Answer:
39.91 degrees.
Step-by-step explanation:
Formula
Sin(A)/a = Sin(B) / b
Givens
Solution
Sin(84)/31 = Sin(B)/20
20*Sin(84) / 31 = Sin(B)
Sin(B) = 0.6416
B = 39.91 degrees.
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This looks like it is right, but you should check. Let h be the height opposite angle A.
h/20 = sin(39.91)
h = 20*sin(39.91)
h = 12.83
31 has to be longer than that amount (which it is.) So there is one solution.
Answer:
3 toppings for a total of $6.50
Step-by-step explanation:
Based on the information provided we can calculate the cost of a yogurt using the following equations for both Froyo Express (F) and The Big Chill (B) , where the variable x represents the number of toppings...
F = 5.75 + 0.25x
B = 2.75 + 1.25x
Now that we have both equations we can simply make one equal to the other and solve for x in order to calculate at what number of toppings the prices will be the same...
5.75 + 0.25x = 2.75 + 1.25x ... subtract 2.75 and 0.25x on both sides
3 = 1x ... divide both sides by 1
3 = x
Finally, we can see that at 3 toppings the total cost of both stores will be the same at $6.50
Your answer is:Alternate Interior Angles
