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julia-pushkina [17]
3 years ago
15

A rectangular prism has a volume of 572 cubic inches. The prism is 4 inches long and 13 inches wide. What is the height of the p

rism?
Mathematics
1 answer:
Leya [2.2K]3 years ago
4 0

Answer:

Height of rectangular prism = 11 inches

Step-by-step explanation:

Given that:

Volume of rectangular prism = 572 cubic inches

Length of prism = 4 inches

Width of prism = 13 inches

Volume of prism = Length * Width * Height

572 = 4 * 13 * h

572 = 52h

52h = 572

Dividing both sides by 52

\frac{52h}{52}=\frac{572}{52}\\h=11

Hence,

Height of rectangular prism = 11 inches

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Answer:

The second time when Luiza reaches a height of 1.2 m = 2 08 s

Step-by-step explanation:

Complete Question

Luiza is jumping on a trampoline. Ht models her distance above the ground (in m) t seconds after she starts jumping. Here, the angle is entered in radians.

H(t) = -0.6 cos (2pi/2.5)t + 1.5.

What is the second time when Luiza reaches a height of 1.2 m? Round your final answer to the nearest hundredth of a second.

Solution

Luiza is jumping on trampolines and her height above the levelled ground at any time, t, is given as

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1.2 = -0.6cos⁡(2π/2.5)t + 1.5

0.6cos⁡(2π/2.5)t = 1.2 - 1.5 = -0.3

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This is the first time, the second time that cos θ = 0.5 is in the fourth quadrant,

Cos (5π/3) = 0.5

So,

Cos (2π/2.5)t = Cos (5π/3)

(2π/2.5)t = (5π/3)

(2/2.5) × t = (5/3)

t = (5/3) × (2.5/2) = 2.0833333 = 2.08 s to the neareast hundredth of a second.

Hope this Helps!!!

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Step-by-step explanation:

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Wich ratio is equivalent 8) show work<br> 54:18 and 18:6
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