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
6. 24- factors:1&24,2&12,3&8, 4&6. 18 factors: 1&18, 2&9, 3&6. The highest number that can multiply into them is 6 so it is the GCF
Answer: ( -7 , -3 )
Step by step:
The point: ( X , Y )
Left 2 units = change X by -2
So, -5 subtract by 2 equals -7
Down 3 units = change Y by -3
So, 0 subtract by 3 equals -3
Now, X = -7 and Y = -3, so the answer is ( -7 , -3 )
Hope this helps! Please tell me if I did anything wrong, thank you!
Answer:
Step-by-step explanation:
10 pens - 2 pens = 8 pens
Write 8 of 10 as a fraction.
You get , right?
Now, simplify 8/10.
You get 4/5.