Answer:
D) cot(C) = 1/2.
Step-by-step explanation:
We can go through each choice and examine is validity.
Choice A)
We have:

Recall that secant is the ratio of the hypotenuse to the adjacent.
With respect to B, the adjacent is 6 and the hypotenuse is 7.
Therefore, sec(B) should be 7/6 instead.
A is incorrect.
Choice B)
We have:

Cotangent is the ratio of the adjacent side to the opposite.
With respect to B, the adjacent side is 6 and the opposite side is 3.
Therefore, cot(B) = 6/3 = 2.
B is incorrect.
Choice C)
C is incorrect for the reasons listed in A.
Choice D)
We have:

Again, cotangent is the ratio of the adjacent side to the opposite.
With respect to C, the adjacent side is 3 and the opposite side is 6.
So, cot(C) = 3/6 = 1/2.
Therefore, D is the correct choice!
Grayson's mistake was that he multiplied 4 and 3 and then used the exponent he had to square 3 and then multiply it by 4.
Emily's mistake was that she added 2 to 36 instead of multiplying it by -2
Pat's mistake was that he forget to make y into -2 instead of 2
The right way to do this is 4(3^2)+2(-2)
(3^2)=9 9×4=36 2(-2)=-4 -4+9=5
Answer:
Step-by-step explanation:
3 and 2/5
(aka A)
Answer: 33 gallons
Step-by-step explanation:
We initially have 130 gallons of a
acid solution and we need to change it to a
acid solution, and for that it is necessary to evaporate
gallons of water.
So, this situation can be mathemtically expressed as follows:

Then:

Isolating
:


Hence, we need to evaporate 33 gallons of water.
Answer:
Popcorn costs: $5.75, and drink costs: $2.25.
Step-by-step explanation: