79 because the 9 will round up
Step-by-step explanation:
![\boxed{cos^2x=\frac{1-cos2x}{2}}\\cos^2(45+A)+cos^2(45-A)=\frac{1-cos2(45+A)}{2}+\frac{1-cos2(45-A}{2}\\=\frac{1 - cos(90 +2A) }{2} + \frac{1 - cos(90 - 2A) }{2} \\ = \frac{2- ( - sin 2A) - sin2A}{2} \\ = \frac{2 + sin2A -sin2A }{2} \\ = \frac{2}{2} \\ = 1](https://tex.z-dn.net/?f=%20%5Cboxed%7Bcos%5E2x%3D%5Cfrac%7B1-cos2x%7D%7B2%7D%7D%5C%5Ccos%5E2%2845%2BA%29%2Bcos%5E2%2845-A%29%3D%5Cfrac%7B1-cos2%2845%2BA%29%7D%7B2%7D%2B%5Cfrac%7B1-cos2%2845-A%7D%7B2%7D%5C%5C%3D%5Cfrac%7B1%20-%20cos%2890%20%2B2A%29%20%7D%7B2%7D%20%20%20%2B%20%20%5Cfrac%7B1%20-%20cos%2890%20%20-%202A%29%20%7D%7B2%7D%20%20%20%5C%5C%20%20%3D%20%20%20%5Cfrac%7B2-%20%28%20-%20sin%202A%29%20%20-%20sin2A%7D%7B2%7D%20%5C%5C%20%3D%20%20%5Cfrac%7B2%20%2B%20sin2A%20-sin2A%20%7D%7B2%7D%20%20%5C%5C%20%20%3D%20%20%5Cfrac%7B2%7D%7B2%7D%20%20%5C%5C%20%20%3D%201)
Answer:
-1/15 because it is closer to zero on the negative half of a number line.
Answer:f=−
7
x
2
+1−2g−x
Step-by-step explanation:
1 Subtract {x}^{2}x
2
from both sides.
2{x}^{2}+1-g-x-{x}^{2}=-7f+g2x
2
+1−g−x−x
2
=−7f+g
2 Simplify 2{x}^{2}+1-g-x-{x}^{2}2x
2
+1−g−x−x
2
to {x}^{2}+1-g-xx
2
+1−g−x.
{x}^{2}+1-g-x=-7f+gx
2
+1−g−x=−7f+g
3 Subtract gg from both sides.
{x}^{2}+1-g-x-g=-7fx
2
+1−g−x−g=−7f
4 Simplify {x}^{2}+1-g-x-gx
2
+1−g−x−g to {x}^{2}+1-2g-xx
2
+1−2g−x.
{x}^{2}+1-2g-x=-7fx
2
+1−2g−x=−7f
5 Divide both sides by -7−7.
-\frac{{x}^{2}+1-2g-x}{7}=f−
7
x
2
+1−2g−x
=f
6 Switch sides.
f=-\frac{{x}^{2}+1-2g-x}{7}f=−
7
x
2
+1−2g−x
Answer:
Step-by-step explanation:
Given:
Volume of water in p = 65 gallons
Volume of water in q = 63.5 gallons
Initially,
Vip = 65 gallon
Viq = 63.5 gallon
Volumetric rate, v = volume/time
At the time both tanks will be filled,
Vfp = Vfq
Final volume, Vf = Vi + v×t
65 - vt = 63.5 + vt
65 - Kt = 63.5 + Mt
Calculating t,
65 - 63.5 = Mt + Kt
1.5 = (M + K) × t
Time, t = 1.5/(M + K) minutes