The first question is a and the second is a
Answer:
Option D, the volume is 15.625 cubes
Step-by-step explanation:
For a cube of side length L, the volume is:
V = L^3
for the smaller cubes, we know that each one has a side length of 1 in, then the volume of each small cube is:
v = (1in)^3 = 1 in^3
Then:
1 in^3 is equivalent to one small cube
Here we know that the side length of our cube is (2 + 1/2) in
Then the volume of this cube will be:
V = [ (2 + 1/2) in]^3
To simplify the calculation, we can write:
2 + 1/2 = 4/2 + 1/2 = 5/2
Then:
V = ( 5/2 in)^3 = (5^3)/(2^3) in^3 = 125/8 in^3 = 15.626 in^3
This means that 15.625 small cubes will fill the prism.
So the correct option is D.
Answer:
adjacent, supplementary
Step-by-step explanation:
"Two lines intersecting in a right angle with a square indicating a right angle in quadrant one and a ray splitting quadrant two with a two labeling the left angle and one labeling the angle on the right"
Based on your description, it seems like they are right next to each other and equal 180 (straight line)
Angles directly next to each other = adjacent
Angles that add up to 180 = supplementary
This indicates adjacent and supplementary angles
Answer:
94.2
Step-by-step explanation:
Arc length is basically circumference.
Circumference formula: 2πr
All we need is the radius.
Radius = r
15 x 2 = 30 (diameter)
Then we are going to multiply by pi.
Arc length = 30π OR 94.2
