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3 years ago

What is 10% of 92 I need the answer

Mathematics

1 answer:

Svet_ta [14]3 years ago

3 0

Answer:

10% of 92 is 9.2

Step-by-step explanation:

u move the decimal one number forward

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Use linear approximation to approximate 25.3‾‾‾‾√ as follows. Let f(x)=x√. The equation of the tangent line to f(x) at x=25 can

loris [4]

Answer:

Approximation f(25.3)=5.03 (real value=5.0299)

The approximation can be written as f(x)=0.1x+2.5

Step-by-step explanation:

We have to approximate $f(25.3)=\sqrt{25.3}$ with a linear function.

To approximate a function, we can use the Taylor series.

$f(x)=\sum_1^{\infty} \frac{f^{(n)}(a)}{n!}(x-a)^n$

The point a should be a point where the value of f(a) is known or easy to calculate.

In this case, the appropiate value for a is a=25.

Then we calculate the Taylor series with a number of terms needed to make a linear estimation.

$f(x)\approx f(a)+\frac{f'(a)}{1!}(x-a)$

The value of f'(a) needs the first derivate:

$f'(x)=\frac{1}{2\sqrt{x}}\\\\f'(a)=f'(25)=\frac{1}{2\sqrt{25}}=\frac{1}{2*5}=\frac{1}{10}$

Then

$f(x)\approx f(25)+\frac{1}{10}(x-25)=\sqrt{25} +\frac{1}{10}(x-25)\\\\f(x)\approx 5+\frac{1}{10}(x-25)$

We evaluate for x=25.3

$f(25.3)\approx 5+\frac{1}{10}(25.3-25)\\\\f(25.3)\approx 5+\frac{1}{10}(0.3)=5.03$

If we rearrange the approximation to be in the form mx+b we have:

$f(x)\approx 5+\frac{1}{10}(x-25)=5+0.1x-2.5\\\\f(x)\approx 0.1x+2.5$

Then, m=0.1 and b=2.5.

6 0

4 years ago

Pls help if u can!!

irinina [24]

21Step-by-step explanation:

5 0

3 years ago

Which equation can be used tº find B in the triangle below?

Anton [14]

Answer:

tanB=8/6

Step-by-step explanation:

6 0

3 years ago

55) A dilation of scale factor of 4 will produce a congruent figure<br>True or False

vivado [14]

Answer:

False

Step-by-step explanation:

When a figure is dilated by a scale factor of 4, the new figure produced will be 4 times the size of the original figure. This means that, the size would change while the shape remains the same as the original figure.

Congruent figures must have the same shape and size.

Therefore, the figure produced when a dilation of scale factor of 4 is done is not a congruent figure. Rather, it is a similar figure.

So, get statement is FALSE.

6 0

3 years ago

A surveyor stands 75 feet from a building. He measures the angle of elevation to the top of the building at 67.5°. How tall is t

Serggg [28]

Answer:

1694 ft

Step-by-step explanation:

The adjacent side of this right triangle is 75 feet in length, and the two given angles are 90 degrees and 67.5 degrees. Since the adjacent side is given and the opposite side is what we are looking for we can use

tan(x) = opposite/adjacent insert the given information into the equation

tan(67.5) = opposite / 75ft multiply both sides of the equation by 75

tan(67.5)*75 = opposite leaving us with the target variable

once you plug that equation into a calculator you get 1694 as your nearest whole answer.

6 0

3 years ago

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