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Alex17521 [72]
4 years ago
12

A forest ranger spots a fire on a 28 foot tower,the angle of depression from the tower to the fire is 11 degrees to the nearest

foot how far is the fire from the base of the tower show the steps you use to find the solution.
Mathematics
1 answer:
Gnesinka [82]4 years ago
6 0
The angle of depression is 11°.
The angle of elevation is also 11°.
d - distance from the base of the tower to the fire;
d = 28 ft / tan 11° = 28 ft / 0.19438 = 144 ft
Answer:
The fire is 144 ft from the base of the tower.
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ad-work [718]
To find the perimeter of the triangle you need to add up all the side lengths
2x - 7 + 5x - 3 + 2x - 2
Now move like terms, the ones with x and ones without, next to each other.
(You can skip this step, but I think it makes it easier to understand.)
2x + 5x + 2x - 7 - 3 - 2
Now just add like terms to get your answer.
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4 years ago
Suppose a country has a population of 50 million and projects a growth rate of 4% per year for the next 20 years. What will the
ser-zykov [4K]

Answer:

The population of this country in 11 years will be 76972702.82

Step-by-step explanation:

The population of this country in 11 years can be calculated using the formula

Population in 11 years =  Starting population x (1+growth rate)^{period}

Thus

Population in 11 years =50000000×(1+0.04)^{11} =76972702.82

6 0
3 years ago
In the picture try to find x. please help I’ll give extra points.
stepan [7]
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7 0
3 years ago
A phone company offers two monthly plans. Plan A costs $25 plus an additional $0.09 for each minute of calls. Plan B has no init
Lisa [10]

Using linear functions, it is found that the two plans cost the same for 5000 minutes of calling.

<h3>What is a linear function?</h3>

A linear function is modeled by:

y = mx + b

In which:

  • m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
  • b is the y-intercept, which is the value of y when x = 0.

For Plan A, the cost is of $25 plus an additional $0.09 for each minute of calls, hence the y-intercept is b = 25, the slope is of a = 0.09, and the function is:

A(x) = 0.09x + 25

For Plan B, the cost is of $0.14 for each minute of calls, hence the y-intercept is b = 0, the slope is of a = 0.14, and the function is:

B(x) = 0.14x

The plans cost the same for x minutes of calling, considering that:

B(x) = A(x)

0.14x = 0.09x + 25

0.05x = 250

x = \frac{250}{0.05}

x = 5000

The two plans cost the same for 5000 minutes of calling.

To learn more about linear functions, you can take a look at brainly.com/question/24808124

6 0
3 years ago
X = 2, y = -1
ivann1987 [24]

Answer:

b

Step-by-step explanation:

3 0
4 years ago
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