Answer:
10√2
Step-by-step explanation:
If x=1+√2, evaluate x³+1/x³
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- x³+1/x³= (x+1/x)(x²-x*1/x+1/x²)=(x+1/x)(x²+1/x²+2-3)= (x+1/x)((x+1/x)²-3)
- x+1/x= 1+√2 + 1/(1+√2)= 1+√2+(1-√2)/(1-√2)(1+√2)= 1+√2 - (1-√2)= 2√2
- x³+1/x³= 2√2((2√2)²-3)= 2√2(8-3)= 10√2
Step-by-step explanation:
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Answer:
sorry, dont speak spanish
Step-by-step explanation:
Answer:
34.98yd^3
Step-by-step explanation:
Volume of a sphere V=4/3πr3
Where V = 2240yd^3
π = 3.14
2240 = 4/3×3.14×r^3
2240 = 4.1866r^3
r^3 = 2240/4.1866
r^3 = 534.784
r = ( 534.784 )^1/3
r = 8.1169
Since each dimension is to be multiplied by 1/4
Hence, 1/4×8.1169
r = 2.029.
New volume will be
V = 4/3×3.14×2.029^3
V = 4/3×3.14×8.3558
V = 34.98yd^3.