Answer:
125/s
Step-by-step explanation:
5^3 = 5 x 5 x 5 = 25 x 5 = 125
Find the quotient of the result and s
125 ÷ s
= 125/s
Hope this helps :)
In
,
$a$ is the real part
$ib$ is the imaginary part.
Comparing, we get:
Real part: $91$
Imaginary part: $-27i$
Answer:
10 1/3
Step-by-step explanation:
Convert mixed numbers into improper fractions (whole number × denominator + numerator)
25 2/3 and 15 1/3
25 × 3 + 2 = 75 + 2 = 77
Put the number over the same denominator
77/3
15 × 3 + 1 = 45 + 1 = 46
Put the number over the same denominator
46/3
77/3 - 46/3
They have common denominators so we can simply subtract the numerator values
77 - 46/3
31/3
To convert it back to a whole number, find how many times 3 fits into 31 evenly
It fits 10 times evenly with 1 remainding which looks like:
10 1/3
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:
C
Step-by-step explanation:
The number line does not end at -2 and the solution should exclude 3 as it is a hollow circle instead of a filled one.