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ohaa [14]
2 years ago
8

A 90-foot rope from the top of a tree house to the ground forms a 45° angle of elevation from the ground. How high is the top of

Mathematics
1 answer:
-Dominant- [34]2 years ago
6 0

Answer:

63.6 feet

Step-by-step explanation:

  • sin (45)=\frac{x}{90}
  • x=90 sin (45)
  • x=45\sqrt{2}
  • x = 63.6 feet
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8+18+20x16 ,

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Simplify the radical below.<br><br> √x^13<br><br> A. 13√x<br> B. 6x√x<br> C. x√x^12<br> D. x^6√x
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slavikrds [6]

Answer:

a. \frac{1}{4}  

Step-by-step explanation:  

We are asked to find the probability of getting 3 heads on 4 flips.

\text{Probability}=\frac{\text{Number of favorable outcomes}}{\text{Total number of possible outcomes}}

Since we know that flipping a fair coin has 2 equally likely possible outcomes, so flipping four coins will have 2*2*2*2=16 possible outcomes.

Sample space of possible outcomes.

HHHH, HHHT, HHTH, HHTT, HTHH, HTHT, HTTH, HTTT,

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We can see that there are 4 favorable outcomes of getting heads.

\text{Probability of getting 3 heads}=\frac{4}{16}

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Therefore, the probability of getting 3 heads on 4 coins will be \frac{1}{4} and option a is the correct choice.

5 0
3 years ago
Let f(X) = X + 8 and g(X) = x^2 - 6x - 7 find f(g(2)).
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So what you do is evaluate g(2) then plug that value in for x in f(x)

g(2)=2^2-6(2)-7
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now
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f(-15)=-7

f(g(2)=-7
4 0
3 years ago
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