home. Miguel walks 8 blocks north. How many blocks apart would the two schools be if you could walk straight from one school to the other? Sabrina rounded the size of the park to the nearest thousands acres. Her estimate was 276,000 acres. What number could be the exact numbers of acres?A 276,543B 276,479C 275,424D 275,289 In what year did preisident ronald ragan expand the hispanic heritage celebration into a 30 day period According to pierre bourdieu, people's taste regarding entertainment and the arts serves as a status-making force or ________ that causes consumption preferences to cluster together. Callie evaluated the expression using the steps shown below.Which best explains Callies error?Callie incorrectly placed the decimal.Callie multiplied incorrectly.Callie added incorrectly. Callie incorrectly used placeholder zeros. ill giveaway 200 points if this gets answerd A scientist did an investigation on the growth of koi fish. He selected forty newly hatched koi from the same clutch of eggs. He separated the koi into four groups and placed each group in a different sized pond. None of the ponds had any predators that would eat the koi fish. The amount of food available to the koi and the water quality of each pond differed based on the size of the pond. Larger ponds had more food available and better water quality as the fish grew.After 15 months, the scientist measured the length of each koi fish. Using these measurements, he came up with an average koi size for each pond.Effect of Pond Size on Koi Fish GrowthSize of PondAverage Length of Koi500 gallons18.2 centimeters1000 gallons25.6 centimeters2500 gallons30.8 centimeters5000 gallons35.3 centimetersBased on the scientist's results, which of the following is true?A.Koi fish grow fastest in ponds with poor water quality.B.Koi fish grow fastest in ponds with a high population density.C.The growth of koi fish is determined entirely by genetics.D.The growth of koi fish is affected by the environment of the fish. Kara, 17, wants a computer of her own. She goes to a local electronics store to purchase a new computer system. The computer costs $950. She offers to put down $150 and make monthly payments on the remaining amount. Because Kara is only 17, the manager refuses to sell her the computer.a. Is this fair?b. Is this legal?c. What concerns might the manager have about selling a computer to a minor? Read the passage and answer the question. Connies newest patient was a teenager. The young girls hemoglobin was very low, and she was anemic. Connie told her that she would need to eat more dried fruits and vegetables, especially leafy greens. She also told her to avoid tea and coffee because they would prevent her body from absorbing iron. What role does Connie play on the multidisciplinary team? Which products are greater than 2 5/6?A.1/8 2 5/6B.2 5/6 2 5/6C.2 5/6 1 5/8D.5/6 2 5/6E.6/5 2 5/6 can you please help me! thanks you:) Which of these features are part of Spartan culture? Check all that apply. Boys begin military training at age seven. Girls receive a formal education. Art, music, and poetry are important occupations. Artemis, the goddess of the hunt, is important to the people here. The navy is the most important branch of the military. Which is the correct sequence in the formation of a glacier? snow, firn, granular ice, glacial ice? How many ml of 0.112 M Pb(NO3)2 are needed to completely react with 10.0ml of a 0.105 M KI Given Pb(NO3)2 (aq) + 2KI(aq)=2KNO3(aq)? How much 30% paint thinner solution should be added to a gallon of 10% paint thinner solution to make a solution that is 20% paint thinner The case of nadean cool, who was purported to have more than a hundred different personalities, is an example of the critical thinking concept of __________. Michael hates math. whenever he is assigned a page full of problems for homework, he completes the first three or four problems and then gives up. he already knows he's going to get them all wrong anyway. what type of factor is influencing michael's behavior?