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Arlecino [84]
2 years ago
10

Help PLEASE!!! Find X for the triangle.

Mathematics
1 answer:
aleksklad [387]2 years ago
8 0

Answer:

<h2>8</h2>

Step-by-step explanation:

Hypotenuse = 8\sqrt{2} \\Adjacent =x\\\alpha =45\\\\Using\: SOHCAHTOA\\Cos \alpha = \frac{Adjacent}{Hypotenuse}\\\\Cos 45 = \frac{x}{8\sqrt{2} } \\\frac{\sqrt{2} }{2} =\frac{x}{8\sqrt{2} }\\ \\Cross \: Multiply\\2x =16\\\frac{2x}{2} =\frac{16}{2} \\\\x =8

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The perimeter of a regulation singles tennis court is 210 feet and the length is 57 feet less than five times the width.
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Length = 24 and Width = 81

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Billy is walking from the front door of his house to his bus stop, which is 960 feet away from his front door. As Billy walks ou
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Answer:

b) 690 - 7.5*t

c) 0 < t < 92s time (t) is independent quantity

d) 0 < s < 690ft distance from bus stop (s) is dependent quantity

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Step-by-step explanation:

Part a - see diagram

part b

initial distance from bus stop s0 = 690 ft

distance covered = 7.5*t

s = s0 - distance covered

s = 690 - 7.5*t = f(t)

part c

s = 0 or s = 690

0 = 690 -7.5*t

t = 92 s

Hence domain : 0 < t < 92s time (t) is independent quantity

part d

s = 0 or s = 690

Hence range : 0 < s < 690ft distance from bus stop (s) is dependent quantity because it depends on time (t)

part e

f(0) is s @t = 0

f(0) = 690 ft away from bus stop

f(60.25) is s @t = 60.25

f(60.25) = 690 - 7.5*60.25 = 238.125 ft away from bus stop.

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