Jose draws abc. AB has a length of 10 inches and BC has a length of 15 inches Determine whether each measurement could be the length of AC choose yes or no for each measurement

The length of AC should be between 5 inches and 25 inches

Step-by-step explanation:

Jose in this problem draws a triangle, ABC.

We know the length of two sides of the triangle:

AB = 10 inches

BC = 15 inches

The length of the third side in a generic triangle can be calculated using the cosine theorem:

where

a, b, c are the three sides

is the angle opposite to side

Looking at the formula, we observe that:

- The maximum value for is obtained for , so that . In this case, the length of the missing side  (AC, in this case) is

- The minimum value for is obtained for , for which , so in this case the length of AC is

So, the length of AC must be between 5 and 25 inches.

$3720

step-by-step explanation:

taxable income = $31000

as per the 2018-2019 us tax bracket, the tax rate is 12% for an individual whose taxable income is between $9,526 to $38,700.

so, the tax to be paid by him = 12% of 31000

= 0.12 * 31000     [12% converted to decimal as 0.12]

= $3720

step-by-step explanation: