All categories

2 years ago

The length of a rectangle is 4 more than its width. The area of the rectangle is 21m2 . What is the measure of the width?

Mathematics

1 answer:

nadezda [96]2 years ago

7 0

The width is 3m because 3*7 is 21m^2. Also they said the length is 4 more than the width (3+4=7)

You might be interested in

BRAINLIESTTT ASAP! PLEASE HELP ME :)

bonufazy [111]

Step-by-step explanation:

$sin(360 \degree - \theta) \\ = sin \: 360 \degree \: cos \: \theta - cos \: 360 \degree \: sin \: \theta \\ = 0 \times \: cos \: \theta - 1 \times sin \: \theta \\ = 0 - sin \: \theta \\ = - sin \: \theta \\ \red{ \boxed{\bold{ \therefore \: sin(360 \degree - \theta) = - sin \: \theta}}}\\$

7 0

2 years ago

Read 2 more answers

Solve the equation n/10 + 5 =9. The solution is (Type the value of n.)

natita [175]

Answer:

Step-by-step explanation:

n/10+5=9

n/10=9-5

n/10=4

n=4*10

n=40

3 0

2 years ago

6.Suppose the Gallup Organization wants to estimate the population proportion of those who think there should be a law that woul

drek231 [11]

Answer:

A sample of $n = (\frac{1.96\sqrt{0.3696*0.6304}}{E})^2$ is needed, in which E is the desired margin of error, as a proportion. If we find a decimal value, we round up to the next whole number.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence level of $1-\alpha$ , we have the following confidence interval of proportions.

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which

z is the zscore that has a pvalue of $1 - \frac{\alpha}{2}$ .

The margin of error is of:

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

In a previous study of 1012 randomly chosen respondents, 374 said that there should be such a law.

This means that $n = 1012, \pi = \frac{374}{1012} = 0.3696$

95% confidence level

So $\alpha = 0.05$ , z is the value of Z that has a pvalue of $1 - \frac{0.05}{2} = 0.975$ , so $Z = 1.96$ .

How large a sample size is needed to be 95% confident with a margin of error of E?

A sample size of n is needed, and n is found when M = E.

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

$E = 1.96\sqrt{\frac{0.3696*0.6304}{n}}$

$E\sqrt{n} = 1.96\sqrt{0.3696*0.6304}$

$\sqrt{n} = \frac{1.96\sqrt{0.3696*0.6304}}{E}$

$(\sqrt{n})^2 = (\frac{1.96\sqrt{0.3696*0.6304}}{E})^2$

$n = (\frac{1.96\sqrt{0.3696*0.6304}}{E})^2$

A sample of $n = (\frac{1.96\sqrt{0.3696*0.6304}}{E})^2$ is needed, in which E is the desired margin of error, as a proportion. If we find a decimal value, we round up to the next whole number.

4 0

2 years ago

Express sin110 as ratio of acute angle

lesya [120]

Answer:

sin70°

Step-by-step explanation:

Given sin110° where 110° is an obtuse angle in the second quadrant.

The related acute angle in the first quadrant is 180° - 110° = 70°

Thus

sin110° = sin70°

8 0

2 years ago

Find x in the given figure if m∠AOC = 124°.

Nastasia [14]

Answer:

A) 8

Step-by-step explanation:

Add angles AOB and BOC to get angle AOC.

Since we know the value of AOC is 124 and AOB+BOC=AO

Then (8x+25)+(6x-13)=124.

Combine like terms to get 14x+12= 124.

Solve for x by subtracting 12 from 124, then divide the answer by 14.

3 0

3 years ago