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Inessa05 [86]
3 years ago
6

Mario is constructing a frame for a 10 in .by 8 in. photo. He wants the frame to be the same width all the way around and the to

tal area of the frame and photo to be 120 square inches. What is the dimension of the frame?
Mathematics
2 answers:
alexgriva [62]3 years ago
8 0
(10+2x)(8+2x) = 120
4x^2 + 36x + 80 = 120
x^2 + 9x + 20 = 30

x^2 + 9x - 10 = 0

(x+10)(x-1) = 0

x = 1 inch dimension
mixas84 [53]3 years ago
6 0
<span>(10+2x)(8+2x) = 120

4x^2 + 36x + 80 = 120
x^2 + 9x + 20 = 30
---
x^2 + 9x - 10 = 0
-----
(x+10)(x-1) = 0
---
x = 1 inch
----
Ans: Width of frame = 1 in
</span>
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A college has an acceptance rate of 17%. If 3,240 students apply, about
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550

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6 0
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Read 2 more answers
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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