A bag contains 6 one-dollar coins and 4 two-dollar coins. Three coins are taken at random without replacement.
1 answer:
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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°.
Answer:
Part 1) The ordered pair is (0,0)
Part 2) The ordered pair is (-2,-4)
Part 3) The ordered pair is (4,8)
Step-by-step explanation:
we know that
A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form or
In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin
In this problem we have a direct variation
Complete the ordered pairs
Part 1) we have (0,?)
For x=0
Substitute in the equation and solve for y
therefore
The ordered pair is (0,0)
Part 2) we have (-2,?)
For x=-2
Substitute in the equation and solve for y
therefore
The ordered pair is (-2,-4)
Part 3) we have (4,?)
For x=4
Substitute in the equation and solve for y
therefore
The ordered pair is (4,8)