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2 years ago

If

Mathematics

1 answer:

Nikitich [7]2 years ago

5 0

The value of x has changed by the factor of 1.44.

We have -

initial value of x = x (i) = 25

final value of x = x (f) = 36

We have to calculate by how much the value of x has changed.

<h3>If initial value of x = ' n ' and later it is increased to ' m '. Find out by how much the value of x has changed ?</h3>

In order to find out how much the x has changed - suppose it has changed by a factor of $a$ . Then -

m = n x a

We can use the above concept to solve the question -

m = x (f) = 36

n = x (i) = 25

The value of ' x ' has changed by the factor of -

a = $\frac{x(f)}{x(i)}$ = $\frac{36}{25}$ = 1.44

Hence, the value of x has changed by the factor of 1.44.

To solve more questions estimating the approximate change in function, visit the link below -

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From his eye, which stands 1.59 meters above the ground, Francisco measures the

viva [34]

The height of the skyscraper to the nearest tenth is 234. 95 meters.

<h3>How to determine the height</h3>

From the information given, we have:

angle of elevation = 32°
length of the base, adjacent side = 376 meters
height of the skyscraper, opposite side = x meters

To determine the height of the elevator, let's use the tangent identity

We have that;

tan θ = opposite/ adjacent

The value of the opposite side is 'x' which is the height of the skyscraper and the value of the adjacent side is 376 meters which is the length of the base of the skyscraper

Now, substitute the values, we have;

tan 32 = x/ 376

cross multiply

x = tan 32 × 376

x = 0. 6249 × 376

x = 234. 95 meters

We know that the 'x' represents the opposite side and thus the height of the skyscraper

Thus, the height of the skyscraper to the nearest tenth is 234. 95 meters.

Learn more about angle of elevation here:

brainly.com/question/19594654

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7 0

2 years ago

A house cost $120,000 when it was purchased. The value of the house increases by 10% each year. Find the rate of growth each mon

Svetllana [295]

1200,000(1+.1)=(the answer) sorry I don't have a calculator with me.

3 0

3 years ago

Two mathematical questions attached below.

BartSMP [9]

Answer:

See below

Step-by-step explanation:

$9.( {m}^{3} {n}^{5} )^{ \frac{1}{4} } \\ = m^{\frac{3}{4}}n^{\frac{5}{4}}\\ \\ 10. \sqrt[5]{ \sqrt[4]{x} } \\ = \sqrt[5]{ {x}^{ \frac{1}{4} } } \\ = {( {x}^{ \frac{1}{4} } )}^{ \frac{1}{5} } \\ = {x}^{ \frac{1}{4} \times \frac{1}{5} } \\ = {x}^{ \frac{1}{20} } \\ \\ \sqrt[5]{ \sqrt[3]{ {a}^{2} } } \\ = \sqrt[5]{ {a}^{ \frac{2}{3} } } \\ = {( {a}^{ \frac{2}{3} } )}^{ \frac{1}{5} } \\ = {a}^{ \frac{2}{3} \times \frac{1}{5} } \\ = {a}^{ \frac{2}{15} }$