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:
Step-by-step explanation:
(This exercise has been presented in Spanish and for that reason explanation will be held in Spanish)
La cantidad de botellas de 0,25 litros que se llenan con 49 litros de yogurt es:
La cantidad remanente de yogurt es:
Ahora, la cantidad de botellas de 0,5 litros que se llenan con el volumen remanente es:
Finalmente, el total de botellas a llenar es:
The simplest form of the given algebraic expression √(250c³/9d⁶) is; 5c * (√10c)]/3d³
<h3>How to simplify algebra problems?</h3>
We are given the algebra problems as;
√(250c³/9d⁶)
Now 250c³ can be broken down into 250 = 25c² × 10c
Thus, we now have;
√(250c³/9d⁶) = [√(25c²) * (√10c)]/√9d⁶
When we breakdown the above expression, we have;
5c * (√10c)]/3d³
Read more about Algebra Problems at; brainly.com/question/723406
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Answer:
B
Step-by-step explanation:
(8x + 8)(x + 3) = 
= 
.
1(3694820-1223400=2471420. Ans. B
2)4*40*0.05=8 Ans. B
3)Ans. D
4)2*3*2*3=6*6=36 Ans. 2,2,3,3
5)4*(10)/2=40/2=20 Ans 20
6) Ans. Distributive Property
7)Ans. 5
8)Ans. 60° angle, because 90-30=60
