A student needs to make a circular cardboard piece with an area between 154 square inches and 616 square inches. The function f(
r) relates the area of the cardboard piece, in square inches, to the radius r in inches. Which of the following shows a reasonable domain for f(r)? A) 7 < r < 14
B)154 < r < 616
C) all positive integers less than 7
D) all positive integers between 14 and 154
Question 35 (Multiple Choice Worth 1 points)
(04.02)
An expression is shown below:
square root of 18 plus square root of 2
Which statement is true about the expression?
A) It is rational and equal to 3.
B)It is rational and equal to 4.
C)It is irrational and equal to 3 multiplied by the square root of 2.
D) It is irrational and equal to 4 multiplied by the square root of 2.
Given: circular cardboard with an area between 154 in² and 616 in²
Area of a circle = πr² 154 in² = 3.14 * r² 616 in² = 3.14 * r² 154 in² / 3.14 = r² 616 in² / 3.14 = r² 49 in² = r² 196 in² = r² √49 in² = √r² √196 in² = √r² 7 = r 14 in = r
Radius is between 7 inches and 14 inches. ⇒ <span>A) 7 < r < 14
</span>√18 + √2 = √9 *2 + √2 = 3√2 + √2 = (3+1) √2 = <span>4√2 </span> <span>D) It is irrational and equal to 4 multiplied by the square root of 2.</span>
