Answer:
21. C, 24.B
Step-by-step explanation:
Since the y-value for x = 0 is not zero, the function cannot have sine in it because sin of 0 is always 0. Therefore, the function will have cos in it. That leaves only B and C left. Since cos(0) is always 1, and the value of y when x = 0 is 0.5, the function will have 1/2 multiplied by a cos function. The only answer option that has that is C.
Now, for the next problem, we know the values of all three sides, and we need to find one angle. We can use the law of cosines for this and plug the values into the equation:

We can subtract 40 squared plus 24 squared from both sides to get

Negative two times 40 times 24 equals -1920. Dividing -1920 from both sides gets us

Plugging this equation into a calculator and solving for C, we get the answer as approximately
C = 116.24353.
This rounds to 116.2
Answer:
The probability of the customer selecting both items is 0.04.
Step-by-step explanation:
The complete question is:
The probability that a customer selects a pizza with mushrooms or pepperoni is 0.45, and the probability that the customer selects only mushrooms is 0.32. If the probability that he or she selects only pepperoni is 0.17, find the probability of the customer selecting both items.
Solution:
The information provided is as follows:
P (M) = 0.32
P (P) = 0.17
P (M ∪ P) = 0.45
Compute the probability of the customer selecting both items as follows:

Thus, the probability of the customer selecting both items is 0.04.
Answer:
3/8
Step-by-step explanation:
Step 1: Find common denominators
1/2 = 4/8
2/4 = 4/8
Step 2: Evaluate
4/8 + 4/8 - 5/8
8/8 - 5/8
3/8
Alternatively, you can just plug this into a calc to evaluate and get your answer.
The point of intersection is the midpoint of the diagonal. The diagonals of a rectangle are the same length. These relationships tell you
2*AE = DB
2*(4x-12) = 7x-18 . . . . . substitute the given information
8x -24 = 7x -18 . . . . . . .eliminate parentheses
x - 24 = -18 . . . . . . . . . .subtract 7x
x = 6 . . . . . . . . . . . . . . . add 24
The value of x is 6.
-20- -10=-10
l10l
I hope it’s correct