Hello from MrBillDoesMath!
Answer:
@ = pi/3 (or 60 degrees) or @ = 7 pi/3 (or 420 degrees)
Discussion:
Let "@' denote the angle "theta". We are asked to find @ in the interval [0, 4 pi)
where
4cos(@) - 2 = 0. Adding 2 to both sides
4 cos(@) - 2 +2 = 2 =>
4 cos(@) = 2 Divide both sides by 4
cos(@) = 2/4 = 0.5
This implies that @ = pi/3 (or 60 degrees) or @ = (pi/3 + 2pi) = 7 pi/3 (or 420 degrees)
Thank you,
MrB
Answer:
21
Step-by-step explanation:
3+(a+4)(8-b)
3+(5+4)(8-6)
3+(9)(2)
3+18
21
She has 3 children. One children is 17, the other is 19 and the other one is 23
Answer
Option C : 2214(5)
Solution
The given number is 465 in base 8. To convert this number to base 5,we need to convert this number to base 10, then only we can compute the number in base 5
Step1 : Convert 465 to the base 8 to base 10
4 x 82=256
6 x 81=48
5 x 80=5
Adding 256 + 48+ 5 = 309(10)
Step2 : Convert 309(10) to base 5
5 | 309
5 | 61 |4
5 | 12 | 1
5 | 2 | 2
5 | 0 | 2
Therefore Answer = 2214(5 )