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OLga [1]
2 years ago
11

A balloon flying at 3000 feet above the ocean measures the angles of depression of each end of an island directly in front of th

e balloon to be 75.8° and 15.6°. What is the length of the island to the nearest tenth of a mile?
Mathematics
1 answer:
saul85 [17]2 years ago
3 0
The length of the island will be given as follows:
tan θ=opposite/adjacent
thus:
tan75.8= 3000/a1
a1=3000tan75.8
a1=11855.885 ft

also:
tan15.6=3000/a2
a2=3000tan15.6
a2=837.62 ft
Thus the length of the island will be:
11855.885-837.615
=11,018.24 ft
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svet-max [94.6K]

Given:

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The probability that Jason will win all 3 of the prizes if once a raffle ticket wins a prize it is thrown away.

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Now,

\text{Probability}=\dfrac{\text{Favorable outcomes}}{\text{Total outcomes}}

\text{Probability}=\dfrac{n(A)}{n(S)}

\text{Probability}=\dfrac{^{10}C_3}{^{30}C_3}

\text{Probability}=\dfrac{\dfrac{10!}{(10-3)!3!}}{\dfrac{30!}{(30-3)!3!}}

\text{Probability}=\dfrac{10\times 9\times 8\times 7!}{7!3!}\times\dfrac{27!3!}{30\times 29\times 28\times 27!}

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Therefore, the correct option is A.

7 0
2 years ago
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This figure is made up of a triangle and a semicircle.
salantis [7]
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b=7 units
h=3 units
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the area of the figure=19.24+10.50----> 29.74 units²----> 29.7 units ²

the answer is
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The answer is Vertical Undefined so it's A: Undefined

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Answer:

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Now, plug that into 5y

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5(3)   Multiply
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5y = 15
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