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4 years ago

Determine the height of the triangle.

Mathematics

1 answer:

vodomira [7]4 years ago

6 0

Answer:

Option B is correct.

Step-by-step explanation:

We need to find the height of triangle.

The triangle is right angled triangle

We are given Hypotenuse = 25

Perpendicular = h

and angle Ф = 34°

We know that sinФ = Perpendicular / Hypotenuse

sin 34° = h / 25

0.56 = h/25

=> h = 0.56 * 25

=> h = 14 ft

So, the height of triangle is h= 14 ft

So, Option B is correct.

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Find sin x/2, cos x/2, and tan x/2, if cos x = -12/13, 180 degrees is less than x which is less than 270 degrees

Rashid [163]

Cos x = -12/13
sin x = -sqrt(13^2 - 12^2) / 13 = -5/13
tan x = 5/12

tan x/2 = (1 - cos x) / sin x = 1 - (-12/13) / -5/13 = 25/13 * -13/5 = -5

2sin^2 x/2 = 1 - cos x = 1 - (-12/13) = 25/13
sin^2 x/2 = 25/13 / 2 = 25/26
sin x/2 = 5/√26

sin x/2 / cos x/2 = tan x/2
cos x/2 = sin x/2 / tan x/2 = 5/√26 / -5 = -1/√26

sin x/2 = 5/√26
cos x/2 = -1/√26
tan x/2 = -5

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3 years ago

A firefighter sees a woman trapped in a building 47 feet up from the bottom floor. If the firefighter is parked 43 feet away fro

Airida [17]

Answer:

48 degrees

Step-by-step explanation:

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3 years ago

Suppose the claim size of an auto collision insurance, X, is uniformly distributed on the interval $1,000 to $10,000. What is th

timurjin [86]

Answer:

35.35%

Step-by-step explanation:

If there were no deductibles, the expected claim payment would be:

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If the collision insurance claim is under $2,000, then the insurer would not pay anything, but if X > $2,000, then the insurer would pay X - $2,000. The new expected value is:

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There was a 35.35% reduction.

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3 years ago

Please help I don't undestand

Alla [95]

By applying the law of sines and some algebraic handling, the length of the side LJ is approximately equal to 3.517 units. (Right choice: D)

<h3>What is the missing side of the triangle according to the law of sines?</h3>

The law of sines presents a relationship between sides and opposite angles, which is described below:

9/sin 89° = LJ/sin 23° (1)

LJ = 9 × sin 23°/sin 89°

LJ ≈ 3.517

By applying the law of sines and some algebraic handling, the length of the side LJ is approximately equal to 3.517 units. (Right choice: D)

To learn more on law of sines: brainly.com/question/21634338

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2 years ago

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kondaur [170]

Answer: