Answer:
1
Step-by-step explanation:
10% = 0.10
0.10 * 10 = 1
10% of 10 liters of milk is 1 liter of milk
Answer:
staurant has an all-you-can-eat buffet. They charge $13.95 per person. what is the constant of proportionality?
Step-by-step explanation:
Answer:
Step-by-step explanation:
First we need to set this ratio up in the coordinate plane. Because this is tangent, the 3 goes opposite the reference angle and the 4 goes along the x-axis, adjacent to the reference angle. We see that we are missing the third side of the triangle when we do this, namely the hypotenuse. We use Pythagorean's Theorem to find that this side is 5. Now we have to deal with the identities for each sin(2A) and cos(2A).
sin(2A) = 2sin(A)cos(A)
We know from the triangle we drew in the coordinate plane that
and
so we fill in the formula accordingly and then simplify:

cos(2A) has 3 identities; I just picked the one I thought would be easiest to use and went with that one. Regardless of which one you pick you will get the same answer as long as you do the math correctly.
and filling in the formula:

I'm not sure why you have 7/2 there...
Csc²x - 1
1/sin²x - 1
1/sin²x - sin²x / sin²x
(1 - sin²x) / sin²x
Recall that sin²x + cos²x = 1
So cos²x = 1 - sin²x
So we can replace numerator to cos²x
cos²x / sin²x
= cot²x
Final answer: cot²x
For this case we must solve the following equation:

By definition, for the bases to be equal then the exponents must also be the same. Thus, we have to:

Dividing by 3 to both sides of the equation we have:

Answer:
