One triangle on a graph has a vertical side of 7 and a horizontal side of 12.

1 answer:

4 0

If you are working out the diagonal line you need to use Pythagoras Theroum: c² = a²+b²

c² = 7²+12² = 193
√c² = c = √193 = 13.89

The length of the diagonal side is 13.89,
Hope this helps! :)

You might be interested in

A forest contains about 500 trees. You randomly pick 67 trees and find that 27 of them are oaks. What is the experimental probab

Ulleksa [173]

Answer: You have a 12.2 percent chance

Step by step

500 divided by 5 is 100

61 divided by 5 is 12.2

12.2/100

What you do to 500 is what you do to the 61

You have a 12.2 percent chance

Hope this helps

4 0

4 years ago

The weekly incomes of a large group of executives are normally distributed with a mean of $2,000 and a standard deviation of $10

cestrela7 [59]

Let X be the weekly incomes of a large group of executives. The weekly incomes of a large group of executives follows Normal distribution with mean $2000 and standard deviation $100.

μ =2000, σ =100

We have to find z score for income $2100 i.e x=2100

Z = $\frac{x-mean}{standard deviation}$

= $\frac{2100 - 2000}{100}$

Z = 100/100

Z = 1

The z score for income $2100 is 1

6 0

3 years ago

Triangle ABC has side lengths a= 24, b= 40, and c= 55. What is the measure of angle C? 83.6° 116.2° 23.0° 40.7°

Harlamova29_29 [7]

<h3>Answer: 116.2°</h3>

Work Shown:

$c^2 = a^2 + b^2 - 2ab\cos(C)\\\\55^2 = 24^2 + 40^2 - 2*24*40\cos(C)\\\\3025 = 576 + 1600 - 1920\cos(C)\\\\3025 = 2176 - 1920\cos(C)\\\\3025 - 2176 = -1920\cos(C)\\\\849 = -1920\cos(C)\\\\-1920\cos(C) = 849\\\\\cos(C) = (849)/(-1920)\\\\\cos(C) \approx -0.4421875\\\\C \approx \cos^{-1}(-0.4421875)\\\\C \approx 116.243535748231^{\circ}\\\\C \approx 116.2^{\circ}\\\\$