is a right triangle with base length 1 and height 8, so the area of
is
.
The average value of
over
is given by the ratio
The denominator is just the area of
, which we already know. The average value is then simplified to
In the
-plane, we can describe the region
as all points
that lie between the lines
and
(the lines which coincide with the triangle's base and hypotenuse, respectively), taking
. So, the integral is given by, and evaluates to,
Answer:
the answer is (-2,2)
Step-by-step explanation:
Answer:
x=k+c over 7
Step-by-step explanation:
7x-c+c=k+c
7x=k+c
divide both sides by 7
If we had AB: BC: CD, we could easily have solved that problem. In order to combine these ratios, we need to have the same number for BC. We can create this number by finding LCM (Least Common Multiple) for 5 and 3, which is 15. Then, we can write ratios of AB:BC = 6:15 and BC:CD=15:20. Now, we can easily combine these ratios. AB:BC:CD = 6:15:20. Then, 6k+15k+20k = 82 and k=2 cm. And BC = 30 cm
Answer:
Step-by-step explanation:
P = $ 500 ;r =8% ; n= 8
A = P* (1+r/100)^n
A= 500 * ( 1 + 8/100)⁸
= 500 * ( 1 + 0.08)⁸ = 500 * 1.08⁸
=500*1.85
= $ 925.45
