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makvit [3.9K]
3 years ago
12

when the sun's angle of elevation is 57°, a building casts a shadow 21 m long. how high is the building?

Mathematics
1 answer:
patriot [66]3 years ago
5 0
Check the picture below.

make sure your calculator is in Degree mode.

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65

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its simple math

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If 15 books cost $90, what is the unit price?
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Determine the domain of the function (fog)(x) where f(x)=3x-1/x-4 and g(x)=x+1/x
Katarina [22]

Answer: (-∞,-1) ∪ (0,+∞)

Step-by-step explanation: The representation fog(x) is a representation of composite function, meaning one depends on the other.

In this case, fog(x) means:

fog(x) = f(g(x))

fog(x) = 3(x+\frac{1}{x} )-\frac{1}{x+\frac{1}{x} } -4

fog(x)=3x+\frac{3}{x} -\frac{1}{\frac{x^{2}+x}{x} } -4

fog(x)=3x+\frac{3}{x} -\frac{x}{x^{2}+x} -4

fog(x)=\frac{3x^{2}(x^{2}+x)+3(x^{2}+x)-x-4x(x^{2}+x)}{x(x^{2}+x)}

fog(x)=\frac{3x^{4}+3x^{3}+3x^{2}+3x-x-4x^{3}+4x^{2}}{x(x^{2}+x)}

fog(x)=\frac{3x^{4}-x^{3}-x^{2}+2x}{x(x^{2}+x)}

This is the function fog(x).

The domain of a function is all the values the independent variable can assume.

For fog(x), denominator can be zero, so:

x(x^{2}+x) \neq 0

If x = 0, the function doesn't exist.

x^{2}+x \neq0

x(x+1) \neq0

x+1\neq0

x\neq-1

<u>Therefore, the domain of this function is: </u><u>-∞ < -1 or x > 0</u>

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3 years ago
If 10 man can work 6hours.How many more men are needed towork in 4 hours​
Lerok [7]

Answer:

5 more men

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10 men do a job in 6 hours.

To do the job in 2 hours, 1/3 of the time, you need 3 times as many men.

30 men do a job in 2 hours.

To do the job in twice the time, 4 hours, you need half the men.

15 men do a job in 4 hours.

15 men - 10 men = 5 men

You need 5 more men.

4 0
2 years ago
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NO IT IS NOT

Step-by-step explanation:

LOOK IN THE CALUCULATOR

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