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USPshnik [31]
3 years ago
9

Find the volume of a pyramid with a square base, where the perimeter of the base is 7.4 ft and the height of the pyramid is 8.1

ft. Round your answer to the nearest tenth of a cubic foot.
Mathematics
1 answer:
Hoochie [10]3 years ago
6 0

9514 1404 393

Answer:

  9.2 ft³

Step-by-step explanation:

The side length of the square base is 1/4 of the perimeter, so is ...

  s = P/4 = (7.4 ft)/4 = 1.85 ft

The area of the base is the square of this, or ...

  A = s² = (1.85 ft)² = 3.4225 ft²

The volume of the pyramid is given by ...

  V = 1/3Bh = (1/3)(3.4225 ft²)(8.1 ft) = 9.24075 ft²

The volume of the pyramid is about 9.2 cubic feet.

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NNADVOKAT [17]

Answer:

C.)

Step-by-step explanation:

The graph is positive this time, so right away you can eliminate A and B.

If y=2x, the graph would be much steeper so the answer is C.) you can also check by graphing it in desmos.

4 0
3 years ago
Read 2 more answers
One week, Caroline earned $183.20 at her job when she worked for 8 hours. If she is paid the same hourly wage, how much would sh
faust18 [17]

Answer:

$297.70

Step-by-step explanation:

First, find her hourly wage:

183.20/8

= 22.9

Then, multiply this by 13:

22.9(13)

= 297.7

So, she will make $297.70 next week

7 0
3 years ago
On a morning of a day when the sun will pass directly​ overhead, the shadow of a 60​-ft building on level ground is 25 ft long.
AysviL [449]

Answer:

The shadow is decreasing at the rate of 3.55 inch/min

Step-by-step explanation:

The height of the building = 60ft

The shadow of the building on the level ground is 25ft long

Ѳ is increasing at the rate of 0.24°/min

Using SOHCAHTOA,

Tan Ѳ = opposite/ adjacent

= height of the building / length of the shadow

Tan Ѳ = h/x

X= h/tan Ѳ

Recall that tan Ѳ = sin Ѳ/cos Ѳ

X= h/x (sin Ѳ/cos Ѳ)

Differentiate with respect to t

dx/dt = (-h/sin²Ѳ)dѲ/dt

When x= 25ft

tanѲ = h/x

= 60/25

Ѳ= tan^-1(60/25)

= 67.38°

dѲ/dt= 0.24°/min

Convert the height in ft to inches

1 ft = 12 inches

Therefore, 60ft = 60*12

= 720 inches

Convert degree/min to radian/min

1°= 0.0175radian

Therefore, 0.24° = 0.24 * 0.0175

= 0.0042 radian/min

Recall that

dx/dt = (-h/sin²Ѳ)dѲ/dt

= (-720/sin²(67.38))*0.0042

= (-720/0.8521)*0.0042

-3.55 inch/min

Therefore, the rate at which the length of the shadow of the building decreases is 3.55 inches/min

8 0
3 years ago
Gravity Hospital purchased a new item of equipment on January 1,20X1. The equipment has an estimated useful life of ten years an
qaws [65]

Answer:

  $25000

Step-by-step explanation:

If the salvage value is 20% of the cost, then 80% of the cost will be depreciated over 10 years. Over the 5 years from Jan 1 20X1 to Dec 31 20X5, the $10,000 accumulated depreciation represents 5/10 of that 80%, or 40% of the initial cost.

  $10,000 = 0.40 × cost

  $10,000/0.40 = cost = $25,000

The acquisition cost of the equipment was $25,000.

8 0
3 years ago
Determine the unknown integer in each number sentence <br> 4 - ___ = 31
polet [3.4K]
4-x=31
-4=-4 
x=27
27 is the answer
4 0
3 years ago
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