The circumference of the vase is 18.84 inches.
<u>Step-by-step explanation:</u>
The circumference of the cylinder is same as the circumference of its base.
Moreover, the base of the cylinder is actually a circle.
So we need to find the circumference of the circle to find the circumference of the cylinder.
From the given figure, we know that the diameter of the base d= 6 inches.
∴The formula for the circumference of the circle = 2πr or dπ.
⇒ circumference = 6×3.14.
= 18.84.
So the circumference of the circle is 18.84 inches.
∴The circumference of the cylindrical vase is also 18.84 inches.
Answer:
This would be the last option I think, sorry if it's wrong.
Step-by-step explanation:
Answer:
B. They will all be similar
Step-by-step explanation:
You can make as many different size triangles as you like. The angles alone do not constrain the size, only the shape. The triangles you make will all be similar.
Answer:
x = 7
Step-by-step explanation:
Similar figures have sides that are proportional. Setting up a proportion for the sides of the figures will help solve for 'x':

Cross-multiply: 3(x + 1) = 6(x - 3)
Distribute: 3x + 3 = 6x - 18
Combine like terms: 21 = 3x
Solve for 'x': x = 7
Answer: C. 2
Step-by-step explanation:
Slope is calculated by y2-y1 over x2-y1. If we plug the numbers in we will get 6 over 3 as our slope which simplifies to our answer 2.