Answer:
4x^2 + 21x - 18
Step-by-step explanation:
(9x^2+24x-8)-(5x^2+3x+10)
9x^2+24x-8-5x^2-3x-10
9x^2 - 5x^2 = 4x^2
24x - 3x = 21x
-8 - 10 = -18
Answer: 4x^2 + 21x - 18
Answer:
192π unit²
Step-by-step explanation:
Given that :
Radius = 24
Area of circle = πr²
Area = π*24²
Area = 576π in²
The Shaded area is 120°
Entire Circumference = 360°
Hence, shaded area = 120°/ 360° = 1/ 3 of the area
1/3 * 576π in²
= 192π unit²
Answer:

Step-by-step explanation:
3 out of 12 children at the day care center are 5-year-olds. So, the probability of a randomly selected child being a five-year old is
, or
.
Answer:
V ≈ 68.63 cm³
Step-by-step explanation:
the volume (V) of a sphere is calculated as
V =
πr³
the volume of a hemisphere is half the volume of a sphere, so
V =
×
πr³ =
πr³ , then
V =
π × 3.2³
=
π × 32.768
≈ 68.63 cm³ ( to 2 dec. places )