Select the situation that describes the following expression. A. Rory walks for hours at a museum. He also spent of an hour in the gift store. B. Mia buys yards of fabric. She uses the fabric to make pillows that each require of a yard of fabric. C. Bernard mixes gallons of lemonade. He pours of a gallon in a pitcher and puts the rest in the fridge. D. Carlton has feet of craft paper. He makes a certain number of cards and has of a foot of craft paper left.

it should be

B. Mia buys yards of fabric. She uses the fabric to make pillows that each require of a yard of fabric.

Step-by-step explanation:

something that characterises a right triangle is the fact that we may use pythagoras' theorem to find any one of its sides given that we have the length of the other two sides. here, we have the length of the hypotenuse, √(87) yd, and one other side, √(23) yd, thus we can easily find the length of the remaining side using pythagoras' theorem as defined below:

c^2 = a^2 + b^2, where c is the length of the hypotenuse, and a and b are the lengths of the other two sides.

thus, given that c = √(87) and a = √(23), we may substitute these into the formula we defined above to get:

c^2 = a^2 + b^2

(√87)^2 = (√23)^2 + b^2 (substitute c = √87 and a = √23 into the equation)

87 = 23 + b^2 (evaluate (√87)^2 = 87 and (√23)^2 = 23 - remember that the square root of a number, squared will equal that very same number)

64 = b^2 (subtract 23 from both sides)

√64 = b (take the square root of both sides)

8 = b (evaluate √64 = 8)

therefor, the length of the unknown leg in the right triangle is 8 yd (first answer).