1-3 are about trigonometric ratios (SOH CAH TOA). 4, 5 are about the Law of Cosines, and 6 uses the Law of Sines.
1. Sin = Opposite/Hypotenuse
x = 10*sin(40°) ≈ 6.428
2. Sin = Opposite/Hypotenuse
x = arcsin(7/12) ≈ 35.69°
3. Tan = Opposite/Adjacent
x = 18/tan(52°) ≈ 14.063
4. b^2 = a^2 +c^2 -2ac*cos(B)
B = arccos((a^2 +c^2 -b^2)/(2ac)) = arccos((7^2 +13^2 -8^2)/(2*7*13))
B = arccos(11/13) ≈32.20°
5. Same formula.
x = √(a^2 +c^2 -2ab*cos(B)) = √(157-132cos(42°)) ≈ 7.675
6. The ratio of side lengths is the same as the ratio of the sines of the opposite angles.
6/10 = sin(x)/sin(100°)
x = arcsin((6/10)*sin(100°)) ≈ 36.22°
The next day, you charge $3.50 for each bracelet. You have a supply of 30 bracelets, and exactly 30 customers demand them. At the end of the day, there is no excess demand or excess supply. So, $3.50 must be the <u>equilibrium price</u>
the correct answer is the bolded, underlined words. I hope this helps, have a great day, chao!!
Answer:
1. x = -3 or x = 5
2. x = 4 or x = 7
3. - 4 and 9
4. x = 4 or x = - 6
5. Unfortunately I got this one wrong, but put the answers above and you'll get an 80%
Answer:
2z-31 = -9z+24
First, combine like terms: 11z = 55
Then, divide both sides by 11: 11z/11 = 55/11
Simplify: z=5
Step-by-step explanation:
