Which equation can be used to find the unknown length, b, in this triangle?
5 in.
4
in
ooo
42+62 - 52
42-d2 = 52
0 5² +4² = 2²
0 52+ b² = 4²

The first and third options are valid.

Step-by-step explanation:

If two of the three sides of a right triangle are 5 inches and 4 inches, then we have to select the equation from options that can be used to find the unknown length b, in the triangle.

The first equation 4² + b² = 5² can be the possible equation.

The second equation 4² - b² = 5², ⇒ 4² = b² + 5² can not be the equation as 4 being the hypotenuse should be the largest side but 4 < 5.

The third equation 5² + 4² = b² can be the possible equation.

The fourth equation 5² + b² = 4²  is similar to the second equation. So, it is not possible.

Therefore, the first and third options are valid. (Answer)

rectangle: 9 1/8 x 4 1/9 = 37 37/72in

parallelogram: b times h= 10.3 x 6.2 = 63.86

trapezoid: a+b/2 times h= 42.5

volume of prism: l times w times h= 36

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.