How you would convert the repeating, nonterminating decimal to a fraction? Explain the process as you solve the problem.
1 answer:
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The volume of a cone uses the following formula:
Our diameter is 20 feet, so divide this by 2 to find the radius:
We now have all of our values need to fill in the formula. Plug in these values:
The volume of the cone is 1780 cubic feet.
Our diameter is 20 feet, so divide this by 2 to find the radius:
We now have all of our values need to fill in the formula. Plug in these values:
The volume of the cone is 1780 cubic feet.
m∠DWC=138°, ∠AWB = 138°, ∠AWD = 42°, ∠BWC = 42°
Solution:
Line intersect at a point W.
Given .
<em>Vertical angle theorem:</em>
<em>If two lines intersect at a point then vertically opposite angles are congruent.</em>
<u>To find the measure of all the angles:</u>
∠AWB and ∠DWC are vertically opposite angles.
Therefore, ∠AWB = ∠DWC
⇒ ∠AWB = 138°
Sum of all the angles in a straight line = 180°
⇒ ∠AWD + ∠DWC = 180°
⇒ ∠AWD + 138° = 180°
⇒ ∠AWD = 180° – 138°
⇒ ∠AWD = 42°
Since ∠AWD and ∠BWC are vertically opposite angles.
Therefore, ∠AWD = ∠BWC
⇒ ∠BWC = 42°
Hence the measure of the angles are
m∠DWC=138°, ∠AWB = 138°, ∠AWD = 42°, ∠BWC = 42°.