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Westkost [7]
4 years ago
14

The perimeter of a pool is 96 feet. If the length of the pool is 3 times its width, what is the width of the pool? Labeling the

dimensions of the pool may help.
Mathematics
1 answer:
k0ka [10]4 years ago
4 0

Answer:

12 feets

Step-by-step explanation:

Let the area of the pool be Length×width

There will be 2lengths and 2widths as well so the perimeter of the pool will be the addition of all the sides of the pool i.e 2L + 2W = 96... (1)

And since the length of the pool is 3 times its width, we have

L = 3W... (2)

Substituting equation 2 into 1 to get the width 'W'

2(3W) + 2W = 96

6W + 2W = 96

8W = 96

W = 96/8

W = 12feets

The width of the pool is 12feets

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Find the slope of the line passing through the points (-7,8) and (-7,-6)
ahrayia [7]

Answer:

1) undefined

2) 0

Step-by-step explanation:

Slope formula:

m=\frac{y2-y1}{x2-x1}

Problem 1:

(x1, y1) = (-7, 8)

(x2, y2) = (-7, -6)

Plug those 2 points into the slope formula and solve:

m=\frac{-6-8}{-7--7}\\\\m=\frac{-14}{0}

Here, you can't divide by 0, so this slope is undefined. An undefined slope would make a completely vertical line on a graph. In this case, the equation of the line would be just:

x=-7

Problem 2:

(x1, y1) = (-9, -8)

(x2, y2) = (3, -8)

m=\frac{-8--8}{3--9}\\\\m=\frac{0}{12}\\\\m=0

The slope is 0, and that would make a horizontal line on a graph. The equation would be:

y=-8

You don't actually need to fully work out the slope that way. If you ever have 2 points with the same x-coordinate, the slope has to be undefined. If you ever have 2 points with the same y-coordinate, then the slope has to be 0, assuming it's linear of course. You can see that in the points given, the first 2 have the same x and the second 2 have the same y.

5 0
2 years ago
I WILL GIVE BRAINLIEST TO BEST EXPLANATION!! How many 6-digit numbers, formed using each digit from 1 to 6 exactly once, are div
wolverine [178]

Answer:

There are 360 such numbers.

Step-by-step explanation:

The number of 6-digit numbers, formed using each digit from 1 to 6 excactly once, means we can have numbers like

123456, 123465, 123546,123564,.... 654321

The number of such numbers is given by 6! because we have a choice of 6 numbers for the first digit, 5 left for the next, ... until the last digit has only one choice.

6! = 6*5*4*3*2*1 = 720

We know that 1+2+3+4+5+6 = 21 is divisible by three, so all 720 numbers are divisible by 3.

However, to be divisible by six, we need a number divisible by three AND divisible by two.

Thus, out of the 720 numbers, we need count only the even numbers, which are exact half of the 720, or 360.

Therefore there are 360 6-digit numbers, formed using each digit from 1 to 6 exactly once, are divisible by 6.

4 0
3 years ago
Read 2 more answers
The difference between city hall and the post office is 6 1/2 miles ( six and one half)city hall is 1 1/3 (one and one fourth NO
Norma-Jean [14]
City hall to post office = 6 1/2 miles  = represented by f
city hall to library site = 1 1/4 miles  = represented by d
library site to post office = unknown. = represented by e

City hall to library site  PLUS library site to post office IS EQUAL to city hall to post office

d + e = f

1 1/4 + e = 6 1/2

find e.
e = 6 1/2 - 1 1/4
e = 13/2 - 5/4
e = (13*2)/(2*2)  - 5/4
e= 26/4 - 5/4
e = (26-5)/4
e = 21/4
e = 5 1/4    distance from library site to post office.
 
To check:
d + e = f

1 1/4 + e = 6 1/2
1 1/4 + 5 1/4 = 6 1/2
6 2/4 = 6 1/2
6 1/2 = 6 1/2



6 0
4 years ago
What would my grade be if i got 68% on my exam?
SashulF [63]
Your grade would be a d+ try to do better next time
3 0
3 years ago
Read 2 more answers
For the following question, find the volume of the given prism. Round to the nearest tenth if necessary
NARA [144]

The volume of the triangular prism is 1756.3 cubic yd option second is correct.

<h3>What is volume?</h3>

It is defined as a three-dimensional space enclosed by an object or thing.

We know that the volume of a triangular prism is given by:

\rm V = \dfrac{1}{2}\times b\times l\times h

Where b is the base length, l is the base width, and h is the height of the prism.

\rm h=\sqrt{13^2-(\dfrac{13}{2}) ^2

h = 11.2583 yd

b = 13 yd

l = 24 yd

\rm V = \dfrac{1}{2}\times 13\times 24\times 11.2583

V = 1756.29 ≈ 1756.3 cubic yd

Thus, the volume of the triangular prism is 1756.3 cubic yd option second is correct.

Learn more about the volume here:

brainly.com/question/16788902

#SPJ1

5 0
2 years ago
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