Answer: f(5x)=(50x^2)-5
Step-by-step explanation:
f(5x)=2(5x)^2-5
=2(25x^2)-5
=50x^2-5
The answer needs the volume of the original pyramid minus the small pyramid cut off.
Volume of pyramid = (area of base x height)/3
(12 x 6 x 14)/3 - (4 x 10 x 6)/3 = 256 m^3
The diagram is completely wrong so this problem is actually impossible to solve!
If you slice horizontally across a rectangular pyramid the ratios of the edges will remain constant.
The two rectangles are not the same shape! 12:6 is not the same ratio as 10:4
If the original pyramid in this question was sliced in half the top rectangle of the frustum would be 6 x 3.
In this diagram the height was reduced from 14m to 8m so the top 6m was removed.
If the base was 12 x 6 the top rectangle should be 6/14 smaller = 5.14m by 2.57m (not 10 x 4)
If you are brave you could point this out to your teacher
Answer:
The sum will be close to 1/2
Step-by-step explanation:
1/4+2/7=15/28
The common denominator of 1/4 and 2/7 is 28.
1/4 -> 7/28
2/7 -> 8/28
7/28+8/28=15/28
turn that into a decimal and it will round to 0.5257
1/2=0.5
so the answer will be closer to 1/2
Answer:
( - infinity, -3 ] [ -2, infinity )
square bracket means it includes the end point.
Step-by-step explanation:
(-∞, -3]U [-2,∞)