Determine two angles between 0° and 360° that have a cosine of negative root3/2 without using a calculator
1 answer:
Answer:
150° and 210°
Step-by-step explanation:
1) to drow a circle with radius=1 in the system of coordinates like in the attached picture;
2) to mark point (-√3/2)≈-0.866 on X-axis (in the picture it is the point M);
3) to graph line AB through point M, the line AB || Y-axis and the points A and B are on the circle with radius=1;
4) to measure the angles ∠ROA and ∠ROB (the points are marked with red colour);
5) finally, m(∠ROA)=150°; m(∠ROB)=210°.
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Given: A sloth may move in one hour = 250÷5/8.
let us simplify 250÷5/8 first.
Division sign can be convert into multiplication sign and flip the right side fraction 5/8 to 8/5.
250×
Dividing 250 by 5, we get
= 50 × 8
Multiplying 50 and 8, we get
= 400.
So, we could say, a sloth may move in one hour = 400 units.
We need to find distance covered in 90 minutes.
Let us convert 90 minutes into hours.
60 minute = 1 hour.
1 minute = 1/60 th of an hour.
and 90 minutes = 90 * 1/60 = 90/60 = 9/6 = 1.5 hours.
We already got above that a Sloth may move in one hour = 400 units.
Therefore, in 1.5 hours Sloth can move = 1.5 × 400 = 600 units.
So, a sloth go 600 units in 90 minutes .