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3 years ago

Please answer I’ll make brainliest. I have other questions too that I’ll be posting shortly

Mathematics

1 answer:

liraira [26]3 years ago

8 0

Answer:

13.3 (rounded in the tenth place)

Step-by-step explanation:

equation: a^2 + b^2 = c^2

What we know :

a = 20^2 = 400

b = what we are looking for

c = 24^2 = 576

Our equation will be looking like :

20^2 + b^2 = 24^2

400 + b^2 = 576

Now we subtract 400 into 576

which equals 176 now we square root it

and get 13.2664 but we gotta square root it and that will lead you to have 13.3 as your answer

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A home owner wants to purchase two different chairs for the living room, one for in front of the fire place and one for in front

Ipatiy [6.2K]

Using the combination formula, it is found that photos of 9 different chairs were shown to the home owner.

The order in which the chairs are chosen is important, hence, the <em>permutation formula </em>is used to solve this question.

<h3>What is the permutation formula?</h3>

$P_{n,x}$ is the number of different permutations of x objects from a set of n elements, given by:

$P_{n,x} = \frac{n!}{(n-x)!}$

In this problem, two chairs are chosen from a set of n, and there are 72 different outcomes, hence:

$P_{n,x} = 72, x = 2$

$P_{n,x} = \frac{n!}{(n-x)!}$

$72 = \frac{n!}{(n-2)!}$

$72 = \frac{n(n - 1)(n - 2)!}{(n-2)!}$

$n^2 - n = 72$

$n^2 - n - 72 = 0$

Which is a quadratic function with coefficients $a = 1, b = -1, c = -72$ , hence:

$\Delta = b^2 - 4ac = (-1)^2 - 4(1)(-72) = 289$

Taking the positive root:

$x_1 = \frac{-b + \sqrt{\Delta}}{2a} = \frac{1 + \sqrt{289}}{2} = 9$

Photos of 9 different chairs were shown to the home owner.

You can learn more about the permutation formula at brainly.com/question/25925367

3 0

2 years ago

-3x+4y=12 and 1/4x - 1/3y =1

zavuch27 [327]

Answer:

Step-by-step explanation:

-3x + 4y = 12

12(1/4x - 1/3y = 1)

-3x + 4y = 12

3x - 4y = 12

there is no solution

5 0

3 years ago

You can buy 5 cans of green beans at the village market for $3.00. You can buy 10 of the same cans of beans at sam's club for $5

iris [78.8K]

Answer:

Sams club.

Village market is 5 cans for $3.00 multiply this by 2 which would be 10 cans for $6.00

Sams club is $5.90 for 10 cans. Which would be 10 cents better then the village market.

5 0

3 years ago

Read 2 more answers

Solve for x & explain work?<br> 3/4 (2x+5)=5(x+12)

koban [17]

3/4(2x + 5) = 5(x + 12)

First get rid of any fractions by multiplying my the denominator

4 x 3/4(2x + 5) = 4 x 5(x + 12)

3(2x + 5) = 20(x + 12)

Then get rid of the parentheses

6x + 15 = 20x +240

Then simplify

6x + 15 - 15 = 20x + 240 - 15

6x = 20x + 225

6x - 20x = 20x - 20x + 225

-14x = 225

Now divide on both sides

-14x/-14 = 225/-14

x = -16

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3 years ago

jessie estimates the weight of her cat to be 10 pounds. The actual weight of the cat is 13.75 pounds. find the percent error.

bulgar [2K]

Percent error = \frac{measured - actual}{actual} x 100%

The percent error would be 27.27%

8 0

3 years ago