Answer:
yes at an average of 150 pizzas a day they both sell about the same by the end of the week
A. The ratio of cups of sugar to butter is 3/4 : 1/8. Then multiply both ratios by 8.
8 x 3/4 = 6,
8 x 1/8 = 1.
3/4 : 1/8 is equal to 6 : 1. Therefore, 6 cups of sugar needed when there is 1 cup of butter.
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)
Answer:
27,000
Step-by-step explanation:
$450,000 x 0.06= $27,000
0.06 is the 6% that you multiply by the total amount they earned to see how much they paid the realty company.
<h3>
Answer:</h3>
95%
<h3>
Step-by-step explanation:</h3>
4 minutes is 4×(60 seconds) = 240 seconds.
The amount of dance time is (240 -12) seconds = 228 seconds.
The percentage of music time spent dancing is ...
... (228 seconds)/(240 seconds) × 100% = 95%
