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Nimfa-mama [501]
2 years ago
9

If 2sinθ=65, what is cos(90°−θ)? A 3/5 B 4/5 C 5/4 D 5/3

Mathematics
1 answer:
Law Incorporation [45]2 years ago
7 0

Answer: A

Step-by-step explanation:

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<img src="https://tex.z-dn.net/?f=1%20%2B%20%20log_%7B2%7D%28x%20-%202%29%20%20%3D%20%20%20log_%7B2%7Dx" id="TexFormula1" title=
fenix001 [56]

Move all the logarithms on the left hand side, and all the constants on the other:

\log_2(x-2) - \log_2(x) = -1

Use the rule of logarithms

\log_a(b) - \log_a(c) = \log_a\left(\dfrac{b}{c}\right)

To rewrite the equation as

\log_2\left(\dfrac{x-2}{x}\right) = -1

Evaluate 2 to the power of each side:

\dfrac{x-2}{x} = 2^{-1} = \dfrac{1}{2}

Multiply both sides by 2x:

2(x-2) = x \iff 2x-4 = x \iff x = 4

6 0
4 years ago
Read 2 more answers
On an architects blueprint, 1 inch corresponds to 9 feet. If an exterior wall is 60 feet long, find how long the blueprint measu
andre [41]

Answer:

x = 6.67 inches

Step-by-step explanation:

Set upa s a proportion

x/60 = 1/9

x = 1/9 * 60

x = 6.67 inches

6 0
3 years ago
Manny and Evan were flying paper airplanes. Manny’s airplane flew 36.5 centimeters and Evan’s airplane flew 18 centimeters. How
professor190 [17]
First subtract manny value 36.5 from Evan values 18 which will give u 18.5 cm which then u have to convert. Since 1 cm is about .4, we can multiply 18.5 by .4 to get the answer 7.4 inches
7 0
3 years ago
Read 2 more answers
CAN I ALSO GET AN EXPLANATION PLEASE!​
ddd [48]

Answer:

ok no prob ...........lolllllll

7 0
3 years ago
2) Dorothy types 120 words per minute. How many words does Dorothy type in
Damm [24]

Answer:

D (210)

Step-by-step explanation:

120 times 1.75 equals 210

6 0
3 years ago
Read 2 more answers
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