Write and solve an equation of ratios:
15 min 3 racks
---------- = -------------
x 36 racks
Solving this for x: 3x = (15)(36) => x = 180 minutes.
convert this into hours: 180 min 1 hr
------------ * -------------- = 3 hrs (answer)
1 60 min
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)
The way your problem is set it should be simplified to this....4x + 55
Answer:
free points??????????? thank h so much
Answer:
2 miles from your house
Step-by-step explanation:
you walked 3 miles to the store so you are now 3 miles away.
you meet a friend and walk 1 mile in the direction of your house.
now there is 2 miles left.
3 - 1 = 2
