15184.6
V = pi x r^ 2
H = pi x 13^2 x 28.6
1. Complementary angles are angles whose measures add up to 90°.
46° + 44° = 90°, so the angles are complementary. <em>true
</em>2. sin(x) = cos(90-x). Here's why:
<em />Sine = opposite/hypotenuse
Cosine = adjacent/hypotenuse
The side opposite one angle is the same as the side adjacent to the opposite angle.
Therefore sin(angle) = cos(opposite angle)
These can be expressed as (x) and (90-x), as we will explore in question #3.
Anyways, sin(60°) = cos(90-60°) = cos(30°), so this is <em>true
</em>
3. If we have a right triangle, it must have one right angle measuring 90°.
The angles of a triangle add up to 180°.
The other two angles' measures must add up to 90° because of this. <em>true</em><em />
4. <em>true</em><em>
</em>Use the two sides to find the third (Pythagorean theorem)
<em />Use the Law of Cosines to find each angle.
5. <em>false</em>
We need a side to know how large the triangle is going to be.
This is why triangles that share two angles are similar but not necessarily congruent.
Answer:
They are increasing at the same rate.
