Answer:
5. 6.1 units
6. 29.4 units
7. 12.8 units
8. 29.1 units
Step-by-step explanation:
5. We have the opposite and adjacent sides here for angle 21 degrees. So we need to use tangent, which is opposite / adjacent:
≈ 6.1 units
6. We have the opposite and hypotenuse sides here for angle 33 degrees. So we need to use sine, which is opposite / hypotenuse:
≈ 29.4 units
7. We have the opposite and adjacent sides here for angle 37 degrees. So we need to use tangent, which is opposite / adjacent:
≈ 12.8 units
8. We have the opposite and hypotenuse sides here for angle 31 degrees. So we need to use sine, which is opposite / hypotenuse:
≈ 29.1 units
Hope this helps!
The answer is 2,713 in³
The volume (V) of the prop is the sum of the volume of cone (V1) and half of the volume of the sphere (V2): V = V1 + 1/2 * V2
Volume of the cone is:
V1 = π r² h / 3
According to the image,
h = 14 in
r = 9 in
and
π = 3.14
V1 = 3.14 * 9² * 14 / 3 = 1,186.92 in³
The volume of the sphere is:
V2 = π r³ * 4/3
According to the image,
r = 9 in
and
π = 3.14
V2 = 3.14 * 9³ * 4/3 = 3,052.08 in³
The volume of the prop is:
V = V1 + 1/2 * V2
V = 1,186.92 in³ + 1/2 * 3,052.08 in³
V = 1,186.92 in³ + 1,526.04 in³
V = 2,712.96 in³ ≈ 2,713 in³
Answer:
Step-by-step explanation:
Given:
The function 
passes through the point 
.
For function to transform to 
, the graph has to translate 2 units to left.
Therefore, the point will have to move 2 units to left.
Moving 2 units left means the 
value of the point has to reduce by 2 units.
The value of the point is 2.
So, new value after translation will be 
.
Therefore, the graph of must pass through .
Answer:
15 or 15.4!!!!!!!!!! I hope this helps
Answer:
C
Step-by-step explanation:
Can’t be “B” because the line isn’t straight. “A” is an absolute value graph. Graph “D” equation is Y=2 while graph “C” is X=2
