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Answer:
b = 71 m
A = 83°
C = 29°
Step-by-step explanation:
Many calculators can solve triangles. Apps are available for phone and tablet, or on the internet, like the one used here. In general, it takes less time to use one of these than to type your question into Brainly.
Given two sides and the angle between them, the Law of Cosines is the appropriate relation to use for finding the third side.
b = √(a² +c² -2ac·cos(B))
b = √(76² +37² -2·76·37·cos(67.75°)) ≈ √5015.48
b ≈ 70.82005 ≈ 71 . . . meters
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One a side and its opposite angle are known, the remaining angles are found using the Law of Sines.
sin(A)/a = sin(B)/b
A = arcsin(a·sin(B)/b) = arcsin(76·sin(67.75°)/70.82005) ≈ 83.33°
A ≈ 83°
C = arcsin(37·sin(67.75°)/70.82005) ≈ 28.92°
C ≈ 29°
Or, you can find the remaining angle from 180° -68° -83° = 29°.
The answer to your question is 8.9
The equation is:
3 x = 15,000 where x is the number of yesterday’s attendance
Step-by-step explanation:
There are three times as many people at the baseball park today than
there were yesterday
Assume that the number of the people at the baseball park
yesterday is x
∵ The number of the people at the baseball park yesterday = x
∵ The number of people at the baseball park today is three times
as many as the number of the people yesterday
∴ The number of people at the baseball park today = 3 x ⇒ (1)
∵ Today’s attendance is 15,000
∴ The number of people at the baseball park today = 15,000 ⇒ (2)
- Equate (1) and (2)
∴ 3 x = 15,000
- To find the value of x solve the equation:
3 x = 15,000
The equation is:
3 x = 15,000 where x is the number of yesterday’s attendance
Learn more:
You can learn more about equations in brainly.com/question/11229113
#LearnwithBrainly
Answer:
90,56,7867,45,89,45,24,67
