Answer:
In fig. 9, angle Y = angle 110° (vertically opposite angles )
Angle x = angle z = 180 - 110 = 70° (angles on a straight line)
In fig 10, angle y = 78°
Angle x = angle z = 180-78 = 102°
In fig 11, angle x = 83°
Angle y = angle z = 180-83 = 97°
In fig 12, angle y = 37°
Angle x = angle z = 180-37 = 143°
The center-radius form of the circle equationis in the format (x – h)2<span> + (y – k)</span>2<span> = r</span>2<span>, with the center being at the point (h, k) and the radius being "r". Therefore the radius of the circle with the given equation would be </span>√9 or 3, first option. Hope this answers the question.
Answer:
8(2m+5)
Step-by-step explanation:
GCF: 8
Factor 8 out of 16 and 40 giving you 2 and 5
DON'T FORGET TO CARRY THE M
Answer:
s = 4.579 mm
Step-by-step explanation:
The volume of a cube is side * side * side. We know the volume, so plug it in to find side length.
V = s^3
96 = s^3
<u>s = 4.579 mm</u>
Answer:
A. 162
B. 128
Step-by-step explanation:
We have wooden cubes of 2 in of side.
A. If the box is 18 x 12 x 6 in., in the base (18 x 12), we can fit 54 cubes:

As the height is 6 in, we can fit 6/2=3 layers of 54 cubes in the box, se we can fit 162 cubes:

B. If we have a box with measures 16 x 9 x 9 in., and the base is 16x9 in, we can fit (16/2)*(9/2)=8*4=32 cubes per layer.
Note that in the 9 in side we can only put 4, as we need 10 in to fit 5 cubes (we can not cut them).
In the same way, as we have 9 in of height, we can fit 4 layers of 32 cubes, so this is a total of 128 cubes:
