The hypotenuse of a right triangle is 30 inches. With one of the sides being 18 inches. Find the missing side length. Round to the nearest hundredth if necessary

24 inches

Step-by-step explanation:

We can find different sides of a right angle triangle using Pythagorean theorem: , where is the hypotenuse and and are the other sides.

Therefore, we can re-arrange the equation for one of the other sides.

.

Since we know these two sides all we have to do is put them into the equation:

Therefore, the missing side is 24 inches.

arithmetic sequence

step-by-step explanation:

given that a sequence has terms as

19, 15, 11,

this is represented on a graph

the pattern indicates that the sequence is an arithmetic sequence with i term

a=19 and common difference d =-4

any general term

thus the sequence is reduced by 4 for each successive term starting from 1 and nth term is

24-5n.

first negative term would start after 5th term

5th term =24-25< 0

from 5th term onwards the sequence would be negative.