A theater production group is making frames to support wall-like props. Three-foot beams form right triangles with 10-foot beams
2 answers:
The main lesson students and teachers should take away from this problem is the correct answer should be: who cares? The group built their frames with a ruler and a saw, got an exact slope of 10/3 and the angle measures didn't matter one bit. The best angles measures are the ones avoided.
But trig as taught is all about angles. Gotta find the angle. Here we have a right triangle and we're interested in the angle at the top of the frame, opposite side 3, adjacent side 10, so
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Let the total number of questions in the math test be defined by the variable x.
Now, we know that Parker correctly answered 35 questions. These 35 questions make 70% of the total number of questions on his math test.
The information we have above can be expressed as an equation given below:
70% of x=35
This can be rewritten as:
Thus, to find the total number of questions we will have to isolate x.
Therefore, there were a total of 50 questions in the math test.
The asymptotes are where the graph is undefined. Since: tan(x) =sin(x)/cos(x)
It is where cos(4x-π) = 0
cos(4x-π) = 0 when the inside is -π/2 , π/2 , 3π/2
4x - π = π/2
4x = π/2 + π
4x = 3π/2
x = 3π/8
4x - π = 3π/2
4x = 3π/2 + π
4x = 5π/2
x = 5π/8
This ones outside the interval (5π/8 > π/2) , try -π/2
4x - π = -π/2
4x = -π/2 + π
4x = π/2
x = π/8
Asymptotes are π/8 and 3π/8