Suppose we let
, so that
.
Also, recall the double angle identity for cosine:

So, we can rewrite and compute the integral using the substitution, as





Answer:
y = 3/2x + 20
Step-by-step explanation:
Use point-slope form. (long to explain, it is correct though).
The equation you'd make would be (2x-2)+(2x-2)+x+x=20 because the length is 2 m less than the width (x). To simplify, it'd be 6x-4=20 because you combine like terms. You then move the -4 over to the 20 to make it 6x=24. The final answer is 4 meters.
5.5hours to drive264 miles
7 hours to drove (264÷5.5)× 7 =....
Answer:
The answer is 18 percent, or 9/50.
Step-by-step explanation:
We first convert the chance of rain on Monday into a fraction.
60%=60/100=3/5.
We then convert the chance of rain on Tuesday into a fraction.
30%=30/100=3/10.
Because the two events are independent(i.e. If it rains on Tuesday doesn't depend on if it rains on Monday) we multiply them together to get the probability they both happen. That chance is:
3/5 * 3/10=(3*3)/(5*10)=9/50(fraction form)=18/100=18%(percent form)