Answer: 9 is the answer
Step-by-step explanation:
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Answer:
we know that, Volume of cube=a³
Let volume of 1st cube be 2x with side a and other be x with side A (according to given ratio)
Step-by-step explanation:
ATQ: 2x=a³ and, x=A³
a=³√2x and, A=x
we know that, surface area of cube is 6a²
Thus, surface area of 1st cube = 6(³√2x)²
= 6³√4x²
Surface area of 2nd cube=6(x)²=6x²
Ratio of S.A=(6³√4x²)÷(6x²)
Ratio of S.A=³√4:1
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Answer:
x = 3
Step-by-step explanation:
The smaller triangle and larger one are similar, so corresponding sides are proportional.
8/4 = (8 +(x -1))/5
10 = x +7 . . . . . . . . . multiply by 5 and simplify
3 = x . . . . . . . . . subtract 7
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<em>Alternate solution</em>
The short segments are also proportional:
(x -1)/(5 -4) = 8/4
x -1 = 2 . . . . simplify
x = 3 . . . . . . add 1
Answer:a 2 5 8 11 14
Step-by-step explanation:
Answer:
$12,500
Step-by-step explanation:
Using the compound interest formula Accrued Amount = P (1 + r)^n
where Accrued amount = $18000
P = principal; we need to generate it
r = 20% = 0.2
n = 2
Therefore
P = Accrued amount/ (1 + r)^n
= 18000/(1+0.2)^2
= 18000/1.44
= 12,500
hence $12,500 needs to be invested
