A=16.7
B=17
C=23
D=7

17

Step-by-step explanation:

In this problem, you can use the Pythagorean Theorem to find the hypotenuse, which is x. The formula for the Pythagorean Theorem is:  , where a and b are the two lengths of the triangle, and c is the hypotenuse (which is x).

Steps:

-We know the two sides already, which are 15 and 8, so we can substitute a and b into the equation:    (the c is the same as x, just letting you know)

-Then, simplify the equation to get:   (I replaced c with x just so you can understand better that we are trying to find x, the hypotenuse)

-Add the 225 and 64 to get:  

-Find the square root of both sides to get x by itself:  

-Evaluate the equation to get:   which simplifies to

17

Hope you understand and that this helps with your question! :)

c

step-by-step explanation:

d. $180

step-by-step explanation:

if the dimensions of the room is 9ft by 12 ft, we have the area of the floor as,

so the area of the floor is 108 square feet, converting that into square yards we get,

the cost of carpet is $15 per square yard, therefore the cost of carpet for 12 square yards is,

hence, the cost of carpet is $180.

assuming the dimensions of the room be,

15 ft by 12 ft

so, the area of the floor of that room is,

we can convert 180 square feet into square yards, we know that,

1 sq ft = 0.111 sq yard

so, 180 square feet is,

so the area of floor is 20 square yards.

now, the cost of carpet is 15 dollars per square yard, therefore the cost of carpet for 20 square yards is,

so, it will cost $300.