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defon
4 years ago
9

What is the volume of the box if it is scaled down by a factor of 1/10?

Mathematics
1 answer:
Natalka [10]4 years ago
8 0

Answer:

8.4in²

Step-by-step explanation:

We are given the dimensions of a box as :

7in = Height

6in = Length

2in = Width

The volume of a box = Length × Width × Height

Volume of a box = 7in × 6in × 2in

= 84in²

We are also told in the question to find the volume of the box if it is scaled down by a factor of 1/10

Hence,the new volume = 84in² × 1/10

= 8.4in²

Therefore, the volume of the box if it is scaled down by a factor of 1/10 is 8.4in²

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Hyun Woo is riding a ferris wheel. H t H(t) models his height (in m m) above the ground, t t seconds after the ride starts. Here
worty [1.4K]

Answer:

<u></u>

  • <u>53 seconds.</u>

Explanation:

The text and the model are garbled.

This is the question amended:

<em />

<em>Hyun Woo is riding a ferris wheel. H(t) models his height (in m) above the ground, t seconds after the ride starts. Here, t is entered in radians.</em>

<em>H(t) = -10 cos(2π/150 t)+10</em>

<em />

<em>When does Hyun Woo first reach a height of 16 m?</em>

<em />

<h2>Solution</h2>

<em />

When <em>Hyun Woo reaches a height of 16 m</em> the <em>model </em>states:

  • <em>16 = -10 cos(2π/150 t)+10</em>

<em />

Then you must find the lowest positive value of t that is a solution of the equation.

Solve the equation:

  • <em>16 = -10 cos(2π/150 t)+10</em>

  • 10cos(2π/150 t) = - 6

  • cos(2π/150t) = -0.6

  • 2π/150t = arccos(-0.6)

  • 2π/150t = 2.214297

  • t = 52.86s ≈ 53 s ← answer
4 0
3 years ago
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6 0
3 years ago
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