Find the volume of a sphere with a diameter of 4 inches. Use 3.14 for π. Round your answer to the nearest tenth.
1 answer:
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1. , then
and triangles ADC and ACB are similar by AAA theorem.
2. The ratio of the corresponding sides of similar triangles is constant, so
.
3. Knowing lengths you could state that .
4. This ratio is equivalent to .
5. , then
and triangles BDC and BCA are similar by AAA theorem.
6. The ratio of the corresponding sides of similar triangles is constant, so
.
7. Knowing lengths you could state that .
8. This ratio is equivalent to .
9. Now add results of parts 4 and 8:
.
10. c is common factor, then:
.
11. Since you have
.
Answer:
<C=26
<B=48
<D=106
<F=42
Step-by-step explanation:
I labeled all the angles to help this make more sense :)
So first we find <C, which is supplementary to <E so just do 180-154=26
Next, we know that <F and <B are equal because they form corresponding angles.
Angles <C <D and <B form a triangle. The three angles of a triangle always equal 180. Now that we know angles <C and <B, we just do 180-26-48=106.
Lastly, to find angle A, we just take 180-106-48=42.
Hope this helps
