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Sergeeva-Olga [200]
3 years ago
15

Find the length of the third side. If necessary, write in simplest radical form. 3 2

Mathematics
1 answer:
faltersainse [42]3 years ago
7 0

Answer:

4.2 ft

Step-by-step explanation:

Reference angle = 77°

Opposite side = DE = x

Hypotenuse = CD = 4.3 ft

Apply the trigonometric function of sine. Thus:

Sin 77 = opp/hyp

Sin 77 = x/4.3

Multiply both sides by 4.3

4.3 × sin 77 = x

x = 4.2 ft (nearest tenth)

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kirill115 [55]

Answer:

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Step-by-step explanation:

When x = -4  the output is -2

We are dividing by 2

When x = -2 the output is -1

f(x) = 1/2 x

Check when x = 2

f(2) = 1/2 (2) =1

3 0
4 years ago
Solve x (give answer as fractions or integers). 2^x =1/2​
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Answer:

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Step-by-step explanation:

When an exponent is negative, you have to move it to the denominator (or to the numerator if it's already on the denominator). Since the answer is \frac{1}{2}, you know that the 2 has been raised to the power of 1 (any number to the power of 1 is the same number), so you just make it negative. Hope that helps!

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Read 2 more answers
A company deposits $25,000 in a bank account that earns interest. The value of the account can be represented as 25,000e^0.0198t
nasty-shy [4]

Answer:

  k = 1.2

Step-by-step explanation:

Solving for t when the account value is 30,000, we have ...

  30,000 = 25,000e^(0.0198t)

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  ln(1.2) = 0.0198t

  t = ln(1.2)/0.0198

Matching this with the form ...

  t = ln(k)/0.0198

we see that k = 1.2.

_____

k is the multiplier of account value in time period t.

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