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Usimov [2.4K]
3 years ago
10

A circular pool has a diameter of 40 feet and is surrounded by a wooden deck that has a width of 4 feet and a depth of 6 inches.

what is the volume of the wooden deck
Mathematics
1 answer:
Dvinal [7]3 years ago
8 0
40x4x6= 960 square inches
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A cube has a volume of 125 cubic feet. What is the length of each side of the cube
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Length= 5
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-1/2x - 3 =4 <br> which is the value of x?
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x = -14

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Keith weighs 20 kg more than Beth,while henry weighs 30kg less than twice as much as Beth. If Keith and Henry weigh the same, ho
dybincka [34]

Answer:

50kg

Step-by-step explanation:

K = Keith  B = Beth  H = Henry

K = 20 + B

H = 2B - 30

K = H

20 + B = 2B - 30

B = 50kg

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A concrete slab 4 inches deep will be poured for the floor of greenhouse A. How many cubic feet of concretar are needed for the
Mars2501 [29]

This question is incomplete

Complete Question

Consider greenhouse A with floor dimensions w = 16 feet , l = 18 feet.

A concrete slab 4 inches deep will be poured for the floor of greenhouse A. How many cubic feet of concrete are needed for the floor?

Answer:

96 cubic feet

Step-by-step explanation:

The volume of the floor of the green house = Length × Width × Height

We convert the dimensions in feet to inches

1 foot = 12 inches

For width

1 foot = 12 inches

16 feet = x

Cross Multiply

x = 16 × 12 inches

x = 192 inches

For length

1 foot = 12 inches

18 feet = x

Cross Multiply

x = 18 × 12 inches

x = 216 inches

The height or depth = 4 inches deep

Hence,

Volume = 192 inches × 216 inches × 4 inches

= 165888 cubic inches

From cubic inches to cubic feet

1 cubic inches = 0.000578704 cubic foot

165888 cubic inches = x

Cross Multiply

x = 16588 × 0.000578704 cubic foot

x = 96 cubic feet

Therefore, 96 cubic feet of concrete is needed for the floor

8 0
3 years ago
Pat needs to determine the height of a tree before cutting it down to be sure that it will not fall on a nearby fence. The angle
dem82 [27]

Answer:

229.23 feet.

Step-by-step explanation:

The pictorial representation of the problem is attached herewith.

Our goal is to determine the height, h of the tree in the right triangle given.

In Triangle BOH

Tan 60^0=\dfrac{h}{x}\\h=xTan 60^0

Similarly, In Triangle BOL

Tan 50^0=\dfrac{h}{x+60}\\h=(x+60)Tan 50^0

Equating the Value of h

xTan 60^0=(x+60)Tan 50^0\\xTan 60^0=xTan 50^0+60Tan 50^0\\xTan 60^0-xTan 50^0=60Tan 50^0\\x(Tan 60^0-Tan 50^0)=60Tan 50^0\\x=\dfrac{60Tan 50^0}{Tan 60^0-Tan 50^0} ft

Since we have found the value of x, we can now determine the height, h of the tree.

h=\left(\dfrac{60Tan 50^0}{Tan 60^0-Tan 50^0}\right)\cdotTan 60^0\\h=229.23 feet

The height of the tree is 229.23 feet.

5 0
3 years ago
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