Answer:
6 cups
Step-by-step explanation:
3/9 = 2/w
Cross multiply.
3w = 18
w = 6 cups of water
Answer:
The scale factor of the dilation is 1/5
Step-by-step explanation:
Answer:
It is one-half the area of a rectangle with sides 4 units × 3 units
Step-by-step explanation:
One side of the triangle is on the line y = 2 between points x=2 and x=6. So, that side has length 6-2 = 4.
The opposite vertex has y-value 5, so is 3 units away from the line y = 2.
The area of the triangle can be considered to have a base of 4 and a height of 3. In the formula ...
A = (1/2)bh
we find the area to be ...
A = (1/2)×(4 units)×(3 units) . . . . triangle area
__
A rectangle's area is the product of its length and width. So, a rectangle that is 4 units by 3 units will have an area of ...
A = (4 units)×(3 units) . . . . rectangle area
Comparing the two area formulas, we see that the triangle area is 1/2 the area of the rectangle with sides 4 units × 3 units.
Answer:
1608.5 cm³
Step-by-step explanation:
Use the cylinder volume formula, V =
r²h
If the diameter is 16 cm, then the radius is 8 cm.
Plug in the radius and height into the formula, and solve:
V =
r²h
V =
(8)²(8)
V =
(64)(8)
V = 1608.5
So, to the nearest tenth, the volume of the cylinder is 1608.5 cm³