Hey!
The formula of direct variation is y = kx. So we know that p = kr^2
Hint: after it says varies, it's basically the equal sign.
so we can set it up
56 = 4^2k
56=16k
now we want k alone so we have to divide 16 on both sides
k=3.5
We can now solve for p like it asks
p = 3.5*6^2
p=126
There's your answer!
Hope this helps!
Answer:
m = 13
Step-by-step explanation:
Given
m - 5 = 8 ( isolate m by adding 5 to both sides of the equation )
m = 8 + 5 = 13
Answer:
$69.99 or $50.08
Step-by-step explanation:
2 for 1 by dividing by 100: 80/100 =0.8 mulitply price by decimal rate
Recall the double/half angle formulas:
We're given 
, and since 
is between π/2 and π, we expect 
to be negative. So from the Pythagorean identity, we find
Also, we know 
will fall between π/4 and π/2, so both 
and 
will be positive. Then we find
and it follows that
