1. hector knows there is a relationship between the number of cars he washes and the time it takes
him to wash those cars. identify the independent quantity and the dependent quantity in the
problem situation.

The independent variable is the time (variable x)

The dependent variable is the number of cars he washes (variable y)

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form or

In this problem

The relationship between the number of cars he washes and the time it takes  him to wash those cars represent a a proportional variation

Let

y -----> the number of cars he washes

x -----> the time

The linear equation is

The independent variable is the time x

The dependent variable is the number of cars he washes y

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).

mx+89b(-98)nb

step-by-step explanation: