If a car factory checks 360 cars and 8 have defects, how many will have defects out of 1260?

We can expect  28  defected cars.

Step-by-step explanation:

Let us assume that the defected cars are  "uniformly distributed"  in the total set of cars.

Then we can write the proportion  8%2F360 = x%2F1260  for the unknown amount  x  of defected cars among  1260  cars.

Solving the proportion for  x  you get

x = 8%2A1260%2F360 = 8%2A3.5 = 28.

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).

true

explanation: