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siniylev [52]
3 years ago
9

Find f(3) given f(x)=4^x

Mathematics
1 answer:
lions [1.4K]3 years ago
6 0

Answer:

f(3) , x is 3.

4^3

4(4) = 16

16(4) = 64

4^3 = 64

f(3) = 64

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Answer:

x = 375.3

Step-by-step explanation:

Given

See attachment for illustration

Required

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The horizontal distance is the distance between the technician and the base of the pole.

Represent this with x.

The relationship between x, 175ft and 25 degrees is represented as:

tan(25^{\circ}) = \frac{175}{x} --- i.e. tan formula

Multiply both sides by x

x * tan(25^{\circ}) = \frac{175}{x} * x

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Make x the subject

x = \frac{175}{tan(25^{\circ})}

x = \frac{175}{0.4663}

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<em>The distance is approximately 375.3ft</em>

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