A circle has a radius of 7.2 feet and a central angle aob that measures 112°. what is the area of sector aob? use 3.14 for pi and round your answer to the nearest tenth.

Answers

Answer 1

The area of the sector will be given by:
A=θ/360πr²
but
θ=112°, r=7.2 ft, π=3.14
hence
A=112/360×3.14×7.2²
A=50.64192 ft²
A~50.6 ft²

Related Questions

WILL GIVE BRAINLIEST IF YOU HAVE THE REST OF THE ANSWERS

Answers

Hey, I remember this. Connexus, right?

I completed this a few months ago but don't remember the rest of the answers. Message me and I'll be able to find them for you, but anyway, I'm positive the answer is A.

Proof:
A=(123-55)/2=34

Solve the problem. 13) from the edge of a 1000-foot cliff, the angles of depression to two cars in the valley below are 21° and 28°. how far apart are the cars? round your answers to the nearest 0.1 ft.

Answers

the cars would be 724.4 feet apart!!

Final answer:

The problem is about finding the distance between the cars using the angles of depression and the height of the cliff. Calculate individual horizontal distances first and then find their difference which gives us the distance between the cars.

Explanation:

This problem can be solved using trigonometry. We've a 1000-foot cliff and a valley below where the two cars are located. From the edge of the cliff, if we draw two lines of sight to the cars, we can get two right triangles. The angles of depression to the cars are 21° and 28°, which are the angles between these lines of sight and a horizontal line.

We can use the tangent of these angles, which is the ratio of the opposite side (the vertical distance from the cliff to the cars) and the adjacent side (the horizontal distance from the cliff baseline to the cars). We know the vertical distance - it's 1000 ft (height of the cliff). So, we can calculate the horizontal distances (D1 and D2) to the cars as D1 = 1000/tan(21°) and D2 = 1000/tan(28°) respectively.

The difference between D1 and D2 will give the distance between the cars.

The calculations might give the distance in decimals, and the problem asks to round the answer to the nearest 0.1 ft.

Learn more about Triangle Trigonometry here:

https://brainly.com/question/15101552

#SPJ3

In 2010, a city's population was 1,405,233 and it was decreasing at a rate of 1.1%. At this rate when will the city's population fall below 1,200,000?
a. 2024
b. 2027
c. 2036
d. 2049

Answers

Population in 2010, P(o) = 1,405,233
Rate of decrease, R = 1.1% = 0.011

Applicable formula

P(n) = P(o) *(1-R)^n

Where P(n) = population after n years, n = Number of years
From information given,
1,200,000 = 1,405,233 (1-0.011)^6
1,200,000/1,405,233 = (0.989)^n
0.85395 = (0.989)^n
ln (0.85395) = n ln (0.898)
n = [ln (0.85395)]/[ln (0.989)] = 14.27 years ≈ 14 years
Year in which population will fall below 1,200,000 = 2010+14 = 2024

Then, the correct answer is a.

Answer:

2024

Step-by-step explanation:

took the test

dy/dx = y/x^2

dy/y = dx/x^2

ln y * ln c = -1/x

cy = e^(-1/x)

y = ce^(-1/x)

Answers

dy/dx = y/(x^2)
dy/y = dx/(x^2)
int[dy/y] = int[dx/(x^2)] ... apply integral to both sides
ln(|y|) = (-1/x) + C
|y| = e^{(-1/x) + C}
|y| = e^C*e^(-1/x)
|y| = C*e^(-1/x)
y = C*e^(-1/x)

So you have the correct answer. Nice job.

------------------------------------------------

Check:
y = C*e^(-1/x)
dy/dx = d/dx[C*e^(-1/x)]
dy/dx = d/dx[-1/x]*C*e^(-1/x)
dy/dx = (1/(x^2))*C*e^(-1/x)
is the expression for the left hand side (LHS)

y/(x^2) = [C*e^(-1/x)]/(x^2)
y/(x^2) = (1/(x^2))*C*e^(-1/x)
is the expression for the right hand side (RHS)

Since LHS = RHS, this confirms the solution for dy/dx = y/(x^2)

Anyone help please!!!!

Answers

We are to verify the identity:

cos(α-B)-cos(α+B) = 2 sinα sinβ

Left hand side = cos(α - B)-cos(α + B)

= cosα cosβ + sinα sinB - (cosα cosB - sinα sinβ)

= cosα cosβ + sinα sinB - cosα cosB + sinα sinβ)

= sinα sinβ + sinα sinβ

= 2 sinα sinβ

= Right Hand side

cos(a-B)-cos(a+B)
cosucosv - sinusinv = cos(u+v)
cosucosv + sinusinv = cos(u-v)

cos(a-B)-cos(a+ B) = cosa cosB + sina sinB - (cosa cosB - sina sinB)= cosa cosB + sina sinB - cosacosB + sinb sinB= 2 sina sinB

Bricklayers use the formula N = 7LH to estimate the number of bricks N needed to build a wall of height H and length L. What is the height of a wall that is 30 feet long and that requires 2,310 bricks to build? a. 12 ft c. 11 ft b. 10 ft d. 20 ft

Answers

For this case we have the following equation:
N = 7LH
Clearing H we have:
H = N / (7L)
Substituting the values we have:
H = 2310 / (7 (30))
Rewriting we have:
H = 2310/210
H = 11 feet
Answer:
the height of a wall that is 30 feet long and that requires 2,310 bricks to build is:
c. 11 ft

A gallon of Moo Milk costs \$5.12$5.12dollar sign, 5, point, 12. What is the price, in dollars, of an 888 ounce glass of Moo Milk? There are 128128128 ounces in 111 gallon.

Answers

The correct statement is:
A gallon of Moo Milk costs $5.12 What is the price, in dollars, of an 8 ounce glass of Moo Milk? There are 128 ounces in 1 gallon.

Solution:
Cost of 1 gallon of Moo Milk = $ 5.12

1 gallon = 128 ounces, so we can write:

Cost of 128 ounces of Moo Milk = $ 5.12

Cost of 1 ounce of Moo Milk = $ 5.12/128 = $ 0.04

Cost of 8 ounces of Moo Milk = $ 0.04 x 8 = $ 0.32

Thus, 8 ounces of Moo Milk will cost $ 0.32

Answer:

0.32

Step-by-step explanation:

The ration of gallons to cost is 1:$5.12

We want to know the ratio of ounce to cost.

We need to convert gallons to ounces.

There are 128 ounces in 1 gallon.

So, if one Moo Milk costs $5.12, then 128 ounces also cost $5.12

The ratio of ounces to cost is 128:$5.12

Now, we can find an equivalent ratio to find the cost for 1 ounce.

Then we can multiply by 8 to find the cost of 8 ounces

Ounces ---------> Cost

128 ------------> 5.12 (Both divided by 128)

1 -------------> 0.04 (Both times 8)

8 ------------> 0.32

An 8 ounce of Moo Milk costs $0.32

How many terms are in the arithmetic sequence 6, 2, −2, …, −102?

Hint: an = a1 + d(n − 1), where a1 is the first term and d is the common difference

27
28
29
30

Answers

The number of sequence in the arithmetic sequence given by:
6, 2, −2, …, −102
will evaluated as follows:
the explicit formula is:
an=a1+d(n-1)
a1=first term
d=common difference
n=number of terms
thus from the question:
a1=6
d=2-6=-4
an=-102
plugging the values in the expression we get:
-102=6-4(n-1)
solving for n we shall have:
-102-6=-4(n-1)
-108=-4(n-1)
27=n-1
thus
n=27+1
n=28

Answer: 28 terms

Final answer:

Calculate the number of terms in the arithmetic sequence 6, 2, -2, ..., -102 using the provided formula to find it is 28.

Explanation:

In mathematics, an Arithmetic Progression (AP) is a sequence of numbers in which the difference between consecutive terms is constant. This difference is called the common difference, denoted by d.

Arithmetic sequence: 6, 2, -2, ..., -102

Formula: an = a1 + d(n - 1)

Identify a1 = 6 and an = -102Calculate d = an - a1 = -102 - 6 = -108Substitute the values into the formula and solve for n to find the number of terms

Therefore, the number of terms in the arithmetic sequence is 28.

WILL GIVE BRAINLIEST... HELP ASAP!!!!!!

1. Circle A with center at (3, 4) and radius 2 is similar to circle B with center at (−4, −5) and radius 3. Below is an incorrect informal argument for proving two circles are similar:

Step 1 Translate circle B to the right 9 units and up 7 units to form concentric circles.
Step 2 Dilate circle B to be congruent to circle A using scale factor of k = r sub two over r sub one equals two over three
Step 3 When an object is dilated, the dilated object is similar to the pre-image, thus the two circles are similar.

What is the first incorrect step, and how can it be fixed?

A. All steps are correct
B. Step 1, translate circle B to the right 7 units and up 9 units
C. Step 2, use scale factor of K= r^2/r^1=3/2
D. Step 3, replace dilated with translated.

An image of two concentric circles is shown with r2 = 8 and r1 = 3:

2. Image shows a pair of concentric circles. The radius of the smaller circle is r sub 1 and the radius of the second is r sub 2.

In order to prove the two circles are similar, the radius r1 was increased to make the circles congruent. What is the scale factor used in the above image?

A. k=8/3
B. K=3/8
C. K=1/5
D. K=5

Answers

The anwser is B, k= 3/8

First one is B. Because if you're moving from -4 to 3 you don't move 9 units right instead you move 7.

Explain how the difference of a fraction or a rational number and its additive inverse is equal to zero.

Answers

The additive inverse property states that when you add a number and its opposite (rational numbers), the result is zero. The reason is that the inverse of a number is the opposite, so if you have a number and when do the opposite with it (add the opposite), the result will be zero. This applies to adding!!!

Hope This Helped =3

please verify my probability answer!!!

Answers

The probability that the first student likes to play soccer:[tex]P(A)=\dfrac{10}{25}=\dfrac{2}{5}[/tex]
The probability that the second student likes to play baseball:[tex]P(B)=\dfrac{15}{24}=\dfrac{5}{8}[/tex]
Together:
[tex]P(A)\cdot P(B)=\dfrac{2}{5}\cdot\dfrac{5}{8}=\dfrac{1}{4}[/tex]

Answer:

1/4

Step-by-step explanation:

Hope this helped :)

Which of the following is not needed when making a box plot?
A - Mean
B - Minimum
C - Median
D - Third Quartile

Answers

The mean is not needed to make a box plot.

I hoped this helped!

Answer: A) Mean

You use the median as the center of the boxplot. The first and third quartiles (Q1 and Q3) make up the left and right edges of the box. The min and max are the furthest points on the left and right side of each whisker. The mean is not used at all. With outliers, the mean is skewed. If you have any outliers then its best to use the median instead.

Which box plot represents the data?
30, 35, 25, 5, 5, 25, 40, 45, 50, 10, 15, 40

Answers

your answer would be A after you found the 5 number sequence.

The answer would be A.

12 POINTS
Simplify i38.
i
−1
−i
1

Answers

Are you sure you've copied down the original problem exactly as given? i38 = 38i can't be simplified. Perhaps you meant i^38, which is a different matter.

Note that i^38 = i^32 * I^4 * I^2.

Note that i^0, i^4, i^8, etc., all equal 1. Therefore,

i^38 = (1)(1)i^2 = 1*(-1) = -1 (answer)

Answer:

-1

Step-by-step explanation:

I got this correct on my quiz

i^38 = -1

Solve for x: 12(x-7)+3(2x+2)=50x-62

Answers

X= -1/2

Hope this helps

x = -1/2

This is because
12 (-1/2 - 7) + 3 (2 x -1/2 + 2) = 50x - 62
12 x -7.5 + 3 x 1 = -25 - 62
-87 = -87

The sum of the squares of two consecutive positive even integers is 100. find the two integers

Answers

The integers are 6 and 8
6^2= 36
8^2=64
36+64=100

Let's denote the two consecutive positive even integers as x and x+2.

We know their squares sum up to 100, represented mathematically as:

x^2 + (x + 2)^2 = 100.

Expanding this equation, we get:

x^2 + x^2 + 4x + 4 = 100.

Combining like terms gives us:

2x^2 + 4x - 96 = 0.

This is a quadratic equation in the form of ax^2 + bx + c = 0, where a = 2, b = 4, and c = -96.

We can solve this quadratic equation for x using the quadratic formula:

x = [-b ± sqrt(b^2 - 4ac)] / 2a.

Substituting a, b, and c into this formula, we find that:

x = [-4 ± sqrt((4)^2 - 4*2*-96)] / 2*2,
x = [-4 ± sqrt(16 + 768)] / 4,
x = [-4 ± sqrt(784)] / 4,
x = [-4 ± 28] / 4.

So the solutions are x = (28 - 4) / 4 = 6 and x = (-28 - 4) / 4 = -8.

Since we are looking for positive even integers, we discard the negative solution.

Therefore, the two consecutive positive even integers are 6 and 6 + 2 = 8.

GIVING AWAY 50 POINTS TO WHOEVER SHOWS LEGIT WORK!
The lengths of the sides of three squares are s, s + 1, and s + 2. If their total area is 365 cm squared (^2), find their total perimeter.

Answers

S= one length of square 1
S+1 = one length square 2
S+2= one length square 3

Our equation would be
S^2+(S+1)^2+(S+2)^2=365

Idk if it would be called distribute but.. distribute
S^2+S^2+2S+1+S^2+4S+4=365

Add like terms
3S^2+6S-360=0

Divide everything. By 3
S^2+2S-120=0

Factor
(S-10)(S+12)=0

The two solutions are:

S-10=0
S=10

S+12=0
S=-12

Since a length can’t be a negative the only possible solution would be 10

Since a perimeter is all lengths added together we can multiply the length by four to get the perimeter

Square 1
10*4=40
Perimeter is 40cm

Square 2
S+1 =11
11*4=44
Perimeter is 44cm

Square 3
S+2=12
12*4=48
Perimeter is 48cm

Add all the perimeters together to get the total perimeter:

Total perimeter:
40+44+48=132

The total perimeter is 132cm

I hope this helps. Sorry if I messed up anything on here it was kinda hard to keep track of everything. Feel free to ask if you need anything cleared up :)

1. In an auditorium, there are 21 seats in the first row and 26 seats in the second row. The number of seats in a row continues to increase by 5 with each additional row.

(a) Write an iterative (explicit) rule to model the sequence formed by the number of seats in each row. Show your work.

(b) Use the rule to determine how many seats are in row 15. Show your work.

2. Rhonda started a business. Her business made $40,000 in profits the first year. Her annual profits have increased by an average of 6% each year since then.

(a) Write an iterative rule to model the sequence formed by the profits of Rhonda’s business each year.

(b) Use the rule to determine what the annual profits of Rhonda’s business can be predicted to be 20 years from the start of her business. Round your answer to the nearest dollar. Do not round until the end. Show your work.

3. The sequence 3, 12, 48, 192, … shows the number of pushups Kendall did each week, starting with her first week of exercising.

(a) What is the recursive rule for the sequence?

(b) What is the iterative rule for the sequence?

Answers

1. Let [tex]s_n[/tex] be the number of seats in the [tex]n[/tex]-th row. The number seats in the [tex]n[/tex]-th row relative to the number of seats in the [tex](n-1)[/tex]-th row is given by the recursive rule

[tex]s_n=s_{n-1}+5[/tex]

Since [tex]s_1=21[/tex], we have

[tex]s_2=s_1+5[/tex]
[tex]s_3=s_2+5=s_1+2\cdot5[/tex]
[tex]s_4=s_3+5=s_1+3\cdot5[/tex]
[tex]\cdots[/tex]
[tex]s_n=s_{n-1}+5=\cdots=s_1+(n-1)\cdot5[/tex]

So the explicit rule for the sequence [tex]s_n[/tex] is

[tex]s_n=21+5(n-1)\implies s_n=5n+16[/tex]

In the 15th row, the number of seats is

[tex]s_{15}=5(15)+16=91[/tex]

2. Let [tex]p_n[/tex] be the amount of profit in the [tex]n[/tex]-th year. If the profits increase by 6% each year, we would have

[tex]p_2=p_1+0.06p_1=1.06p_1[/tex]
[tex]p_3=1.06p_2=1.06^2p_1[/tex]
[tex]p_4=1.06p_3=1.06^3p_1[/tex]
[tex]\cdots[/tex]
[tex]p_n=1.06p_{n-1}=\cdots=1.06^{n-1}p_1[/tex]

with [tex]p_1=40,000[/tex].

The second part of the question is somewhat vague - are we supposed to find the profits in the 20th year alone? the total profits in the first 20 years? I'll assume the first case, in which we would have a profit of

[tex]p_{20}=1.06^{19}\cdot40,000\approx121,024[/tex]

3. Now let [tex]p_n[/tex] denote the number of pushups done in the [tex]n[/tex]-th week. Since [tex]3\cdot4=12[/tex], [tex]12\cdot4=48[/tex], and [tex]48\cdot4=192[/tex], it looks like we can expect the number of pushups to quadruple per week. So,

[tex]p_n=4p_{n-1}[/tex]

starting with [tex]p_1=3[/tex].

We can apply the same reason as in (2) to find the explicit rule for the sequence, which you'd find to be

[tex]p_n=4^{n-1}p_1\implies p_n=4^{n-1}\cdot3[/tex]

Answer:

i will look but i think she was right

Step-by-step explanation:

A lucky integer is a positive integer which is divisible by the sum of its digits. what is the least positive multiple of 9 that is not a lucky integer?

Answers

99.

It is not divisible by 18. Before that they are all added up to 9.

At a particular music store, CDs are on sale at $14.00 for the first one purchased and $12.00 for each additional disc purchased. Maria spends $86.00 on CDs. How many CDs has Maria purchased?

Answers

To calculate the answer, we subtract $ 14 from the first CD to the total amount spent, which is $ 86.
So:
$ 86- $ 14 = 72
The rest of the CDs cost $ 12.
Then we divide $ 72 between $ 12
$ 72 / $ 12 = 6.
That means that 6 CDs were bought at $ 12 plus the first one bought at $ 14.
So the number of CDs that María bought was 7

Answer: 7

Step-by-step explanation:

Is 1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 a number?

Answers

No I don’t think so::::::::::.:::::::::::::::

) a pair of fair dice is rolled. what is the probability that the sum of the top faces is a number 10 or greater?

Answers

possible number combinations are 1,1 2,1 3,1 4,1 5,1 6,1 1,2 2,2 3,2 4,2 5,2 6,2 1,3 2,3 3,3 4,3 5,3 6,3 1,4 2,4 3,4 4,4 5,4 6,4 1,5 2,5 3,5 4,5 5,5 6,5 1,6 2,6 3,6 4,6 5,6 and 6,6. of those 36 number combinations the ones that add up to more than 10 include: 4,6 5,5 5,6 6,4 6,5 6,6. thats 6 number combinations. 6/36 of the possible sums of the top faces equal out to 10 or more. 6/36=1/6=0.166666666666666666666666(repeating) and to put that in a percentage, 16.7%
the probability is 16.7%
Hope this helps.

A card is drawn from a standard deck of cards. Determine whether the events are mutually exclusive or inclusive. Then, find the probability.

P(a red card or a queen)

a.
inclusive, 15/26
c.
inclusive, 7/13
b.
mutually exclusive, 15/26
d.
mutually exclusive, 7/13

Answers

The correct answer is C) inclusive, 7/13.

The two events are inclusive because they can both happen at the same time.

This means we find the probability using
P(A or B) = P(A) + P(B) - P(A and B)

P(r or Q) = P(r) + P(Q) - P(r and Q)

There are 26 red cards out of 52 cards.
There are 4 queens out of 52 cards.
There are 2 red queens out of 52.

26/52+4/52-2/52 = 28/52 = 7/13

The events are mutually inclusive and the required probability is p(getting a red or a queen) is 28/52 = 7/13

What is probability?

Probability is a measure of the likelihood of an event occurring. The probability formula is defined as the possibility of an event happening is equal to the ratio of the number of favorable outcomes and the total number of outcomes. Probability of event to happen P(E) = Number of favorable outcomes/Total Number of outcomes.

Given here A card is drawn from a standard deck of cards. Now There are some events that can impact each other or that are overlapping. They have one or more outcomes in common. When events have outcomes in common, they are said to be overlapping events, also known as mutually inclusive events. Thus this event is defenitely inclusive.

Now the probability that a red card or a queen is =( 26 red cards + 2 black queens ) /52

= 28/52

=7/13

Hence, The events are mutually inclusive and the required probability is p(getting a red or a queen) is 28/52 = 7/13

Learn more about probability here:

https://brainly.com/question/30034780

#SPJ2

Answers

plug in 30ft for L and 2310 for n so you will get 2310=7(30)(h)... h would equal 11ft

two angles are drawn below. the measure of angle x is 90

a. 20
b. 60
c. 100
d. 120

Answers

Since x = 90, y is smaller, so any thing smaller is correct , if there were more than one smaller angle , just estimate.

So the answer is B) 60

Your answer is a and b
Beacuse that that is an acute angle and acute is less then 90

What is the area of a square

Answers

The area of a square is found by multiplying length and width, (which just so happen to be the same number) and the unit of measurement and put the power of 2 at the end (^2).
For example, if a square's length is 4cm, then you can assume the width is going to be 4cm. Finding area, you multiply 4 and 4 to get 16, and the unit of measurement (cm) and square it (^2). Thus meaning this answer would be 16cm^2.

I hope this helps!

What does a residual value of 1.3 mean when referring to the line of best fit of data set?
-a data point is 1.3 units above the line of best fit
-a data point is 1.3 units below the line of best fit
-the line of best fit has a slope of -1.3
-the line of best fit has a slope of 1.3

Answers

The answer will be A. good luck :)

A residual value of 1.3, when referring to the line of best fit of a data set, means that,

⇒ a data point is 1.3 units above the line of best fit.

What is Equation of line?

The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

To find a residual value of 1.3 mean when referring to the line of best fit of data set.

Since, A residual is defined as the difference between the observed value of a dependent variable and the predicted value of that variable using the regression equation.

Hence, In this case, the residual value of 1.3 indicates that the observed value of the dependent variable is 1.3 units above the predicted value, or the line of best fit.

Thus,

A residual value of 1.3, when referring to the line of best fit of a data set, means that,

⇒ a data point is 1.3 units above the line of best fit.

Learn more about the equation of line visit:

https://brainly.com/question/18831322

#SPJ5

A bag contains 3 red, 4 black and 2 white balls. what is the probability of drawing a red ball and then a white ball, if each ball is returned to the bag immediately after it is drawn? 2/27 1/9 1/3 4/27 2/9

Answers

Total number of balls = 3 + 4 + 2 = 9
red ball = 3
white ball = 2

P(red, then white) = (3/9)(2/9) = 6/81 = 2/27

Answer: 2/27

In which type of quadrilateral are consecutive sides congruent?
Select the best answer from the choices provided.
trapezoid
parallelogram
square
rectangle

Answers

Final answer:

A square is the quadrilateral with congruent consecutive sides. It is an equilateral rectangle and a special type of parallelogram with equal-length sides and right angles.

Explanation:

The type of quadrilateral in which consecutive sides are congruent is a square. A square is a special type of parallelogram where all sides are equal in length and all angles are right angles. When considering a square as a rectangle (which technically it is), its diagonals (which are equal in length) bisect one another at right angles, suggesting the property of being an equilateral rectangle. Furthermore, in a larger context, if we treat the sides of any parallelogram symmetrically, such as in a notation [PQRS], the order can change to [QRSP], [QPSR], and [PRQS] without affecting its properties, which aligns with the symmetric nature of a square's sides.

What is the maximum volume of a square pyramid that can fit inside a cube with a side length of 18 cm?

a. 5,832 cm
b. 2,916 cm
c. 1,944 cm
d. 972 cm

Find the volume of the cylinder in terms of Pie. The diagrams are not drawn to scale.

a. 52.8 m
b. 58.08 m
c.127.78 m
d. 29.04 m

Answers

Part 1) What is the maximum volume of a square pyramid that can fit inside a cube with a side length of 18 cm?

we know that
[volume of a square pyramid]=(1/3)*b²*h
where
b is the length side of the square base-----> 18 cm (is equal to the length side of cube)
h is the height---------> 18 cm (is equal to the length side of cube)
[volume of a square pyramid]=(1/3)*18²*18----> 1944 cm³

the answer Part 1) is
c. 1,944 cm³

Part 2) Find the volume of the cylinder in terms of Pie. The diagrams are not drawn to scale.

volume of a cylinder=pi*r²*h
for r=2.2 m
h=12 m
volume of a cylinder=pi*2.2²*12-----> volume=58.08*pi m³

the answer Part 2) is
58.08*pi m³

Other Questions

What is the limiting reactant if 0.5 g Al is reacted with 3.5 g CuCl2? Match the term with its definition: 1.mercantilism economic system in which colonies supply goods to the mother country 2.moldboard curved metal blade of a plow 3.sedentary characterized by staying in one place for a long time Find the area of the surface of the part of y=4x+z^2 that lies between the planes PLEASE HURRY WILL MARK BRAINLIEST IF CORRECTWhat is the nuclear binding energy of an atom that has a mass defect of 1.643 1028 kg? Use E = mc2. (Remember: The speed of light is approximately 3.00 108 m/s.) 1.83 1046 J 4.93 1020 J 1.48 1011 J 5.48 1045 J bryan needs a new backpack. He compares the prices of three different backpacks at a local store to finnd the best deal. Which purpose of money is bryan demonstrating? (1 point)A- Unit of accountB- Store of valueC- Acceptance of paymentD- Medium of exchange*******D is my answer but does anyone have the rest of the answers to building on economics basics practice test for connections academy??? How many dna fragments left when you use two restriction enzymes? What is mostly likely elevation of the mountain below If future editions of the dsm change to a dimensional approach in the diagnosis of personality disorders, clinicians will have to:" not do anything differently than they are doing now in diagnosing personality disorders can someone please explain the steps to solve these questions. PLEASE HELP!!!ASAP!!!!Write an equation that you can use to solve for x.Enter your answer in the box. cuanto valen 75 sobres a $2,000 el cien? Which of the following personal health practices should a person follow to prevent heart diseases? A law passed in 1993 that provides for voter registration by mail and in departments of motor vehicles (which is also called the "motor voter" act) is called the In the 1930's, germany, italy, and japan worked to: How does Bud show he understands when he finds Herman E. Calloway crying in his mother's room?A. He pats him and rubs his shoulder.B. He hugs him.C. He tells him it will be okay. D. He gives him the picture of his mother. The "ism" that explored some of the same territory that freud explored was known by which of these names HELP XD : Brainliest to bestMath10 points A client with a significant history of mitral valve prolapse is receiving client education regarding dietary recommendations to compensate for symptoms associated with hypovolemia. which dietary recommendations would be appropriate? What is the oxidation state for the oxygen atom in na 2 o 2 ? Monique wants a scholarship to go to college. She has been saving her money to buy a new computer she needs for her classwork. All of her friends have the latest smart phones and she can't surf the Internet well on her phone. Monique decides to use her money to buy a smart phone instead of the computer. Which of the following best describes Monique's decision?A. The new phone will help her make friends so she made a good, Lasting Zone decision. B. It is important to communicate with her friends so she made a good, Lasting Zone decision. C. She felt pressure to have a phone like her friends so she made a poor, Instant Zone decision. D. She decided the new computer wasn't her top priority so she made a good, Instant Zone decision.