Answer:
66
Step-by-step explanation:
Since it's a 90 degree angle.
90-24=66
Answer:
Step-by-step explanation:
You already know the area, so just reverse the steps. Example: 200ft divided by the length which is 16ft equals 12.5 feet
Answer:
See the verification below.
Step-by-step explanation:
Starting expression: 
Extract from the expression on the left of the equal sign the common factor "sin(x)":
![sin^3(x)+sin(x)\,cos^2(x)=sin(x)\\sin(x)[sin^2(x)+cos^2(x)]=sin(x)](https://tex.z-dn.net/?f=sin%5E3%28x%29%2Bsin%28x%29%5C%2Ccos%5E2%28x%29%3Dsin%28x%29%5C%5Csin%28x%29%5Bsin%5E2%28x%29%2Bcos%5E2%28x%29%5D%3Dsin%28x%29)
Now use the Pythagorean trigonometric identity:
to replace the expression in between square brackets with "1":
![sin(x)[sin^2(x)+cos^2(x)]=sin(x)\\sin(x) \,[1]=sin(x)\\sin(x)=sin(x)](https://tex.z-dn.net/?f=sin%28x%29%5Bsin%5E2%28x%29%2Bcos%5E2%28x%29%5D%3Dsin%28x%29%5C%5Csin%28x%29%20%5C%2C%5B1%5D%3Dsin%28x%29%5C%5Csin%28x%29%3Dsin%28x%29)
Therefore we have verified the identity
Answer:
4 parrots
3 cages
Step-by-step explanation:
Bryan has one more parrot than cages and one more cage than half the number of parrots. The following system of equations can be modeled for the number of parrots (P) and cages (C):

Solving the linear system:

Bryan has 4 parrots and 3 cages.
Answer:
New cars sold = 20,
Used cars sold = 25
Cars serviced = 290
Step-by-step explanation:
In a month they sold fifteen less used cars than twice the number of new cars.
Lets say 'x' number of new cars were sold, then:
The number of used car sold is:

In the same month they serviced fifty more than twelve times the number of new cars sold. So the number of cars serviced is:

Altogether they sold or serviced 335 cars, so the sum of all the cars sold and serviced should be 335:

Solving for 'x' we get:




Therefore, the number of new cars sold in that month is 20.
Number of used car sold 
Number of cars serviced 
We can also cross check by summing them up:
