Answer:
1/3 B h
1/3(50.24)(10)
plug in into a calculator
Answer:
340
Step-by-step explanation:
240 + 100 = 340
Answer:
Step-by-step explanation:
1)First convert mixed fraction to improper fraction and them prime factorize
![6\frac{1}{4} = \frac{25}{4}\\](https://tex.z-dn.net/?f=6%5Cfrac%7B1%7D%7B4%7D%20%3D%20%5Cfrac%7B25%7D%7B4%7D%5C%5C)
![\sqrt{\frac{25}{4}}= \sqrt{\frac{5*5}{2*2}}= \frac{5}{2} = 2 \frac{1}{2} \\\\](https://tex.z-dn.net/?f=%5Csqrt%7B%5Cfrac%7B25%7D%7B4%7D%7D%3D%20%5Csqrt%7B%5Cfrac%7B5%2A5%7D%7B2%2A2%7D%7D%3D%20%5Cfrac%7B5%7D%7B2%7D%20%3D%202%20%5Cfrac%7B1%7D%7B2%7D%20%5C%5C%5C%5C)
2)
![(2 \frac{1}{2}- 1 \frac{1}{2})*1 \frac{1}{7}=( \frac{5}{2}- \frac{3}{2})* \frac{8}{7}\\\\\\= \frac{2}{2}* \frac{8}{7}\\\\=1* \frac{8}{7}= \frac{8}{7}\\\\\\=1 \frac{1}{7}](https://tex.z-dn.net/?f=%282%20%5Cfrac%7B1%7D%7B2%7D-%201%20%5Cfrac%7B1%7D%7B2%7D%29%2A1%20%5Cfrac%7B1%7D%7B7%7D%3D%28%20%5Cfrac%7B5%7D%7B2%7D-%20%5Cfrac%7B3%7D%7B2%7D%29%2A%20%5Cfrac%7B8%7D%7B7%7D%5C%5C%5C%5C%5C%5C%3D%20%5Cfrac%7B2%7D%7B2%7D%2A%20%5Cfrac%7B8%7D%7B7%7D%5C%5C%5C%5C%3D1%2A%20%5Cfrac%7B8%7D%7B7%7D%3D%20%5Cfrac%7B8%7D%7B7%7D%5C%5C%5C%5C%5C%5C%3D1%20%5Cfrac%7B1%7D%7B7%7D)
3) 0.00706 = 7.06 * ![10^{-3}](https://tex.z-dn.net/?f=10%5E%7B-3%7D)
<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