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Answer:
3 Kg 726g
Step-by-step explanation:
Kg g
0 496
<u> 6 076</u> +
6 572 -
<u>2 846</u>
3 726
Answer:
15,872 mm³
Step-by-step explanation:
given:
A small square pyramid of height 6 cm was removed from the top of a large square pyramid of height 12cm forming the solid shown.
Find:
the exact volume of the solid
solution:
volume of square base pyramid = (base area)² * h/3
where total h = 12 cm
height of top pyramid (ht)= 6 cm
height of bottom pyramid (hb) = 6 cm
bottom volume = total volume - the volume on top
so,
total volume = 1/3 (base area)² h
= 1/3 (8*8)² * 12
= 16,384 mm³
volume on top = 1/3 (top base area)² h
= 1/3 (4*4)² * 6
= 512 mm³
finally: get the bottom volume:
bottom volume = total volume - the volume on top
bot. vol = 16,384 mm³ - 512 mm³
= 15,872 mm³
therefore,
the volume of the cut pyramid base = 15,872 mm³
Answer:
x=-2
Step-by-step explanation:
5x -10x- 30= 10x
-5x -30 = 10x
-30=15x
x=-2
Answer:
D
Step-by-step explanation:
For simplify the work we can start to factorise all the possibles expressions:
2x + 8.
8 is multiple of 2, so it can became
2(x+4)
x^2 - 16 this is a difference of two squares, so it can be rewritten as:
(x+4)(x-4)
x^2 + 8x + 16
we have to find two numbers whose sum is 8 and whose product is 16
the two number are 4 and 4
it becames:
(x+4)(x+4)
x+ 4 can‘t be simplified
if we look at the expression, we can find that x-4 appears at the numerator so
x^2 - 16 must be at numerator
but the second factor (x+4) doesn’t appear, so has been simplified. This situation can be possible only in the D option
in fact
(x+4)(x-4)/2(x+4) * (x+4)/(x+4)(x+4)
it became
(x+4)(x-4)/2 * 1/(x+4)(x+4)
(x-4)/2(x+4)