A building engineer analyzes a concrete column with a circular cross section. The circumference of the column is 18π meters. What is the area of the cross section?

Answers

Answer 1
Answer: 81pi square meters

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

Work Shown

C = 18pi is the given circumference
d = diameter which is unknown

C = pi*d
18pi = pi*d
18 = d
d = 18

The diameter is 18 meters.
Half of this is the radius r = d/2 = 18/2 = 9
The radius is 9 meters

Use the value of r to find the area of the circle
A = pi*r^2
A = pi*9^2
A = pi*81
A = 81pi

The area of the circular cross section is 81pi square meters


Related Questions

a cell phone company has a basic monthly plan of $40plus $0.45 for many minutes ised over 700. John was charged a total of $48.10. Write an equation to determine how many minutes he must have used during the month.

Answers

Cost of month plan = $40

Cost of minutes used = $0.45 after 700 minutes

Total cost = $48.10

Let x be the total minutes used
Total cost = 40 + 0.45(x - 700)

------------------------------------------------------------------
Form the equation and solve x
------------------------------------------------------------------
40 + 0.45(x - 700) = 48.10
40 + 0.45x - 315 = 48.10
0.45x - 275 = 48.10
0.45x = 48.10 + 275
0.45x = 323.10
x = 323.10 ÷ 0.45
x = 718

------------------------------------------------------------------
Answer: John had used 718 mins this month
------------------------------------------------------------------

The slope of a line passing through H (-2, 5) is -3/4. Which ordered pair represents a point on this line?

A (6, -1)
B (2, 8)
C (-5, 1)
D (1, 1)

Answers

Answer:
(6,-1)

Explanation:
The slope of the line can be calculated using the following formula:
slope = [tex] \frac{y2-y1}{x2-x1} [/tex]

We are given that:
slope = -0.75
point (x1,y1) is (-2,5)

We will use each of the given points to calculate the corresponding slope, then compare the calculated slope with the given one.

For point (6,-1):
slope = [tex] \frac{-1-5}{6--2} [/tex] = -0.75 ........> accepted choice

For point (2,8):
slope = [tex] \frac{8-5}{2--2} [/tex] = 0.75 ........> rejected choice

For point (-5,1):
slope = [tex] \frac{1-5}{-5--2} [/tex] = 4/3 ........> rejected choice

For point (1,1):
slope = [tex] \frac{1-5}{1--2} [/tex] = -4/3 ........> rejected choice

Therefore, the first option is the only correct one.

Hope this helps :)

John walks 1 mile west. Then he turns north and walks another 2 miles before he stops to rest. How far is John from his starting point when he stops to rest? Round your answer to the nearest tenth.

Answers

You might think at first that he is 3 miles from his starting point, but if you think about it, that's not true. This forms a right triangle with one side of 2, the other side with 1, and the unknown distance as the hypotenuse. We can use Pythagorean's Theorem to solve this:
[tex]a^2 + b^2 = c^2[/tex]
[tex]c = \sqrt{a^2+b^2} = \sqrt{2^2+1^2} = \sqrt{5} [/tex]

This cannot be simplified anymore, so the distance John travels is [tex] \sqrt{5}[/tex] miles. You can put this into a calculator to get a value of 2.2 miles (rounding to the nearest tenth).

Write the equation of a cosine function with the following properties

Answers

★ Analytical Trigonometry ★

Let it's general format be -
[tex]f(x) = a \: cos \: b(x - c) + d \\ [/tex]
Having frequency as -
[tex]f = \frac{b}{2\pi} [/tex]
According to provided data -

amplitude : 3
Hence , a = 3

[tex]frequency = \frac{1}{2\pi} [/tex]
Hence b = 1

Phase Shift to the left of 2 : c = -2 [ left to the y-axis ]

Midline of y = 4

Hence d = 4

Now finally substituting every value obtained -

The equation of Cos function is -

[tex]y = 3cos1(x - 2) + 4[/tex]

ASAP

The wildflowers began blooming by my house at the beginning of March. The first week there were 88 blooms. After week two, there were 176 flowers in bloom. If the flowers continue to bloom at the same rate each week, how many flowers will there be after 6 weeks?
A. 264
B. 462
C. 528
D. 536

Answers

88+88= 176 Two weeks
176+88= 263 Three weeks
264+88=352 Four weeks
352+88=440 Five weeks
440+88=528 Six weeks
The answer is C. 

The number of wildflowers is doubling each week. Starting with 88 blooms in the first week and 176 in the second, the pattern suggests that there will be 2816 flowers after six weeks.

The student is asking about a pattern of growth in the population of wildflowers. The flowers began blooming with 88 blooms and by the second week, there were 176 flowers in bloom. This indicates that the number of flowers is doubling each week. To find the number of flowers after six weeks, we can establish a pattern of growth and calculate the number for the sixth week.

We can see that from week 1 to week 2, the blooms doubled (88 x 2 = 176). If this pattern continues, the blooms will double each week.

Let's calculate the number of blooms for each week up to six weeks:

Week 1: 88 flowers

Week 2: 176 flowers (88 x 2)

Week 3: 352 flowers (176 x 2)

Week 4: 704 flowers (352 x 2)

Week 5: 1408 flowers (704 x 2)

Week 6: 2816 flowers (1408 x 2)

MATH:a basketball team needs 5 players. The team can choose from a group of 7 players. Explain how to find the number of combinations of players that can be on the team.

Answers

Combination Formula: (n = distinct objects, r = how many you pick) n!/(r!(n-r)!

So n = 7, r = 5

n! = 7! = 5040
R! = 5! = 120
(n-r) = 2! = 2
120*2=240
5040/240 = 21

21 combinations!

2. A researcher collected data about the favorite car color of a particular population. He asked 250 people about their favorite vehicle color and the survey revealed the following: 32% of people said blue, 24% of people said white, 20% of people said red, 18% of people said black, and 4% of people said silver.
(a) How many people said their favorite vehicle color was red? Explain.
(b) How many more people said their favorite vehicle color was blue compared to those who said white? Explain.
(c) How many people said their favorite vehicle color was either black or silver? Explain.
Answer:

Answers

A) 55 people said their favorite vehicle color is red

B) 80 people said their favorite vehicle color was blue while 60 people said their favorite vehicle color was white

C) 45 said their favorite vehicle color was black while 10 people said their favorite vehicle color was silver

Answer:

(a) 55 (b) 80 and 60 (c) 45 and 10

Step-by-step explanation:

Welcome :)

find the area of the trapezoid with a base of 19 inches, height 12.6 inches and base 29.2 inches

Answers

303.66

Hope this helps
Minor base: b=19 inches
Height: h=12.6 inches
Major base: B=29.2 inches

Area of the trapezoid: A
A=(b+B)h/2
Replacing the values:
A=(19 inches + 29.2 inches) (12.6 inches) / 2
A=(48.2 inches) (12.6 inches) / 2
A= (607.32 inches^2 ) /2
A= 303.66 inches^2

Answer: The area of the trapezoid is 303.66 square inches

The stem-and-leaf plot lists the number of times different families visit the local zoo each year.

How many families visit the zoo at least 25 times, but fewer than 44 times each year?



Enter your answer in the box.

Answers

Hey there!

The answer should be 4

Hope this helps you!

Always remember, you are a Work Of Art!
- Nicole <3 :)

Answer:

4

Step-by-step explanation:

its 4 just do 4 just do it like nike

If the endpoints of the diameter of a circle are (−10, −8) and (−6, −2), what is the standard form equation of the circle?

Answers

Final answer:

The standard form equation of the circle with endpoints (-10, -8) and (-6, -2) is (x + 8)^2 + (y + 5)^2 = 13.

Explanation:

To find the standard form equation of a circle, we need to find the center and the radius. Since the endpoints of the diameter are given, we can find the center by finding the midpoint of the diameter. The x-coordinate of the center is the average of the x-coordinates of the endpoints, and the y-coordinate of the center is the average of the y-coordinates of the endpoints. The radius is half the length of the diameter. Once we have the center and radius, we can plug them into the standard form equation of a circle, which is (x - h)^2 + (y - k)^2 = r^2, where (h, k) is the center and r is the radius.

Step 1: Find the midpoint of the diameter using the formula:
(x, y) = ((x1 + x2) / 2, (y1 + y2) / 2)
(x, y) = ((-10 + -6) / 2, (-8 + -2) / 2) = (-16 / 2, -10 / 2) = (-8, -5)

Step 2: Find the radius by halving the length of the diameter:
Length of the diameter = √((x2 - x1)^2 + (y2 - y1)^2) = √((-6 - -10)^2 + (-2 - -8)^2) = √(16 + 36) = √(52)
Radius = √(52) / 2 = √(13)

Step 3: Plug the center and radius into the standard form equation of a circle:
(x + 8)^2 + (y + 5)^2 = 13

Hye Sun has a modern coffee table whose top is a triangle with the following side legngths: 8 feet , 3 feet, and 5 feet. Is Hye Sun's coffee table top a tight triangle?

Answers

8 feet is the longest side so it would be the hypotenuse. Use the Pythagorean formula to check.
a^2 + b^2 = c^2
3^2+5^2 = 8^2
9 + 25 = 64
34 = 64
This is obviously not true si it is not a right triangle.

What’s the height of the brace

Answers

Hello. I found a different answer as to what the previous user got. I’ll show you my work and you can determine which one is right.

When you see two triangles, you can guess we’re going to deal with proportions. I’m going to set up a proportion between the long side of the big triangle and the long side of the little triangle

15/7

Ok...we’re making progress. We can make another proportion with height h and the “height” of the big triangle, 9

9/h

Since both of these are proportions, we can set them equal to each other

(9/h) = (15/7)

Cross multiply...

63 = 15h

h = 4.2 ft

math class has 6 girls and 2 boys in the seventh grade and 3 girls and five boys in the right grade. the teacher randomly selects a 7th and a 8th grader. What is the probability that the student she selects are both girls

Answers

Final answer:

To find the probability of selecting two girls, multiply the probability of selecting a girl from the 7th grade class by the probability of selecting a girl from the 8th grade class.

Explanation:

To find the probability that the teacher selects two girls, we need to determine the probability of selecting a girl from the 7th grade class and the probability of selecting a girl from the 8th grade class, and then multiply those probabilities together.

Probability of selecting a girl from the 7th grade class = Number of girls in 7th grade class / Total number of students in 7th grade class = 6 / (6+2) = 6/8 = 3/4 = 0.75

Probability of selecting a girl from the 8th grade class = Number of girls in 8th grade class / Total number of students in 8th grade class = 3 / (3+5) = 3/8 = 0.375

Probability of selecting two girls = Probability of selecting a girl from 7th grade class * Probability of selecting a girl from 8th grade class = 0.75 * 0.375 = 0.28125

Final answer:

The probability of selecting two girls, one from each grade, is 9/32.

Explanation:

The probability of selecting a girl from the seventh-grade class is 6/8, since there are 6 girls out of 8 total students. Similarly, the probability of selecting a girl from the eighth-grade class is 3/8. Since the two events are independent of each other, we can multiply the probabilities to find the probability of selecting a girl from both grades.

So, the probability of selecting a girl from the seventh grade AND a girl from the eighth grade is (6/8) * (3/8) = 18/64 = 9/32.

Therefore, the probability that the teacher selects two girls is 9/32.

a worker is tiling the floor of a rectangular room that is 12 feet by 15 feet. THe tiles are square with side lengths 1 1/3 feet. How many tiles are needed to cover the entire floor?

Answers

area of room: 12 x 15 = 180 square feet
 area of 1 tile = 1 1/3 x 1 1/3 = 1.78 square feet
 round to 1.8

180 / 1.8 = 100 tiles are needed

Answer:

102 tiles needed to cover the entire floor.

Step-by-step explanation:

Given : A worker is tiling the floor of a rectangular room that is 12 feet by 15 feet. The tiles are square with side lengths [tex]1\frac{1}{3}[/tex] feet.

To find : How many tiles are needed to cover the entire floor?    

Solution :

A rectangular room that is 12 feet by 15 feet.

The area of the room is [tex]A=L\times B[/tex]

[tex]A_r=15\times 12[/tex]

[tex]A_r=180\ ft^2[/tex]

The tiles are square with side lengths [tex]1\frac{1}{3}=\frac{4}{3}[/tex] feet.

The area of the tile is [tex]A_t=s^2[/tex]

[tex]A_t=(\frac{4}{3})^2[/tex]

[tex]A_t=\frac{16}{9}\ ft^2[/tex]

Number of tiles needed to cover the entire floor is

[tex]n=\frac{A_r}{A_t}[/tex]

[tex]n=\frac{180}{\frac{16}{9}}[/tex]

[tex]n=\frac{180\times 9}{16}[/tex]

[tex]n=101.25[/tex]

Therefore, Approximately 102 tiles needed to cover the entire floor.

need help for this problem
plz thxs

Answers

30/35 = 6/7

8/40 = 1/5

15/20 = 3/4

This would help :))
If you multiply/divide the numerator and denominator of a fraction by the same number, you will get an equivalent fraction.

For the first one, 6 is in the new numerator. Let's divide this by the original numerator to see what they did.

30/6 = 5

So they divided the numerator by 5. To get an equivalent fraction, we must do the same to the denominator.

35/5 = 7

So our new equivalent fraction is 6/7.

For the second one, the new denominator is 5. Let's see what they did to get this.

40/5 = 8

So they divided the denominator by 8 to get 5, let's do the same to the numerator:

8/8=1

So we have 1/5.

For the last one, they have 4 in the new denominator. Let's see what they did to get this denominator:

20/4 = 5

So they divided the denominator by 5, let's do the same thing to the numerator:

15/5 = 3

So we have 3/4.

Jessie saves $6 each week.In how many weeks will she have saved at least $50

Answers

The answer is (8 weeks) hope it helps and have a great day
8 and 3 days, 50/6 is 8.3, therefore, it would be 8 weeks and around Thursday. you just have to divide 50 by 6 and basically round. So it would be right in the middle of week 8 

Which of these is a symptom of nicotine?

A) Slowed heartbeat
B) Decreased blood pressure
C) Increase oxygen supply to the brain
D) Increase dizziness

Answers

The answer might be B because one addiction to nicotine is smoking, anxiety, and irritability.

A known symptom of nicotine is that it leads to a person having B. Decreased blood pressure

Nicotine is available in cigarettes and is responsible for the addiction that people feel to cigarettes. It has various health effects such as:

Causing loss of appetite Increasing one's risk of brain damage and heart attacks.

As a result of it causing a loss of appetite, the person will lose weight and will be unable to produce much blood which would lead to reduced blood pressure.

In conclusion, nicotine can lead to decreased blood pressure.

Find out more at https://brainly.com/question/11174442.

A survey of patients at a hospital classified them by sex and blood type, as shown in the table. What percent of all patients are male?[Round the answer to the nearest tenth of a percent. PLS HURRY LOTS OF POINTS NO GUESSING BRAINLIEST TO!!!!
A) 47.0%
B) 47.8%
C) 53.1%
D) 54.1%
Blood Type       Male     Female
A                       105       93
B                       99         84
O                      160       140
AB                     15         18

Answers

Answer:

if you want to know how many males, you have to add all the numbers up :

105 + 93 + 99 + 84 + 160 + 140 + 15 + 18 = 714

and then you divide 714 by all the male numbers 105 + 99 + 160 + 15 = 379

714/379 =  53.08 %

~batmans wife dun dun dun....

A bookcase is to have four shelves, including the top. The height of the bookcase is to be 2 feet more than the width and only 20 feet of lumber is available. Use an equation to determine the width and height of the bookcase.

Answers

4(x+2)+2x=206x+8=206x=12x=2 feet
The height of the bookcase is x=2
The width of the bookcase is x+2=2+24 feet
Height and width are 2 feet, 4 feet

Answer:

Height and width are 2 feet, 4 feet

Step-by-step explanation:

Evaluate the expression 53 ÷ (13 − 8) × 2.

Numerical Answers Expected!

Answer for Blank 1:

Answers

53 ÷ (13-8) x 2
53 ÷ 5 x 2
10.6 x 2
21.2

Hope this helped!
let me know if I was wrong.

Answer: 21.2

hope this helped

What is the base 10 representation of the number 1100110

Answers

The answer is B) 102

Answer:

102

Step-by-step explanation:


how do i approximate each square root to the nearest tenth

Answers

5.
11.4

6.
15.9

7.
14.4

SOMEONE EXPLAIN HOW TO DO THIS???

Answers

tax = (tax rate)*(charge before tax)

(total bill) = tax + (charge before tax)
or
(charge before tax) = (total bill) - tax

Then
(total bill) = (tax rate)*(charge before tax) +(charge before tax)
(total bill) = (charge before tax)*(1 +(tax rate))
(total bill) = ((total bill) -tax)*(1 + (tax rate))

Solving for tax rate, we get
.. (tax rate) = (total bill)/((total bill) - tax) -1
.. tax rate = (24.50)/((24.50) -1.50) -1
.. = 24.50/23.00 -1
.. ≈ 0.065217
.. = 6.5217%

The tax rate is about 6.5%.

PLZ HELP!!!!!! (WILL GIVE BRAINLIEST!!!!)

Answers

You can use feet or inches because they are both on the diagram and they are both a part of the same measuring system. If you use inches, you would be using larger numbers, but if you used feet, you would be using fractions.


I hope this helps!
it could be in inches or feet. because inches can be converted to feet, and feet can be converted to inches.

NEED HELP!!!!!!


For the following geometric sequence find the recursive formula and the 6th term in the sequence.
{36, 12, 4, ...}

Answers

1st term = 36
2nd term = 12
3rd term = 4

recursive formula
q = 12/36 = 1/3

If you use this formula and continue going down, you'll eventually find that the 6th term will be 4/27.

Hope that helps!

The 6th term is ( 4 / 27 ) and the recursive formula is q = 1/3.

What is geometric progression?

When there is a constant between the two successive numbers in the series then it is called a geometric series.

The 6th term of the series is calculated as:-

1st term = 36

2nd term = 12

3rd term = 4

The recursive formula is,

q = 12/36 = 1/3

The 6th term is,

[tex]a_n = a_1( r )^{n-1}[/tex]

[tex]a_6=36 ( \dfrac{1}{3})^5=\dfrac{4}{27}[/tex]

Therefore, the 6th term is ( 4 / 27 ) and the recursive formula is q = 1/3.

To know more about geometric progression follow

https://brainly.com/question/12006112

#SPJ2

Evaluate 3+11t-9u

t=9
u=11

Answers

it =3 
   because 3+11(9)-9(11)
                    3+99-99
                    3+0 or 102-99
                        equals 3

Answer:

3

Step-by-step explanation:

Let's substitute t = 9 and u  = 11 into the expression.

3+11t−9u

=3+11(9)−9(11)

=3+99-99=3+99−99

=3

What is the unit rate of x=y/7

Answers

7x=y, because you first multiply y by 7 so you then have to do the same to x, so that gives you 7x=y

What is -5/12 + (-1/4) + 3/12

Answers

The answer is -5/12 <3

Penelope made a paper chain that was 6 feet, 10 inches long. Anastasia made a paper chain that as 7 feet, 18 inches. If they linked their paper chains together, what would be the combined length? A) 13 feet, 11 inches b) 15 feet, 4 inches c) 19 feet, o inches d) 37 feet, 4 inches

Answers

The answer is B, as they both add up to 15 feet and 4 inches

Which relationship describes angles 1 and 2? Select each correct answer.
A. adjacent angles
B. Vertical angles
C. Linear pair
D. Complementary angles

Answers

Hi There!



Your answer is D. Complementary Angles





Have A Wonderful Month Of March!!


-XxNanaX

:P

D complementary angles

and

B vertical angles

hope this helps!


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