Answer: (27- 4/3 pi) r^3
Step-by-step explanation: 1. Volume of a cube: V= a^3, V= 3^3 , V=27
2. Volume of a sphere: V=4/3 pi r^3 ......
Answer:
- D. A translation 1 unit to the right followed by a 270-degree counterclockwise rotation about the origin
Step-by-step explanation:
<em>See the picture for better visual</em>
Take segments ST and S'T'. If we extend them they will intersect at right angle.
It is the indication that the rotation is 90° or 270° but not 180°, when the corresponding segments come parallel.
The QRST is in the quadrant IV and Q'R'S'T' is in the quadrant III, which mean the rotation is 90° clockwise or 270° counterclockwise.
<u>This rotation rule is:</u>
We also see the points S and T have x-coordinate of 5 but their images have y-coordinates of -6. It means the translation to the right by 1 unit was the step before rotation.
<u>We now can conclude the correct choice is D:</u>
- A translation 1 unit to the right followed by a 270-degree counterclockwise rotation about the origin
Answer:
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Step-by-step explanation:
Answer:
4n + 8 = -48
n = -14
Step-by-step explanation:
Using key words from the problem, you can set up an equation with the proper operations to solve for the variable. Product = multiplication, so the 'product of 4 and a number' = 4n. Increased = addition, so increased by 8 = 4n + 8. The word 'is' means equal to, so:
4n + 8 = -48
In order to solve for 'n', you use inverse (opposite) operations and whatever you do to one side of the equation, you do to the other:
Subtract 8: 4n + 8 - 8 = -48 - 8 or 4n = -56
Divide 4: 4n/4 = -56/4
Solve for 'n': n = -14