Answer:
67°
Step-by-step explanation:
● cos<PQR = adjacent/hypotenus
● cos<PQR = 5/13
● cos< PQR = 0.384
Using a calculator:
● cos^-1(0.384) = 67°
● <PQR = 67°
Answer:
The height is 20
The max profit is 1600
Step-by-step explanation:
P (h) = -4h^2 + 160h
The vertex is at
-b/2a = -160/2(-4) = 160/8 = 20
The height that will give the maximum profit is 20
We want to find the value at 20
P(40) =-4(20)^2 +160(20)
=-1600+3200
1600
So first, we want to find the total decrease on the number.
Since it was first decreased by 50% and then 10%, we can just multiply the two together to find what 10% of 50% is. I find it easier when they're both fractions, or 1/2 and 1/10.
1/2 * 1/10 = 1/20
So one quarter is 1/4, or 5/20.
1/20 is 4/20 less then 5/20.
1/20 is 30 less then 1/4, then 4/20 must equal 30.
4/20 is also 1/5.
So just multiply 30 by 5, to get 150 as your number. (1/5 * 5 = 5/5)
Hi there Summer 112!
2.5 divided by 4.75 is 0.526315789473684. Hope this helps!
Answer:
4/663
Step-by-step explanation:
(4/52)×(4/51)
= 4/663
= 0.00603