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Mazyrski [523]
3 years ago
7

The perimeter of a rectangle is 58.8 km, and its diagonal length is 21 km. Find its length and width

Mathematics
2 answers:
Oliga [24]3 years ago
5 0
Length: 16.8 or 12.6
Diagonal 21
Dima020 [189]3 years ago
5 0

Sides x and y

2x + 2y = 58.8

x + y = 29.4

y = 29.4 - x

x² + y² = 21²

x² + (29.4 - x)² = 21²

100x² - (294 - 10x)² = 210²

200x² - 2(2940)x + 294² - 210² = 0

200x² - 2(2940)x + (294-210)(294+210) = 0

200x² - 2(2940)x + (84)(504) = 0

Common factor of 8,

25x² - 735 x + (21)(252) = 0

(5 x - 63) (5 x - 84) = 0

x = 63/5 or x = 84/5

x = 12.6 or x = 16.8

The problem is symmetrical so when one of these is the length the other is the width.

Answer: 12.6 km by 16.8 km

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djverab [1.8K]

Type I error is:

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Type II error is:

"Fail to reject the claim that the proportion of people who write with their left hand is 0.29 when the proportion is actually different from 0.29 "

<u>What is proportion?</u>

An equation in which two ratios are made equal is called a proportion. For instance, you could write the ratio as 1: 3 (for every one boy, there are three girls), which means that 14 of the population is made up of boys and 34 of the population is made up of girls.

In Statistics, a  type I error is the rejection of a true null hypothesis

and  a type II error is the non-rejection of a false null hypothesis

Given that p = 0.29 is accepted

Now type I error is

C. Reject the claim that the proportion of people who write with their left hand is 0.29 when the proportion is actually 0.29

i.e. (false positive)

and type II error here is

B. Fail to reject the claim that the proportion of people who write with their left hand is 0.29 when the proportion is actually different from 0.29.

To learn more about the proportion from the given link

brainly.com/question/19994681

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3 0
9 months ago
The Perfect square numbers between 100 and 200 are ____<br> Pls help.
svetlana [45]

Step-by-step explanation:

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melomori [17]
<u><em>Answer:</em></u>
c = 4

<u><em>Explanation:</em></u>
The number of solutions for any equation is equal to the degree of the equation.

The given equation is a second degree equation which means that it has two solutions.

The only possible way for it to have one unique real solution is that the two <u>solutions are equal</u>

<u>This means that:</u>
x - 4 = x - c
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Hope this helps :)
6 0
3 years ago
Read 2 more answers
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