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Aleonysh [2.5K]
4 years ago
15

7. The bottom of a circular swimming pool

Mathematics
1 answer:
mote1985 [20]4 years ago
4 0
<h2>Hello!</h2>

The answer is:

1017.88 square feet are blue.

<h2>Why?</h2>

To calculate how many square feet are blue, we need to calculate the area of the bottom of the circular swimming pool.

We need to remember that we can calculate the area of any circle using the following formula:

Area_{circle}=\pi radius^{2}

Now, we know that the diameter of the bottom is equal to 36 feet, so, we can calculate the radius of the bottom using the following formula:

diameter=2radius\\\\radius=\frac{diameter}{2}

So,

radius=\frac{36feet}{2}=18feet

Then, calculating the area we have:

Area_{bottom}=\pi radius^{2}=\pi 18ft^{2}=1017.88ft^{2}

Hence, we have that 1017.88 square feet are blue.

Have a nice day!

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ollegr [7]

Answer:

The correct

answer is C. m = 42

7 0
3 years ago
Rocio drops a ball from a height of 4 meters. Rocio observes that each time the ball bounces, it reaches a peak height which is
docker41 [41]

The exponential equation that correctly models the ball's peak height, h, in meters, after b bounces is given by:

H(b) = 4(0.79)^b

<h3>What is an exponential function?</h3>

A decaying exponential function is modeled by:

A(t) = A(0)(1 - r)^t

In which:

  • A(0) is the initial value.
  • r is the decay rate, as a decimal.

In this problem:

  • Rocio drops a ball from a height of 4 meters, hence A(0) = 4.
  • Each time the ball bounces, it reaches a peak height which is 79% of the previous peak height, hence 1 - r = 0.79.

Thus, the equation is given by:

H(b) = 4(0.79)^b

More can be learned about exponential equations at brainly.com/question/25537936

4 0
2 years ago
Find the y-intercept of the line 18x–y=5.
DaniilM [7]

\text{Write in y=mx+c form, where  m is the slope and c is the y-intercept}\\\\~~~~18x-y = 5\\\\\implies y = 18x -5\\\\\text{y-intercept}~ = -5

8 0
2 years ago
Read 2 more answers
Researchers sampled 176 young women who recently participated in a STEM program. Of the 176 STEM​ participants, 107 were in urba
sergeinik [125]

Answer:

0.608

0.926

Step-by-step explanation:

Total number of outcomes = Total number of women in the STEM program = 176

Number of favorable outcomes = The number of STEM​ participants in urban areas = 107

\text {P(Woman is from an urban area)}=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}\\\Rightarrow \text {P(Woman is from an urban area)}=\frac{\text{The number of STEM participants in urban areas}}{\text{Total number of women in the STEM program}}\\\Rightarrow \text {P(Woman is from an urban area)}=\frac{107}{176}\\\Rightarrow \text {P(Woman is from an urban area)}=0.608

∴ The probability that she is from an urban​ area is 0.608

\text {P(Woman is not from rural area)}=1-\frac{\text{The number of STEM participants in rural areas}}{\text{Total number of women in the STEM program}}\\\Rightarrow \text {P(Woman is not from rural area)}=1-\frac{13}{176}\\\Rightarrow  \text {P(Woman is not from rural area)}=0.926

∴ The probability that she is not from a rural area is 0.926

6 0
3 years ago
PLEASEEEE HELPPPPPP WIll add extra pointtss
djverab [1.8K]
Answer is x = 4
Explanation :-

As B is midpoint of SR :- SB = BR and if. SR = 6x then SB = 3x
AC parallel SR ( MID POINT THEOREM )
Hence AC parallel SB
Similarly , AB parallel CS (MID POINT THEOREM)
So ABCS is a parallelogram
And we know that in parallelogram opposite sides are equal so AC = SB
So now we have AC = 5x - 8 and SB = 3x
So, 5x - 8 = 3x
5x - 3x = 8
2x = 8
x = 4
4 0
3 years ago
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