Assuming that c is the length of AB (as is usually the case in the angle-side notation for triangles):
If sin(35) = 12/c, we can transform by multiplying both sides by c, and dividing both by sin(35) to get
c = 12/sin(35)
Evaluating using a calculator gives 20.92 units.
To find the volume of a sphere, we can apply the following formula:
(4
/3)πr^3
We know the radius is 10, so we can plug that value in.
(4/3) * pi * 10^3
<h3>V = 4188.79020479in^3</h3>
The question says "exact" volume, so I've included all of the digits in the tenths and beyond place, without rounding.
We’re told that QR and RS are equal, so this is an isosceles triangle.
Meaning the two base angles must also be equal
Using this information, we know that the third angle must be 180 - (22 + 22), since the angles in a triangle add up to 180
Reflexive property of Equality is your answer!
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