Step 1 is to factor everything!
After factoring you will get:
x-5 over (x+2)(x+5) times x+4 over (x-3)(x+4)
Step 2 is to remove the duplicate factors!
Remove x+4 and x+5
x-5 over (x+2)(x-5) times 1 over x-3 = 1 over x+2 times 1 over x-3
Step 3 is to multiply the numerators and the denominators.
End result is 1 over (x+2)(x-3)
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:
26-x
Step-by-step explanation:
If he started with 26 learners he lost x. Imagine x was a value of 5. To get the learners left you will have to subtract the numbers he lost from 26
