The lengths of two sides of a right triangle are 12 inches and 15 inches. what is the difference between the two possible lengths of the third side of the triangle? round your answer to the nearest tenth.

inches

we know that

In a right triangle

Applying the Pythagorean Theorem

where

a and b are the legs of the triangle

c is the hypotenuse of the triangle

Step N

Assume that the third side is a leg

In this case we have

Solve for b

substitute the values

Step N

Assume that the third side is the hypotenuse

In this case we have

substitute the values

Step N

Find the difference of the third sides

therefore

the answer is

the domain of a function is the set of input values, x , for which a function is defined. the domain is shown in the left oval in the picture below. the function provides an output value, f(x) , for each member of the domain.

answer: - (a)

(b) 88 seats

step-by-step explanation:

given: in an auditorium, there are 22 seats in the first row and 28 seats in the second row.

thus first term=

second term=

the number of seats in a row continues to increase by 6 with each additional row.

⇒d= 6

a) given formula :

b)   let the number of seats (n) = 12

substitute n=12 in the explicit rule formed in (a)

∴there are 88 seats in 12 rows.