Answer:
d. 27 cubic feet
Step-by-step explanation:
volume of cube = s^3 = B * s
volume of pyramid = (1/3) * B * h
The volume of a pyramid is 1/3 of the area of the base multiplied by the height. The volume of a cube is the area of the base multiplied by the height. Since the volume of a pyramid has the fraction 1/3 and the volume of the cube does not, then the volume of a cube is 3 times greater than the volume of a pyramid that fits inside and has the same base area.
volume of pyramid = 9 cu ft
volume of cube = 3 * 9 cu ft = 27 cu ft
Answer: d. 27 cubic feet
The lengths of the line segments are summarized in the following list:
- DF = 3
- DE = 8 / 3
- FG = 3
- FH = 9 / 2
- GH = 3 / 2
- EH = - 11 / 6
<h3>How to calculate the length of a line segment based on point set on a number line</h3>
Herein we have a number line with five points whose locations are known. The length of each line segment is equal to the arithmetical difference of the coordinates of the rightmost point and the leftmost point:
DF = - 1 - (- 4)
DF = 3
DE = (- 1 - 1 / 3) - (- 4)
DE = 3 - 1 / 3
DE = 8 / 3
FG = 2 - (- 1)
FG = 3
FH = (3 + 1 / 2) - (- 1)
FH = 4 + 1 / 2
FH = 9 / 2
GH = (3 + 1 / 2) - 2
GH = 1 + 1 / 2
GH = 3 / 2
EH = (3 + 1 / 2) + (- 1 - 1 / 3)
EH = - 2 + (1 / 2 - 1 / 3)
EH = - 2 + 1 / 6
EH = - 11 / 6
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Answer:
a =15
b=70
c=400
d=1500
e=5300
Step-by-step explanation:
it will help u
M is the centroid and the centroid divide the line in 1:2 ratio . So M divide BQ in 1:2 ratio and the total length of BQ is 18.
Therefore BM is one third of 18 . ANd one third of 18=6
So BM =6 and MQ=12 .
Answer:
a) P = 0.08s +200
b) $488
c) $6250
Step-by-step explanation:
<h3>a)</h3>
Your answer is correct. The commission rate is multiplied by the sales amount, and that product is added to the guaranteed pay to get the paycheck amount:
P = 0.08s +200
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<h3>b)</h3>
Fill in 3600 for s and do the arithmetic.
P = 0.08×3600 +200 = 288 +200 = 488
The paycheck amount will be $488.
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<h3>c)</h3>
Use the equation for part (a) and solve for P = 700.
700 = 0.08s +200
500 = 0.08s . . . . . . subtract 200
500/0.08 = s = 6250 . . . dollars; divide by the coefficient of s to get this
Sales would have to be $6250.
