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°
Answer:
x = 1.5; 20x + 5 = 35; 24x + 1 = 37;
Step-by-step explanation:
______________________________
1) 20x + 5 = 24x - 1
2) 20x + 6 = 24x
3) 6 = 4x
4) x = 1.5
_______________________________
20x + 5
1) 20(1.5) + 5
2) 30 + 5
3) 35
_______________________________
24x + 1
1) 24(1.5) + 1
2) 36 + 1
3) 37
Answer:
151250 rupees
Step-by-step explanation:
a square has four sides and one side is 150m long so : 150*4=600
and road: 600+5=605
if 250rs per sq meter : 250*605
=151250 rupees
I'm not so sure though it's a maybe
Answer:
3.5?
Step-by-step explanation:
2,000 is 10% of 20,000
3.5 is 10% of 35
7.2x10=72
This should be the correct answer