Answer:
D. 9 cm
Step-by-step explanation:
The radius of the sphere can be found by solving the volume equation for the radius.
V = 4/3πr³
3V/(4π) = r³
r = ∛(3V/(4π)) = ∛(3×3052/(4×π)) ≈ ∛728.611
r ≈ 9.0 cm
The radius of the sphere is about 9 cm.
Answer:
2- B
3- A
Step-by-step explanation:
Answer:
x=16º
Step-by-step explanation:
The sum of angles in a triangle is 180º.
So,
39 + 125 + x = 180
Solve for x.
164 + x = 180
x = 180-164
x= 16
Answer: Choice B (31, 52)
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Explanation:
To go from the point (1,2) to (4,7) we do two things:
A) Move 3 units to the right
B) Move 5 units up
Applying the scale factor will multiply those movement steps by 10. So instead of "3 units to the right" we'll go "30 units to the right" since 3*10 = 30. Similarly, we'll move 50 units up instead of 5 (5*10 = 50)
So if we start at (1,2) and move 30 units to the right and 50 units up, then we'll land on (31, 52) which is the image point for the preimage (4,7)
This is why the answer is choice B
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Note: We can alternatively shift both initial points to the left 1 and down 2 so that (1,2) lands on the origin (0,0). That means (4,7) turns into (3,5). Apply the scale factor through multiplying both coordinates by 10. This works only because the reference point is the origin. We end up with (30,50). Now undo the "left 1 and down 2" to "move right 1, up 2" and we arrive at (31,52) which is the same answer as before. So this is further confirmation that the answer is choice B
1 g/ml is 8.3454 lbs/gal. So you multiply 1.09 into 8.3454 and your answer is 9.1 lbs/gal
