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Rudik [331]
3 years ago
8

The angle of elevation to the top of a Building in New York is found to be 8 degrees from the ground at a distance of 1 mile fro

m the base of the building. Using this information, find the height of the building. Round to the tenths. Hint: 1 mile = 5280 feet
Your answer is ? feet.
Mathematics
1 answer:
Iteru [2.4K]3 years ago
3 0

Answer:

  • 742.1 ft

Step-by-step explanation:

The three points, the top and bottom of the building and the remote point form a right triangle where vertical and horizontal distances are the legs of this triangle.

Let the height be h.

Find its value using trigonometry:

  • tan 8° = h / 5280 ft
  • h = 5280 tan 8°
  • h = 742.1 ft (rounded)
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Mario bought a new car for $25,000. The value of the car is decreasing at a rate of 12.5% every year. After 3
maxonik [38]

Answer:

$16,748

Step-by-step explanation:

we know that

The equation of a exponential decay function is equal to

y=a(1-r)^x

where

y is the value of the car

x is the number of years

a is the initial value

r is the rate of change

In this problem we have

a=\$25,000\\r=12.5\%=12.5/100=0.125

substitute

y=25,000(1-0.125)^x

y=25,000(0.875)^x

For x=3 years

substitute

y=25,000(0.875)^3=\$16,748

7 0
4 years ago
Jake studied x hours for a big test. Julie studied half as long. Write an algebraic expression for long julie studied.
kipiarov [429]
X/2 is howling Julie studied
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4 years ago
Compare and order the numbers below from least to<br> greatest.<br> 4.6,2.8,,17,7
marishachu [46]

Answer:

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Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Find the constant rate of change.
Aleonysh [2.5K]

Answer:

-1

Step-by-step explanation:

slope = y2-y1/x2-x1

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3 0
3 years ago
Select the correct answer!<br> Help asap thanks
tester [92]

The area of the shaded region is 3.125π - 6. The correct option is E. 3.125π - 6

<h3>Calculating area </h3>

From the question, we are to determine the area of the shaded region

The area of the shaded region = Area of the semicircle - Area of the triangle

First, we will determine the diameter, d, of the semicircle

d² = 3² + 4² (<em>Pythagorean theorem</em>)

d² = 9 + 16

d² = 25

d = √25

d = 5

∴ Diameter of the semicircle is 5

Thus,

Radius, r = 5/2 = 2.5

Now,

Area of the shaded region = 1/2(π×2.5²) - 1/2(3×4)

Area of the shaded region = 1/2(π×6.25) - 1/2(12)

Area of the shaded region = 3.125π - 6

Hence, the area of the shaded region is 3.125π - 6. The correct option is E. 3.125π - 6

Learn more on Calculating area here: brainly.com/question/14989383

#SPJ1

7 0
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