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olasank [31]
4 years ago
5

The base of a right pentagonal prism has an area of 20 square inches. if the prism has an altitude of 8 inches, determine and st

ate the volume of the prism, in cubic inches.
Mathematics
1 answer:
Hitman42 [59]4 years ago
7 0

Answer:

  160 in³

Step-by-step explanation:

The volume of a prism is given by the formula ...

  V = Bh

where B is the area of the base and h is the height. Filling in the given numbers, you have ...

  V = (20 in²)(8 in) = 160 in³

The volume of the prism is 160 cubic inches.

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Combine like terms: 80 + 50m + 65 + 40m​
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Answer:

90m+145

Step-by-step explanation:

80 + 50m + 65 + 40m​

90m+145

3 0
3 years ago
the legs account for 40% of the weight of the table. if the legs weigh 16 kg, find the total weight of the table
crimeas [40]

Answer:

40 kg

Step-by-step explanation:

To find the total weight, divide 16 by 0.4

16/0.4

= 40

So, the total weight of the table is 40 kg

5 0
3 years ago
The radius of a right circular cylinder is given by √(t+6) and its height is 1/6√t , where t is time in seconds and the dimensio
denis23 [38]

Answer:

The rate change of volume of the cylinder is \frac{\pi}{4} ( \sqrt t+\frac2{ \sqrt t}) cubic inch per second.

Step-by-step explanation:

Given that the radius of right circular cylinder is \sqrt{(t+6)}  and its height is \frac16 \sqrt t where t is time in second and the dimension are inches.

\therefore r = \sqrt{(t+6)}

The base area of the cylinder is A= \pi r^2

                                                        =\pi (\sqrt{t+6})^2

                                                       = \pi (t+6)

\therefore A= \pi(t+6)

Differentiating with respect to t

\frac{dA}{dt}=\pi

\therefore h=\frac16\sqrt t

Differentiating with respect to t

\frac{dh}{dt}=\frac16 \times \frac12(t)^{\frac12-1}

\Rightarrow \frac{dh}{dt}=\frac1{12} (t)^{-\frac12}

The volume of cylinder is V= Ah

∴V= Ah

Differentiating with respect to t

\frac{dV}{dt}=A\frac{dh}{dt}+h\frac{dA}{dt}

    =\pi (t+6). \frac1{12}t^{-\frac12} +\frac16\sqrt t . \pi

   =\pi. \frac1{12}.t^{\frac12}+\pi . 6.\frac1{12} t^{-\frac12} +\pi\frac16 \sqrt t

   =\frac{\pi}{4} ( \sqrt t+\frac2{ \sqrt t})

The rate change of volume of the cylinder is \frac{\pi}{4} ( \sqrt t+\frac2{ \sqrt t}) cubic inch per second.

5 0
3 years ago
HELP ME NUMBER 7 &amp; 8 Not Number 6 <br> (For number 7 you have to divide
Sauron [17]
The one that starts with the girl named katherine is 60.54
3 0
4 years ago
Shane's rare book collection contains 40 books. He donates 15% of his books to the national library, sells 14 of his books to a
irina [24]

Answer: 16 books

Step-by-step explanation:

40(.15)=6

40-6=34

34-14=20

20-4=16

8 0
3 years ago
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