Answer:
38 Tables
Step-by-step explanation:
First, we need to add the number of students with the number of adults to get the total number of people attending the picnic.
182 + 274 = 456
Next, we divide that number by how many people fit at each table to find how many tables we need.
456 people ÷ 12 people at each table = 38 tables.
In the second picture, top left is order 2, top right is order 4, bottom right is order 4, bottom left is order 2 I think but I'm not positive on that one. That's all I know for now, I'm currently in Calculus so my Geometry is a bit rusty.
3y = - 2x + 6
y = - 2/3x + 2
slope = - 2/3x
Answer:
Step-by-step explanation:
It is convenient to memorize the trig functions of the "special angles" of 30°, 45°, 60°, as well as the way the signs of trig functions change in the different quadrants. Realizing that the (x, y) coordinates on the unit circle correspond to (cos(θ), sin(θ)) can make it somewhat easier.
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<h3>20.</h3>
You have memorized that cos(x) = (√3)/2 is true for x = 30°. That is the reference angle for the 2nd-quadrant angle 180° -30° = 150°, and for the 3rd-quadrant angle 180° +30° = 210°.
Cos(x) is negative in the 2nd and 3rd quadrants, so the angles you're looking for are
150° and 210°
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<h3>Bonus</h3>
You have memorized that sin(π/4) = √2/2, and that cos(3π/4) = -√2/2. The sum of these values is ...
√2/2 + (-√2/2) = 0
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<em>Additional comments</em>
Your calculator can help you with both of these problems.
The coordinates given on the attached unit circle chart are (cos(θ), sin(θ)).