Answer:
18
Step-by-step explanation:
x² = 16² + 30² - 2(16)(30)cos 30°
x² = 256 + 900 - 960(0.866)
x² = 1156 - 831.36
x² = 324.64
x = 18.02
Approx. 18
Please mark my answer as brainliest
Answer:
c) -x^3 + x^2 - 1
Step-by-step explanation:
Given: u (x) = x^5 - x^4 +x^2 and v(x) = -x^2
(u/v)(x) = u(x)/v(x)
Now plug in the given functions in the above formula, we get
= (x^5 - x^4 + x^2) / -x^2
We can factorize the numerator.
In x^5 - x^4 + x^2. the common factor is x^2, so we can take it out and write the remaining terms in the parenthesis.
= x^2 (x^3 - x^2 + 1) / - x^2
Now we gave x^2 both in the numerator and in the denominator, we can cancel it out.
(u/v)(x) = (x^3 - x^2 + 1) / -1
When we dividing the numerator by -1, we get
(u/v)(x) = -x^3 + x^2 - 1
Answer: c) -x^3 + x^2 - 1
Hope you will understand the concept.
Thank you.
Answer:
90 customers
Step-by-step explanation:
Total shift time = 2 hours
1 hours = 60 minutes
Total shift time minutes = 2*60 minutes = 120 minutes
Average Time taken to serve 1 customer = 1 minute 20 seconds
lets convert 1 minute 20 seconds in fraction
60 seconds = 1 minute
20 seconds = 20/60 minutes = 1/3 minutes
Thus,
Average Time taken to serve 1 customer = 1 minute + 1/3 minutes = 4/3 minutes
Lets assume she served x customer in her 2 hour shift
total time taken to serve x customer =x*Average Time taken to serve 1 customer = 4x/3 minutes
Given that she the customers for her shift time which is 120 minutes
4x/3 minutes = 120 minutes
x = 120*3/4 = 90
Thus,
Kimiko served 90 customers and this is the number of customer which came through the drive thru during those 2 hours.
Pairs of corresponding angles have the same measure.
Answer:
-25
Step-by-step explanation:
-81=7k+19=3k
7k-3k=-19-81
4k=-100
k=-25