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Aleonysh [2.5K]
3 years ago
12

Cathy is flying a kite. The kite has an angle of depression of 47 degrees and is flying on 35 feet of string. If Cathy is holdin

g the end of the string 5 feet off the ground, how high above the ground is the kite?
Mathematics
1 answer:
Kazeer [188]3 years ago
6 0
..................................
...................................
<span>28.8671 ft
</span>..................................
.................................
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2(x+x+12) &gt; 100 (why does the 20 character thing exist)
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Answer:

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Step-by-step explanation:

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What are the solutions of the following system? StartLayout Enlarged left-brace 1st row 10 x squared minus y = 48 2nd row 2 y =
jeyben [28]

Answer:

<u>The solutions of the system ⇒ (-6 , 312) and (6 , 312)</u>

Step-by-step explanation:

Given:

10x² - y = 48  ⇒(1)

2y = 16x² + 48 ⇒(2)

From eq.(1) ⇒ y = 10x² - 48 ⇒(3)

By substitution with y from eq.(3) at eq.(2)

∴ 2(10x² - 48) = 16x² + 48

Solve for x

∴ 20x² - 96 = 16x² + 48

∴ 20x² - 16x² = 48 + 96

∴ 4x² = 144

∴ x² = 144/4 = 36

∴ x = ±√36 = ±6

By substitution with x at eq.(3)

when x = 6 ⇒ y = 10x² - 48 = 10 * 6² - 48 = 10 * 36 - 48 = 312

when x = -6 ⇒ y = 10x² - 48 = 10 * (-6)² - 48 = 10 * 36 - 48 = 312

<u>So, there are two solutions of the system which are (-6,312) and (6,312)</u>

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3 years ago
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