C: (1+3/4)(8) = 14 hours
G: (1+1/3)(8) = 10.7 hours
S: (2/3)(8) = 5.3
Step-by-step explanation:
Left hand side:
4 [sin⁶ θ + cos⁶ θ]
Rearrange:
4 [(sin² θ)³ + (cos² θ)³]
Factor the sum of cubes:
4 [(sin² θ + cos² θ) (sin⁴ θ − sin² θ cos² θ + cos⁴ θ)]
Pythagorean identity:
4 [sin⁴ θ − sin² θ cos² θ + cos⁴ θ]
Complete the square:
4 [sin⁴ θ + 2 sin² θ cos² θ + cos⁴ θ − 3 sin² θ cos² θ]
4 [(sin² θ + cos² θ)² − 3 sin² θ cos² θ]
Pythagorean identity:
4 [1 − 3 sin² θ cos² θ]
Rearrange:
4 − 12 sin² θ cos² θ
4 − 3 (2 sin θ cos θ)²
Double angle formula:
4 − 3 (sin (2θ))²
4 − 3 sin² (2θ)
Finally, apply Pythagorean identity and simplify:
4 − 3 (1 − cos² (2θ))
4 − 3 + 3 cos² (2θ)
1 + 3 cos² (2θ)
It would be: 6 ( 6- 4)
= 6 ( 2)
= 12
So, Your Answer would be 12
Hope this helps!
This is Scientific Notation here's what you have to do:
First find the Notation:
8.23×10^5
It positive so go to the right.
=823000.
Next do the same thing but with the next Notation:
3.19×10^8
Its positive so go to the right:
=319000000.
Then compare the Notation's
823000. and 319000000.
319000000. is bigger than 823000.
So your answer is 319000000. so its United States.
Step-by-step explanation:
Let set up the two column proof
Statements. Reasons
1. m 1+ m∠5 = 180° and m∠1 + m∠4=180° Given
2. 2. m∠1 + m∠5 = m∠1 + m∠4. Substitution
3.m∠5 = m∠4. Subtraction Property of Equal
4.is Parallel to Given. 4.If alternate interior angles equal, then lines are ||.
