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sergeinik [125]
3 years ago
5

a vertical pole 10 ft. tall casts a 14-foot shadow. what is the angle of elevation of the sun to the nearest degree?

Mathematics
1 answer:
PtichkaEL [24]3 years ago
8 0
Draw a right triangle.

tan(theta) = \frac{opposite}{adjacent}

tan(theta) = \frac{10}{14}

Arctangent (tan^-1) can be used to find theta.

tan^{-1}(\frac{10}{14})=theta

theta\ is\ approx\ \boxed{36\ degrees}

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A line has an x-intercept of 4 and a y-intercept of -2. What is the equation of the line?
Evgesh-ka [11]

Answer:

y=x/2-2

Step-by-step explanation:

it's actually 1/2 times x is how your supposed to write it (like a fraction)

7 0
3 years ago
Find the number b such that the line y = b divides the region bounded by the curves x = y^2 − 1 and the y-axis into 2 regions wi
77julia77 [94]
Because of the symmetry, we can just go from x=0 to x=2 to find the area between 
<span>y = x^2 and y = 4 </span>

<span>that area = ∫4-x^2 dx from 0 to 2 </span>
<span>= [4x - (1/3)x^3] from 0 to 2 </span>
<span>= 8 - 8/3 - 0 </span>
<span>= 16/3 </span>

<span>so when y = b </span>
<span>x= √b </span>
<span>and we have the area as </span>
<span>∫(b - x^2) dx from 0 to √b </span>
<span>= [b x - (1/3)x^3] from 0 to √b </span>
<span>= b√b - (1/3)b√b - 0 </span>

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<span>b√b =4 </span>
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7 0
3 years ago
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IceJOKER [234]

Answer:

-5/3

Step-by-step explanation:

8 0
2 years ago
A linear function is graphed below.
Evgen [1.6K]

Answer:

-1\frac{1}{2}

Step-by-step explanation:

We have two coordinate points and are asked to find a slope.

When finding slope, we can use the formula listed :

\frac{y^2-y^1}{x^2-x^1}}

To understand what the variables are, you can take this :

(x^1,y^1)

(x^2,y^2)

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(-1,4)

(5,-5)

Now substitute it into the formula :

\frac{-5-4}{5-(-1)}

\frac{-3}{2}

-1\frac{1}{2}

4 0
3 years ago
Read 2 more answers
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