Consider the expression 63+81. How can you use the distributive property and the GFC to find an equivalent expression? Explain h
1 answer:
You might be interested in
Answer:
The fifth root is 2[cos(56°) + i sin(56°)]
Step-by-step explanation:
* To solve this problem we must revise De Moiver's rule
- In the complex number with polar form
∵ z = r(cosФ + i sinФ)
∴ z^n = r^n(cos(nФ) + i sin(nФ))
* In the problem
- The fifth root means z^(1/5)
- We can put 32 as a form a^n
∵ 32 = 2 × 2 × 2 × 2 × 2 = 2^5
∴ z = 2^5[cos(280°) + i sin(280°)]
* Lets find z^(1/5)
∴ z^(1/5) = 2[cos(56) + i sin(56)]
* The fifth root of 32[cos(280°) + i sin(280°)] is 2[cos(56°) + i sin(56°)]
<u>Answer:</u>
- The value of x is 50°.
<u>Step-by-step explanation:</u>
<u>We know that:</u>
- x = y
- 2(70 + 60) + x + y = 360
<u>Work:</u>
- 2(130) + x + x = 360
- => 260 + 2x = 360
- => 2x = 360 - 260
- => 2x = 100
- => x = 50
Hence, <u>the value of x is 50°.</u>
Hoped this helped.