Solve for x:A 10°B 18°C 20°D 22.5°
1 answer:
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Answer:
Step-by-step explanation:
The formula for the volume of a sphere is
In order to use this formula we have to have a value for the radius and right now we don't. But we can find it indirectly by using the circumference formula. The circumference formula is
If the circumference is 20π, then we will fill that in for "C" and solve for r:
20π = 2πr and if you divide both sides by 2π, you'll get that r = 10. Now we have a radius.
Using that in the volume formula:
and then simplifying a bit:
and
which divides to give you
, third choice down.
Answer:
Step-by-step explanation:
1)First convert mixed fraction to improper fraction and them prime factorize
2)
3) 0.00706 = 7.06 *
<em>4)</em> 144 = 12 * 12
12 = 6*2
6 = 2*3
Prime factorization of 144 = 2 * 3 * 2 * 2 * 3 *2
= 2⁴ * 3²
5) To find LCM, prime factorize 96 & 144
96 = 2 * 2 * 2 * 2 * 2 * 3 = 2⁵ * 3
144 = 2⁴ * 3²
LCM = 2⁵ * 3² = 32 * 9 = 288
6) HCF
105 = 7 * 5 * 3
135 = 5 * 3* 3 * 3
180 = 5 * 3 * 3 * 2 * 2
HCF = 5 * 3 = 15
7) 24 = 3 * 2 * 2 * 2 = 3 * 2³
36 = 3 * 3 * 2 * 2 = 3² * 2²
40 = 5 * 2 * 2 * 2 = 5 * 2³
LCM = 5 * 2³ * 3² = 5 * 8 * 9 = 360
HCF = 2² = 4
Difference = 360 - 4 = 356
8) Multiply each digit of the binary number by the corresponding power of 2, solve the powers and add them all
1111 = 1 *2³ + 1*2² + 1*2¹ + 1*2° = 8 + 4 + 2 + 1 = 15
Ans: 15
9) 36₇ = 102₅
10) 6.9163 = 6.916