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3 years ago

What is the value of y?

Mathematics

1 answer:

Lelu [443]3 years ago

3 0

Answer:

y=66

Step-by-step explanation:

(y-31)+(180-(y+35))+y=180

y-31+145-y+y=180

y=180-114

y=66

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3 years ago

A 5.9-foot-tall-man stands near a 12-foot statue. The man places a mirror on the ground a certain distance from the base of the

jeka94

Answer:

14.24 foot far is the mirror from the base of the statue.

Step-by-step explanation:

Proportion states that the two ratios or fractions are equal.

As per the statement:

See the diagram as shown below:

Height of a boy = 5.9 foot tall

Height of a statue = 12 foot.

Distance of a boy from the mirror = 7 feet.

Let x be the distance of the mirror from the base of the statue.

then by definition of proportion we have;

$\frac{\text{Height of a boy}}{\text{Distance of a boy from the mirror}}= \frac{\text{Height of a statues}}{\text{Distance of mirror from the base of the statue} }$

Substitute the given values we have;

$\frac{5.9}{7} =\frac{12}{x}$

By cross multiply we have;

$5.9x = 84$

Divide both sides by 5.9 we have;

x = 14.24 ft

Therefore, 14.24 foot far is the mirror from the base of the statue.

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3 years ago

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saveliy_v [14]

Answer:

Step-by-step explanation:

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4 years ago

Is it possible for the function f(x) - 5 x 2^x to have an output of 200?

Advocard [28]

Answer:

The solution is possible

Step-by-step explanation:

Given

$f(x) = 5 * 2^x$

Required

Is an output of 200, possible?

To know if it is possible or not, we start by substituting 200 for f(x)

$200 = 5 * 2^x$

Divide both sides by 5

$\frac{200}{5} = \frac{5}{5} * 2^x$

$\frac{200}{5} = 2^x$

$40 = 2^x$

$2^x =40$

Take logarithm of both sides

$log2^x =log40$

Apply law of logarithm

$xlog2 =log40$

Divide both sides by log2

$x = \frac{log40}{log2}$

$x = \frac{1.6021}{0.3010}$

$x = 5.32$

for f(x) = 200, x is approximately 5.32

Hence, the solution is possible

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3 years ago

Explain the steps (in order) of how to write this function:

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Answer:

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4x+22

Step-by-step explanation:

4×x=4x then 4×5=20+2

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3 years ago