9514 1404 393
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°.
All except generals
Union supported African Americans as soldiers
They worked as slaves so obviously cooks
Answer:
The most helpful representation would be option C.
Step-by-step explanation:
The horizontal distance traveled corresponds to one of the roots of the quadratic equation.
h(x) = -0.01(x-150)(x+4)
In this case, option c presents the roots of the polynomial, which answers are
x = -4
x = 150
Since we are talking about positive distances, the first option gets discarded.
So the horizontal distance is x = 150 feet
Answer:
128, -256, -1024
Step-by-step explanation:
multiply 32 by 4, multiply 128 by -2, multiply -256 by 4
Answer:
-5
Step-by-step explanation:
Slope is y2-y1/ x2-x1. So -10 -5/ -7 +10 = -15/3. Then you simplify that to -5