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svet-max [94.6K]
3 years ago
6

Your friend orders a new cover for his round swimming pool. The area of the pool cover is 200.96 square feet. What are the radiu

s and diameter of the pool cover? What is the circumference of the pool cover?
Mathematics
1 answer:
Rina8888 [55]3 years ago
7 0

A/π = r^2

200.96/π = r^2

64 ≈ r^2

r ≈ 8

d ≈ 16


If you're looking for an exact (I used a calculator for this) number:

63.9675547275 = r^2

r = 7.9979719134

d = 15.9959438268

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Examine the following table, which represents some points on a line
Lady bird [3.3K]

Answer:

Option (b)

Step-by-step explanation:

Let the points represented by the given table lie on a line.

And the equation of the line is,

y = mx + b

Where m = slope of the line

b = y-intercept

Let the points lying on the line are (0, -2) and (3, -3)

Slope of the line 'm' = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}

m = \frac{-2-(-3)}{0-3}

m = \frac{-2+3}{0-3}

m = -\frac{1}{3}

y-intercept 'b' = (-2)

Equation of the line is,

y = -\frac{1}{3}x-2

This equation matches with equation given in option (b).

Option (b) will be the answer.

7 0
4 years ago
In planning her retirement, Liza deposits some money at 4.5% interest, with twice as much deposited at 5%. Find the amount depos
AlekseyPX

Let

x ----> amount deposited at 4.5%

y ----> amount deposited at 5%

we have that

y=2x----> equation A

4.5%=0.045

5%=0.05

so

0.045x+0.05y=1,595 ----> equation B

solve the system

substitute equation A in equation B

0.045(x)+0.05(2x)=1,595

solve for x

0.045x+0.10x=1,595

0.145x=1,595

x=11,000

Find y

y=2(11,000)=22,000

<h2>The amount deposited at 4.5% was $11,000 and the amount deposited at 5% was $22,000</h2>
5 0
1 year ago
What is 1.8×10 + 8.4×10
Vsevolod [243]
1.8*10+8.4*10 is the equation

Basically, you are multiplying 1.8 and 8.4 by itself ten times but here is a tip:

When multiplying by ten, move the decimal once to the right

So 1.8*10=18. and 8.4*10=84.

That leaves 18+84 which is 102

Answer: 102
8 0
3 years ago
Read 2 more answers
PLSSSSSS HELP MEeEeEeEe
LiRa [457]

Answer:

The Median is 5

Step-by-step explanation:

The median is the middle number in a set of data, when the data has been written in size order.

0 1 2 4 <u>5 5</u> 5 6 6 6

As there is an even number of data the median is the average of the middle two values.  As the middle 2 values are both 5, then the average of these is also 5.  Therefore, the median is 5.

To find the mean of the set of data, add all the values together then divide by the number of data values:

(0 + 1 + 2 + 4 + 5 + 5 + 5 + 6 + 6 + 6) ÷ 10 = 4

Therefore, the mean is 4.

The Median is a better measure of central tendency as extreme values (outliers) do not affect it.  From inspection of the dot plot, the majority of the data values are 5 and 6.  Therefore, the lower values *could* be outliers, so 5 is a more realistic measure of central tendency.

5 0
2 years ago
558 cups of water fill 412 identical water bottles. How many cups fill each bottle ?
Elan Coil [88]

Answer:

5/4 cups fill each bottle

Step-by-step explanation:

5 5/8=45/8

4 1/2=9/2

Step by Step:

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

(45/8)/(9/2)

(45/8)(2/9)

(45/4)(1/9)

45/36

5/4

8 0
3 years ago
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