Step-by-step explanation:
along the side with 1 cm we can fit 3 cubes, as 3×1/3 = 1.
along the side with 2 2/3 cm we can fit 8 cubes :
2 2/3 = 6/3 + 2/3 = 8/3.
and 8/3 / 1/3 = 8/3 × 3/1 = 3×8 / 3×1 = 8
and the height is 2/3 cm, so we can put 2 layers of cubes on top of each other.
so, we have
3 × 8 × 2 = 48
48 cubes are needed to fill the prism.
Regroup terms
2(x + 2) = 1
Divided both sides by 2
x + 2 = 1/2
Subtract 2 from both sides
x = 1/2 - 2
Simplify 1/2 - 2 to -3/2
<u>x = -3/2</u>
Answer:
10ab²c √(2bc)
Step-by-step explanation:
Here in this question we have to simplify the following expression:
.
We can separate each of the terms and square root each term individually.
Now, √200=√(2×4×5×5) =2×5√2 =10√2
Now, √(a²) = a.
And, √(b⁵) =√(b×b×b×b×b) =b²√b
And again, √(c³) = √(c×c×c) = c√c
Therefor, √(200a²b⁵c³) =( 10√2 )×( a )×( b²√b )×( c√c ) = 10ab²c √(2bc) (Answer)
Answer:
Step-by-step explanation: