Answer:
A
Step-by-step explanation:
Check the solution by substituting x =
into the left side of the equation
2sin²x - sinx - 1
= 2sin²(
) - sin (
) - 1
= 2(1)² - 1 - 1
= 2 - 1 - 1
= 0
= right side
is therefore a solution to the equation
Speed is 231 ft/s.
Distance is 4620 ft.
Solution:
First we have to convert the unit of speed from m/s to ft/ s.
Then for 20 seconds, we have to calculate the feet covered by the parachute.

In 20 seconds, the parachute covers the distance of,

The first thing we must do for this case is to define variables.
We have then:
x: number of cats
y: number of dogs
We write the system of equations:
x / y = 2/3
(1/4) x + (1/2) y = 48
Solving the system we have:
x = 48
y = 72
The total number of animals is:
x + y = 48 + 72 = 120
Answer:
The total number of animals in the pet store is:
120