Answer:
278.9 units^3 to the nearest tenth.
Step-by-step explanation:
This is a cylinder on the bottom . resting on the cylinder is a prism.
Volume of the cylinder = π r^2 h where r = 1/2 * 7 = 3.5 and h = 6.
V = π * 3.5^2 * 6 = 230.907 units^3.
Volume of the prism = l*w*h
= 4*4*3 = 48 units^3.
Volume of the composite figure = 230.907 + 48
= 278.9.
-6x + 7 = 8x + A
let x = -4
-6(-4) + 7 = 8(-4) + A
24 + 7 = -32 + A
31 + 32 = -32 + 32 + A
63 = 0 + A
A = 63
Answer:
B. Square
Step-by-step explanation:
When in doubt, it can help to plot the points on a graph.
__
By looking at the coordinate values, you see that the first two points have the same y-coordinate (0) and the other two points have the same y-coordinate (-4). These points are on horizontal lines that are 4 units apart.
Looking at the x-coordinates, you see that one pair of points has x-coordinates 4, and the other pair has x-coordinates 8. That is, these pairs of points are on vertical lines that are 4 units apart.
Vertical and horizontal lines are at right angles to each other. That means the figure must be a rectangle or square. The lengths of the sides are all 4 units, so the figure is a square.
and
. So we have a remainder of

and
. Subtracting this from the previous remainder gives a new remainder

and
. Subtracting this from the previous remainder gives a new one of

and we're done since 2 does not divide
. So we have
