Answer:
2 1/3 cups of water
Step-by-step explanation:
7/2 cups of mix =3.5 cups of mix
3 cups of mix*2/3 cups of water=2 cups of water
2/3cups of water*.5 cups of mix=2/6 cups of water=1/3 cups of water
Hello :
by idetity : 1+cos(2a) = 2cos²(a)
let : a = <span>θ/2
1+cos(2×</span>θ/2)=2cos²(θ/2)
1+cos(θ) = 2cos²(θ/2)
solve : 2 cos^2 (θ/2) - 3 cos(θ) = 0 ......(1)
(1) : 1+cos(θ)-3 cos(θ) =0
2cos(θ) = 1
cos(θ) = 1/2
in : [0, 2π<span>[
</span>( θ = π/3) or (θ = 5π/3)
He is not correct. If this is to be an equilateral triangle then all the angles must be the same measure. That means that 180/3 = 60°. They all have to equal 60°. If one of the angles measures 4x-12, then 4x-12=60. Solving for x, we will add 12 to both sides to get 4x=72. x here is 18. For the other angle measuring 2x+26, we would do the same. 2x+26=60. Subtract 26 from both sides to get 2x= 34 and x = 17. He was way off.
ANSWER

EXPLANATION
The given radical expression is

Recall and use

to obtain;

Simplify the second radicand.

We have two like surds so we can simplify to obtain;

7 cookies she ate 1 in total an she gave away 1 in total and she has 5 left