Answer:
75
Step-by-step explanation:
Since the two angles are on the same side of the parallelogram, they're supplementary.
x + (2x - 45) = 180
3x - 45 = 180
3x = 225
x = 75
Area of a full circle is PI x r^2
Area = 3.14 x 8^2 = 200.96
Area of a sector is area * central angle / full circle
Area = 200.96 x 5PI/3 / 2PI = 160PI/3
Answer is C.
The default coordinate system in the RenderMan(TM) Interface is left-handed: the positive x, y and z axes point right, up and forward, respectively. Positive rotation is clockwise about the axis of rotation.
Step-by-step explanation:
Answer:
10 square units
Step-by-step explanation:
We want to find the area under the curve 
from x=1 to x=3.
We use definite integrals to find this area.
We integrate to obtain:
We evaluate the limits to get:
Therefore the area under the curve from x=1 to x=3 is 10 square unit.
Answer: y = 7- 5x
Step-by Step Explanation: The variable x is multiplied by a larger value here; it's multiplied by 5. So I should expect that my y-values will grow fairly quickly. This means that I should expect a fairly "tall" graph.
First I'll do the T-chart.
T-chart
This equation is an example of a situation in which you will probably want to be particular about the x-values you pick. Because the x is multiplied by a relatively large value, the y-values grow quickly. For instance, you probably wouldn't want to use x = 10 or x = –7 as inputs. You could pick larger x-values if you wished, but your graph would very quickly get awfully tall.
I can see, from my T-chart, that my y-values are getting pretty big on either end (that is, in the positive numbers above the horizontal axis, and in the negative numbers below). I don't want to waste time computing points that will only serve to make my graph ridiculously large, so I'll quit with what I've got so far. But I'm glad I plotted more than just two points, because lines that start edging close to vertical can easily go wrong, if I'm not neat in my work.
Here's my graph:
y = 7 - 5x
