You work x hours. you get 20 dollars per hour. this is a random situation, because u didn't give us choices.
Answer:
2x + .8 = 58.9
His number, x, is 29.05
Step-by-step explanation:
2x + .8 = 58.9
2x = 58.1
x = 29.05
Tan=sin/cos
So sin a= 7
Cos a= 24
Answer:
9 cm
Step-by-step explanation:
Since the container is a cylinder of base diameter d₁ = 12 cm and thus radius r = 12/2 = 6 cm. The water height is 8 cm. The initial volume of water is thus V₁ = πr²h = π × 6² × 8 = 288π cm³.
The sphere of diameter d = 6 cm has radius r₁ = 6/2 = 3 cm. Its volume V₂ = 4πr³/3 = 4π × 3³/3 = 36π cm³
Since the sphere displaces it own volume of liquid, the new volume V = V₁ + V₂ = 288π cm³ + 36π cm³ = 324π cm³
This is the new volume of water in the cylinder. Since the water level rises by h' cm and V = πr²h'
h' = V/πr²
= 324π cm³/π(6)²
= 324π cm³/36π cm²
= 9 cm
So, the water level is 9 cm above the base
Filipe can choose his favorite from 4 bands, so he has 4 ways to determine the favorite.
Then only 3 bands left and he can choose his second favorite in 3 ways. After selecting second favorite, only 2 bands left and there are 2 ways to select the third favorite.
Use the product rule to count all possible votes:
4·3·2=24 ways.
Answer: 24.
