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wolverine [178]
2 years ago
7

Write the slope-intercept form of the equation of the line described. Do not include any spaces.

Mathematics
1 answer:
aliya0001 [1]2 years ago
8 0
I am working on it...
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To estimate the height of a house Katie stood a certain distance from the house and determined that the angle of elevation to th
Nata [24]

the height of the house is 408ft .

<u>Step-by-step explanation:</u>

Here we have , To estimate the height of a house Katie stood a certain distance from the house and determined that the angle of elevation to the top of the house was 32 degrees. Katie then moved 200 feet closer to the house along a level street and determined the angle of elevation was 42 degrees. We need to find  What is the height of the house . Let's find out:

Let  y is the unknown height of the house, and x is the unknown number of feet she is standing from the house.

Distance of house from point A( initial point ) = x ft

Distance of house from point B( when she traveled 200 ft towards street  = x-200 ft

Now , According to question these scenarios are of right angle triangle as

At point A

⇒ Tan32 =\frac{Perpendicular}{Base}= \frac{y}{x}

⇒ Tan32 = \frac{y}{x}

⇒ y=x(Tan32 )       ..................(1)

Also , At point B

⇒ Tan42 = \frac{y}{x-200}

⇒ y=(x-200)(Tan42)     ..............(2)

Equating both equations:

⇒ (x-200)(Tan42) = x(Tan32)

⇒ x(Tan42-Tan32)=Tan42(200)

⇒ x=\frac{Tan42(200)}{(Tan42-Tan32)}

⇒ x=653ft

Putting  x=653ft in  y=x(Tan32 )  we get:

⇒  y=x(Tan32 )    

⇒  y=653(Tan32 )

⇒  y=408ft

Therefore , the height of the house is 408ft .

4 0
3 years ago
Find a distance between the two points
Alekssandra [29.7K]

i dont seem to understamd

6 0
3 years ago
Read 2 more answers
If you invest $4,500 in an account paying 2% compounded continuously, how much money will be in the account at the end of 4 year
saveliy_v [14]
Total = Principal * e^(rate*years)
Total = 4,500 * 2.718281828459^(.02*4)
Total = 4,500 * 2.718281828459^(.08)
Total = 4,500 * <span> <span> </span></span> <span> <span> <span> 1.0832870677 </span> </span> </span>
Total = <span> <span> <span> 4,874.79 </span> </span> </span>
calculator for checking the answer:
http://www.1728.org/compint.htm



7 0
2 years ago
The library at school is organized by fiction and nonfiction books. There are three nonfiction books for every seven fiction boo
iogann1982 [59]
Ratio- 3:7

240/3= 80
80x7=560
5 0
3 years ago
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Write an equation for the following scenario. The sum of 2 times a number and 8 is equal to 3 less than that number.
saul85 [17]

Answer: 2n + 8 = n -3

Step-by-step explanation:

In this scenario we will represent that number by the variable n.

So two times the number will be 2n plus  8  is 2n +8  and it has to equal 3 less that  number so it will be n-3.

6 0
3 years ago
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