Answer:
The sides of the triangles adjacent to the center of dilation will be collinear. The third sides of the pre-
image and image will be “parallel”
The vertex used as the center of dilation will be in “the same location in both triangles”
Answer:
16/15
Step-by-step explanation:
The LCM of 5 and 3 is 15
4/5 + 1/3 = 12 / 15 + 4 / 15 = 16 / 15
Answer:
813.4 cm² (nearest tenth)
Step-by-step explanation:
<u>Volume of a cylinder</u>

Given:
Use the Volume of a Cylinder formula and the given values to find the <u>radius of the cylinder</u>:



<u>Surface Area of a Cylinder</u>

Substitute the given value of h and the found value of r into the formula and solve for SA:




Therefore, the surface area of the cylinder is 813.4 cm² (nearest tenth)
Answer:
14
Step-by-step explanation:
Simplify the following:
5 - 2×9 + 9^2/3
Hint: | Evaluate 9^2.
9^2 = 81:
5 - 2×9 + 81/3
Hint: | Reduce 81/3 to lowest terms. Start by finding the GCD of 81 and 3.
The gcd of 81 and 3 is 3, so 81/3 = (3×27)/(3×1) = 3/3×27 = 27:
5 - 2×9 + 27
Hint: | Multiply -2 and 9 together.
-2×9 = -18:
5 + -18 + 27
Hint: | Evaluate 5 + 27 using long addition.
| 1 |
| 2 | 7
+ | | 5
| 3 | 2:
32 - 18
Hint: | Subtract 18 from 32.
| 2 | 12
| 3 | 2
- | 1 | 8
| 1 | 4:
Answer: 14