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2 years ago

What is the length of the diagonal of the square shown below?

Mathematics

1 answer:

amid [387]2 years ago

5 0

Answer:

$7\sqrt{2}$

Step-by-step explanation:

Given is a picture of a square with each side = 7 units

Since a square is right angled we have the diagonal bisecting the square into two isosceles right triangles.

Use Pythagorean theorem to get the diagonal length.

Hence diagonal = $\sqrt{7^2+7^2} =7\sqrt{2}$

Alternate method:

Find the length of the diagonal of a square, multiply the length of one side by the square root of 2: If the length of one side is x, then diagonal will have length as

$x\sqrt{2}$

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Write the equation of a line that goes through the points (-2, -5) and (3, -10)

AlekseyPX

The equation for slope between two points is (y1-y2)/x1-x2
Plug the points into the equation

-5-(-10)/-2-3
5/5
m=1
To find the equation, use y-y1=m(x-x1)
y-(-5)=1(x-(-2))
y+5=x+2
y=x+2-5
y=x-3

7 0

2 years ago

suppose a consumer advocacy group would like to conduct a survey to find the proportion p of consumers who bought the newest gen

Zepler [3.9K]

The size of the sample they should take to estimate p with a 2% margin of error and 90% confidence is n = 1691.

In statistics, the margin of error is just the degree of a significant error in the outcomes of random sample surveys.

The formula of margin error is, E = z√((p-vector)(1 - (p-vector)) ÷ n)

E = 2% = 0.02

Confidence level = 90%

Now, the proportion is not given so adopt nominal (p-vector) = 0.05

The critical value at CL of 90% is 1.645.

Thus, making n the subject,

n = z²(((p-vector) × (1 - (p-vector))) ÷ E²)

n = 1.645²((0.5 × 0.5) ÷ 0.02²)

n = 1691.266

n ≈ 1691

Read more about the margin of error at

brainly.com/question/16141482?referrer=searchResults

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4 0

4 months ago

Which of the following represents the zeros of f(x) = x3 − 3x2 − 2x + 6?

Mrac [35]

D. {3, √ 2, -√ 2}.
The cubic factors- (x - 3)(x² - 2) = 0.

6 0

2 years ago

Read 2 more answers

Rena spent 6 days reading her book completing the same fraction of the book each day if she had a total of 8/9 of her book after

Artyom0805 [142]

Answer:

The fraction of the book that Rena read every day is $\frac{4}{27}$

Step-by-step explanation:

Rena spent 6 days reading her book completing the same fraction of the book every day and you want to know the fraction of the book she read each day. Knowing that Rena had a total of 8/9 of her book read after 6 days, then you simply divide the total amount of the book read during those days by 6, the number of days:

$\frac{8}{9}$ ÷6

To divide a fraction by a whole number, you must convert the whole number into a fraction, finding the reciprocal of that fraction, and multiply it by the first fraction. That is, you must find the reciprocal of the number that is after the division symbol; and then you multiply the first number (the one before the division symbol) by the reciprocal of the second number (the one after the division symbol). Remember that to find the reciprocal of a number, you simply have to change the numerator and denominator of the number.

Since 6 can be considered to be a fraction equal to $\frac{6}{1}$ , by inverting the number, then you get $\frac{1}{6}$