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Mrac [35]
3 years ago
6

Need help on 1-6 please I need to solve for x and I need to get this done.

Mathematics
1 answer:
Firdavs [7]3 years ago
8 0
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°
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Answer:

The speed/rate to her parent's house is x = 75 mph

The speed/rate from her parent's house is y = 50 mph

Step-by-step explanation:

Given;

Distance to her parent's house = 240 miles

Total distance travelled (to and fro) = 240×2 = 480 miles

Total time taken t = 8 hours

On her way there her average speed was 25 miles per hour faster than on her way home (she ran into some bad weather)

Let x and y represent her speed to and from her parent's house respectively.

x = y+25 ......1

The time taken to her parent's house is;

time = distance/velocity

t1 = 240/x = 240/(y+25)

The time taken from her parent's house is;

time = distance/velocity

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Total time taken t = t1 +t2

t = 240/(y+25) + 240/y = 8

Solving for y ;

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Solving the quadratic equation;

y = 50

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x = y+25

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x = 50 + 25

x = 75 mph

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Answer:

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Since we know from the statement that sales were primarily driven by the price of the products, the demand of product (b) should have increased. Hence this statement is false

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