Answer:
101
Step-by-step explanation:
The theorem to use this is the intercepted arc theorem, which tells us that if we take 2 points on the circumference of a circle and create an angle in the opposite side of the circumference, that angle is HALF that of the ARC intercepted.
If we look at 100 degree angle, we see the ARC intercepted is 99 degree and a degrees. According to theorem, we can say:
99 + a = 2(100)
99 + a = 200
a = 200 - 99
a = 101
1st. is definitely 150.
2nd. is a i think
3rd. is 100
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,
9514 1404 393
Answer:
g(x) = 7x -1
Step-by-step explanation:
The y-coordinate of a function tells how many units the function value lies above the x-axis. Translating that value down 4 units is the same as subtracting 4 from the function value.
g(x) = f(x) -4
g(x) = 7x +3 -4
g(x) = 7x -1
