Deck 19: Powers, Roots, and the Pythagorean Theorem

Question 1

The area of a circle is approximately equal to 0.7854 x D², where D represents the length of the diameter of the circle. What is the area in square units of a circle whose diameter is 1.15 units expresssed to the nearest hundredth.

Answer 1

1.04 square units

Question 2

Raise the number to the indicated power: 5⁵ =

Answer 2

3,125

Question 3

Raise the number to the indicated power: =

Answer 3

125/343

Question 4

Find the root of the following number. Round answer to the nearest hundredth as necessary.

Question 5

Find the length B , rounded to the nearest hundredth of this gusset plate if A = 9 and C = 12 .

Question 6

One of the most common applications of powers and roots in drafting is the Pythagorean Theorem, which applies to all triangles.

Question 7

Find the root of the following number. Round answer to the nearest hundredth as necessary.

Question 8

Find the root of the following number. Round answer to the nearest hundredth as necessary. .

Question 9

Raise the number to the indicated power: 0.05³ =

Question 10

To find a root other than a square root of a number, a small number called the index is written above the radical sign.