Estimate 3.49x 7.508 by first rounding each number to the nearest whole number. give your estimate as a whole number.

24

Step-by-step explanation:

3.49 to the nearest whole number is 3

7.508 to the nearest whole number is 8

Multiplying both will yield 3 * 8 = 24

Although it might be mistaken that 3.49 could be approximated to 4, this is absolutely wrong. This is because we round up all values 5 and above after the decimal to 1 while we round down all values less than 5 after the decimal to 0.

Hence be it 3.4999, since it is less than 5, it is rounded as 3 to the nearest whole number digit

(b) 240

step-by-step explanation:

first, we use the pythagorean formula using the given side lengths to find x. then we use x to find the side lengths. then we add the side lengths to find the perimeter.

pythagorean theorem formula:

a^2 + b^2 = c^2

(x - 20)^2 + (x - 40)^2 = x^2

x^2 - 40x + 400 + x^2 - 80x + 1600 = x^2

x^2 -120x + 2000 = 0

(x - 100)(x - 20) = 0

x - 100 = 0 or x - 20 = 0

x = 100 or x = 20

we see that the solution x = 20 must be discarded because it will give a negative side length and a side length of 0. the only valid solution is x = 100.

perimeter = sum of the lengths of the sides

perimeter = x + x - 20 + x - 40

perimeter = 3x - 60

replace x with 100.

perimeter = 3(100) - 60

perimeter = 300 - 60

perimeter = 240