The answer is 9. 5.2 • 9= 46.8
The base of the cylinder has area πr² = 36π ≈ 113.10 (assuming the radius is 6, and not the diameter, that's not clear to me).
If you take the paper wrapped around the cilinder, it would be a rectangular piece of height 12 and length equal to the circumference of the cilinder, being 2πr = 12π, so the area would be 12*12π=144π ≈ 452.39.
So in total this is 452.39+113.10 ≈ 565.49, that's answer D.
Answer:
Not a right triangle.
Step-by-step explanation:
If this triangle is a right triangle, then the Pythagorean theorem would work on it. According to the Pythagorean theorem, , so c would always be greater than a or b. In this scenario, the greatest number here is 18, so c = 18. Since a or b don't matter if given both legs, we have the following equation that may or may not be equal: . We know 8 squared is 64, and 11 squared is 121, and 18 squared is 324. This means that according to the Pythagorean theorem, and since 64 + 121 = 185, and 185 does not equal 324, the Pythagorean theorem does not work and the triangle is not a right triangle.
1. False
2. True
3. True
4. True
5. False
Consider the inequality x+y≤50, that is y≤-x+50
we first draw the line y=-x+50, using the x and y intercepts:
(50, 0) and (0, 50). To check which region to color, we pick any point, for example (0, 25). for this point the inequality 25≤-0+50 is true, so we have picked a point in the region that we will color. (we color it with yellow as shown in the picture)
consider <span>x ≥ 20. This inequality represents all vertical lines starting at x=20, and to the right of this line. So we color the region to the right of x=20. (colored with light gray)
The solution of the inequality system is the intersection of both regions, that is the region which is colored with both colors.
Solution: the purple region</span>