13) what is the correct way to write 75 in standard form? a) 16807 b) 35 c) 49 d) 2401

Hey!

Solution:

Write as expanded form.

7^5 = 7 x 7 x 7 x 7 x 7

Solve.

7 x 7 x 7 x 7 x 7 = 16,807

A) 16,807

Hope This Helped! Good Luck!

A) 16807

Step-by-step explanation:

To find 7^5 in standard form, first, put it in expanded form.

7^5 = 7 * 7 * 7 * 7 * 7

7 * 7 = 49

49 * 7 = 343

343 * 7 = 2401

2401 * 7 = 16807

So, our answer is 16807

A) 16807

(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

2

step-by-step explanation: