Given:
Diameter of outer circle = 20 inches.

We need to find the Area of the outer circle to get the radius of the inner circle.

Area = πr²

Outer circle Area = 3.14 * (10in)² = 314 in²

314 in² * 64% probability = 200.96 in² Area of the inner circle.

200.96 in² = 3.14 * r²
200.96 in² / 3.14 = r²
64 in² = r²
√64 in² = √r²
8 in = r

radius of inner circle is 8 inches.

3 0

3 years ago

Solve the quadratic equation below for the exact values of x:<br> 4x^2-5=75

grandymaker [24]

Step-by-step explanation:

$4 {x}^{2} - 5 = 75 \\ 4 {x}^{2} = 75 + 5 \\ 4 {x}^{2} = 80 \\ {x}^{2} = \frac{80}{4} \\ {x}^{2} = 20 \\ x = \pm \sqrt{20} \\ x = \pm 2 \sqrt{5}$

6 0

3 years ago

Amirah volunteers at the recycling center every weekend. Last weekend, she helped sort 263 pounds of cans and bottles 668 pounds

Evgesh-ka [11]

Answer:

The total amount of recyclables sorted by Amirah is 931 pounds.

Step-by-step explanation:

Amount of cans and bottles sorted = 263 pounds

Amount of paper sorted = 668 pounds

So, the total amount of recyclables sorted

= amount of cans and bottle sorted + amount of paper sorted

= 263 pounds + 668 pounds

= 931 pounds

Hence, the total amount of recyclables sorted is 931 pounds.

3 0

3 years ago