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ad-work [718]
3 years ago
12

Curly used a shovel to dig his own swimming pool. He figured he needed a pool because digging it was hard work, and he could use

it to cool off after working on it all day. He also planned to build a rectangular concrete deck around the pool that would be 6 feet wide at all points. The pool is rectangular and measures 14 feet by 40 feet. What is the area of the deck?

Mathematics
1 answer:
Svetlanka [38]3 years ago
7 0
Check the picture below.

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Three right triangles are drawn in the coordinate plane,
SashulF [63]

Answer:

Triangle A:

- smaller leg = 3

- longer leg = 10

- hypotenuse = 10.4

Traingle B:

- smaller leg = 4

- longer leg = 13

- hypotenuse = 13.6

Triangle C:

- smaller leg = 5

- longer leg = 7

- hypotenuse = 8.6

Step-by-step explanation:

Let's find the distance of the legs for the 3 right triangles.

<u>Triangle A</u>

The smaller leg (SL) is from (2,5) to (2,8), so the length is given by the distance in the y-axis:

SL_{A} = 8 - 5 = 3

Hence, the lenght of the smaller leg is 3.

The longer leg (LL) is from (-8, 8) to (2, 8), so the length is given by the distance in the x-axis:

LL_{A} = 2 - (-8) = 10

Then, the length of the longer leg is 10.  

Now, we can find the hypotenuse (H) by using Pitagoras:

H_{A} = \sqrt{SL_{A}^{2} + LL_{A}^{2}} = \sqrt{3^{2} + 10^{2}} = 10.4

<u>Triangle B</u>

The SL is from (3, -9) to (7, -9)

The length of the SL is:

SL_{B} = 7 - 3 = 4

The LL is from (7, -9) to (7, 4)

The length of the LL is:

LL_{B} = 4 - (-9) = 13

The hypotenuse is:

H_{B} = \sqrt{4^{2} + 13^{2}} = 13.6

<u>Triangle C</u>

The SL is from (-10, -6) to (-10, -1)

The length of the SL is:

SL_{C} = -1 - (-6) = 5

The LL is from (-10, -6) to (-3, -6)  

The length of the LL is:

LL_{C} = -3 - (-10) = 7

The hypotenuse is:

H_{C} = \sqrt{5^{2} + 7^{2}} = 8.6

I hope it helps you!

5 0
3 years ago
(−7.4 )+ L = 9.11 <br><br> What is L ?
statuscvo [17]

L = 16.51

Get variable onto one side of equation and simplify:

(−7.4 )+ L = 9.11

L = 9.11 + 7.4

L = 16.51

5 0
3 years ago
Read 2 more answers
How can I find the derivative problem using the quotient rule?
Lady_Fox [76]

You must do the quotient thing and then add 45.76 and subtract 32.

Your answer is 23.76x

4 0
3 years ago
Solve for r.<br><br> −88=11(r−6)<br><br> Enter your answer in the box.<br> Please help
miv72 [106K]

Answer:

r = -2

Step-by-step explanation:

−88=11(r−6)

-88 = 11r -66

11r =-88+66

11r = -22

r = -2

4 0
3 years ago
How do you do this? Its very hard and my brain wont work
tatiyna

Answer:

169.65

hope this helps

have a good day :)

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
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