10/3= 3 1/3 this is it as a mixed number
Answer:
60 degrees and 30 degrees
Step-by-step explanation:
let the angles be x and y
we are given that the angles are complementary (i.e they sum up to 90 degrees). Hence we can write the first equation:
x + y = 90 ------(eq 1)
we are also given that the difference between the two angles is 30 degrees). Similarly we can write
x - y = 30 ------(eq 2)
now we have a system of 2 equations with 2 unknowns, which we can solve by elimination:
eq 1 + eq 2:
(x + y) + (x - y) = 90 + 30
2x = 120 (divide both sides by 2)
x = 120/2
x = 60 deg (substitute this back into eq 1)
x + y = 90
60 + y = 90 (subtract 60 from both sides)
y = 90 - 60
y = 30 deg.
Answer:
The answers of the questions are given below :
- a) = 4096
- b) = 1.25
- 3) = m²
- 4) = r⁴s³
- 5) = a⁸/b¹²
Step-by-step explanation:
Question. 1
>> 4⁶
- Hence, the answer is 4096.
Question. 2
>> (2⁶/5³)^-⅓
![\begin{gathered} \qquad\implies{\bigg(\frac{2^6}{5^3}\bigg)^{ - \frac{1}{3}}}\\ \\ \qquad\implies{\bigg(\frac{64}{125}\bigg)^{ - \frac{1}{3}}}\\ \\\qquad\implies{\bigg( \frac{1}{\frac{64}{125}}\bigg)^{ \frac{1}{3}}} \\ \\ \qquad\implies{\bigg( 1 \times \frac{125}{64} \bigg)^{ \frac{1}{3}}} \\ \\ \qquad\implies{\bigg( \frac{125}{64} \bigg)^{ \frac{1}{3}}} \\ \\\qquad\implies{\bigg( \sqrt[3]{ \frac{125}{64}}\bigg)} \\ \\ \qquad\implies{\bigg( \dfrac{5}{4} \bigg)} \\ \\ \qquad\implies{\Big( 1.25\Big)}\end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20%5Cqquad%5Cimplies%7B%5Cbigg%28%5Cfrac%7B2%5E6%7D%7B5%5E3%7D%5Cbigg%29%5E%7B%20-%20%5Cfrac%7B1%7D%7B3%7D%7D%7D%5C%5C%20%20%5C%5C%20%5Cqquad%5Cimplies%7B%5Cbigg%28%5Cfrac%7B64%7D%7B125%7D%5Cbigg%29%5E%7B%20-%20%5Cfrac%7B1%7D%7B3%7D%7D%7D%5C%5C%20%20%5C%5C%5Cqquad%5Cimplies%7B%5Cbigg%28%20%5Cfrac%7B1%7D%7B%5Cfrac%7B64%7D%7B125%7D%7D%5Cbigg%29%5E%7B%20%5Cfrac%7B1%7D%7B3%7D%7D%7D%20%5C%5C%20%20%5C%5C%20%5Cqquad%5Cimplies%7B%5Cbigg%28%201%20%5Ctimes%20%20%5Cfrac%7B125%7D%7B64%7D%20%5Cbigg%29%5E%7B%20%5Cfrac%7B1%7D%7B3%7D%7D%7D%20%5C%5C%20%20%5C%5C%20%5Cqquad%5Cimplies%7B%5Cbigg%28%20%5Cfrac%7B125%7D%7B64%7D%20%5Cbigg%29%5E%7B%20%5Cfrac%7B1%7D%7B3%7D%7D%7D%20%5C%5C%20%20%5C%5C%5Cqquad%5Cimplies%7B%5Cbigg%28%20%5Csqrt%5B3%5D%7B%20%5Cfrac%7B125%7D%7B64%7D%7D%5Cbigg%29%7D%20%20%5C%5C%20%20%5C%5C%20%5Cqquad%5Cimplies%7B%5Cbigg%28%20%5Cdfrac%7B5%7D%7B4%7D%20%5Cbigg%29%7D%20%5C%5C%20%20%5C%5C%20%5Cqquad%5Cimplies%7B%5CBig%28%201.25%5CBig%29%7D%5Cend%7Bgathered%7D)
- Hence, the answer is 1.25.
Question. 3
>> (m^2/3)•(m^4/3)
Question. 4
>> (r¹² s⁹)^⅓
- Hence, the answer is r⁴s³.
Question. 5
>> (a⁴/b⁶)^2
- Hence, the answer is a⁸/b¹².
Answer:
B.
Step-by-step explanation:
The opportunity cost means what Henry will be missing out on by not working at the library. He loses the chance to earn by working in a library.
