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In-s [12.5K]
3 years ago
14

Show work please find the volume of the following irregular space figure to the nearest whole number

Mathematics
1 answer:
artcher [175]3 years ago
8 0

Answer:

144cm^3

Step-by-step explanation:

1) split the figure so you can find the volume of two rectangular prisms.

2) Find the volume of the first rectangular prism with the measurements of 2,       5, and 8. So the volume is 80

3) Find the volume of the second rectangular prism with the measurements of 4, 2, and 8. So you have 64

4) Add the two values 80+64.

5) Then that's your answer; 144

Hope this helps! :D

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Find the surface area of this rectangular prism. Be sure to include the correct unit in your answer.
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3 years ago
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melamori03 [73]
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3 years ago
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4 0
3 years ago
The height of a toy rocket that is shot in the air with an upward velocity of 48 feet per second can be modeled by the function
Irina18 [472]

Answer:

B) 36 ft

Step-by-step explanation:

Given:

The height as a function of time is given as:

f(t)=-16t^2+48t

At maximum height, the instantaneous velocity becomes 0. The instantaneous velocity is the first derivative of the height function.

So, the derivative of the the given function is 0 at the maximum height.

Differentiating the above function with time, we get

f'(t)=\frac{d}{dt}(-16t^2)+\frac{d}{dt}(48t)\\f'(t)=-32t+48

Now, equating the derivative to 0 and finding time.

f'(t)=0\\-32t+48=0\\32t=48\\t=\frac{48}{32}=1.5\ s

Therefore, time taken to reach maximum height is 1.5 s.

Now, maximum height is obtained by plugging in t=1.5 in the height equation.

Maximum height is given as:

h_{max}=-16(1.5)^2+48(1.5)\\h_{max}=-16\times 2.25+72\\h_{max}=-36+72\\h_{max}=36\ ft

4 0
3 years ago
Read 2 more answers
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