All categories

3 years ago

Find 140 percent of 15.

Mathematics

2 answers:

Anuta_ua [19.1K]3 years ago

6 0

Answer:

Step-by-step explanation:

Firstly, convert this percentage into a decimal. All you have to do is move the decimal point two digits to the left.

Your percentage is currently 140.00. The decimal would be 1.40.

Next, take the given number (15 in this case) and multiply it by the decimal number:

15 * 1.40 = 21.

Hope this helped!

Setler [38]3 years ago

4 0

Answer:

Step-by-step explanation:

You might be interested in

Question:

aivan3 [116]

Answer:

part A) The scale factor of the sides (small to large) is 1/2

part B) Te ratio of the areas (small to large) is 1/4

part C) see the explanation

Step-by-step explanation:

Part A) Determine the scale factor of the sides (small to large).

we know that

The dilation is a non rigid transformation that produce similar figures

If two figures are similar, then the ratio of its corresponding sides is proportional

Let

z ----> the scale factor

$\frac{CB}{C'B'}=\frac{CD}{C'D'}=\frac{BD}{B'D'}$

The scale factor is equal to

$z=\frac{CB}{C'B'}$

substitute

$z=\frac{4}{8}$

simplify

$z=\frac{1}{2}$

Part B) What is the ratio of the areas (small to large)?

Area of the small triangle

$A=\frac{1}{2}(2)(4)=4\ units^2$

Area of the large triangle

$A=\frac{1}{2}(4)(8)=16\ units^2$

ratio of the areas (small to large)

$ratio=\frac{4}{16}=\frac{1}{4}$

Part C) Write a generalization about the ratio of the sides and the ratio of the areas of similar figures

In similar figures the ratio of its corresponding sides is proportional and this ratio is called the scale factor

In similar figures the ratio of its areas is equal to the scale factor squared

4 0

3 years ago

What is the area of this triangle?

Contact [7]

Answer: 43.5

Step-by-step explanation:

$A=\frac{1}{2}(8)(12)(\sin 65^{\circ}) \approx \boxed{43.5}$

6 0

2 years ago

Given the geometric sequence where a1 = 3 and r = √2 find a9

Zigmanuir [339]

Answer:

$a_9=48$

Step-by-step explanation:

we are given

sequence is geometric

so, we can use nth term formula

$a_n=a_1(r)^{n-1}$

we have

$a_1=3$

$r=\sqrt{2}$

we have to find a9

so, we can plug n=9

we get

$a_9=3(\sqrt{2})^{9-1}$

$a_9=2^4\cdot \:3$

$a_9=48$

8 0

3 years ago

Solve x 2 + 8x + 7 = 0 {-1,-7) {1,7) 00

IgorLugansk [536]

X^2 + 8x + 7= 0
(X+7)(X+1)
X=-1,-7

3 0

3 years ago

A study has indicated that the sample size necessary to estimate the average electricity use by residential customers of a large

Zanzabum

Answer:

$\sigma=547.1125$

Step-by-step explanation:

-The margin of error is calculated using the formula:

$ME=z_{\alpha/2}\times \frac{\sigma}{\sqrt{n}}\\\\$

-We substitute the values, n=900 and ME=30 in the formula to solve for standard deviation:

$ME=z_{\alpha/2}\times \frac{\sigma}{\sqrt{n}}\\\\\\30=1.645\times\frac{\sigma}{\sqrt{900}}\\\\\sigma=\frac{30^2}{1.645}\\\\=547.1125$

Hence, the population standard deviation is 547.1125

7 0

4 years ago