Using th epythagorean theorem.
52^2-48^2= x^2
2704-2304= x^2
400=x^2
x=20
Final answer: D
Answer:
9c - 13
Step-by-step explanation:
Given
3(c - 7) + 2(3c + 4) ← distribute both parenthesis
= 3c - 21 + 6c + 8 ← collect like terms
= 9c - 13
Answer: Machine A makes popcorn at a rate of 4.25 ozs per minute (12.75oz/3min).
Machine B makes popcorn at a rate of 4.5 ozs per minute (18oz/4min).
Machine A will make 4.25oz/min * 10minutes = 42.5oz of popcorn after 10 minutes
Machine B will make 4.5oz/min * 10 minutes = 45oz of popcorn after 10 minutes
After 10 minutes there will be a total of 42.5oz (Machine A) +45oz (Machine B) = 87.5oz.
So the answer is: Yes there will be (more than) enough popcorn if both machines make popcorn for 10 minutes.
If the question is wondering how many 9oz bags they can fill: 87.5oz/9oz per bag = 9.7222 bags. The machines can fill 9, 9oz, bags with some popcorn leftover.
Step-by-step explanation:
Answer:
b
Step-by-step explanation:
Using the trigonometric identity
sin2x = 2sinxcosx
That is the angle on the right side is half the angle on the left, thus
sinΘ = 2sin(
Θ )cos(
Θ ) → b