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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Answer:
<em>The volume of the cube is </em> <em>cu in.</em>
Step-by-step explanation:
<u>The Volume of a Cube</u>
Let's have a cube of side length a. The volume of the cube is:
The cube of the image has a side length of
Simplifying the expression of the base by converting the negative exponent in the numerator to the denominator:
Now find the volume:
Applying the exponents:
The volume of the cube is cu in.