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°
Perform the indicated operations in the order specified by PEMDAS (Order of Operations rules):
-3x - 2(3) - 2(-x) + 14. Multiply first, in two places:
-3x - 6 + 2x + 14 Combine like terms:
8 - x Answer
Answer:
Step-by-step explanation:
So if their is 65% of 20 tables with 6 chairs that's 13 tables.
And if their is 35% of 20 tables with 4 chairs that's 7 tables.
Answer:
180 m²
Step-by-step explanation:
Surface area = 2 ( lw + wh + lh)
= 2( 6x3 + 3x8+8x6)
= 180 m²
