Find the measure of a positive angle and a negative angle that are coterminal with 100° sketch of three angles labeling clearly
with directional arrows.
1 answer:
Coterminal angles are different angles that have the same terminal side.
A positive angle has one turn more around so it has a measure of 100°+360° = 460°.
A negative angle will have a measure that is represented in clockwise rotation and be equal to 100° - 360° = -260°.
We can sketch an angle of measure 100°, a positive coterminal angle and a negative coterminal angle as:
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Set the number to x.
Thus, the number is 240.
Thus, the number is 240.
*The complete question is in the picture attached below.
Answer:
756πcm³
Step-by-step Explanation:
The volume of the solid shape = volume of cone + volume of the hemisphere.
==> 270πcm³ + ½(4/3*π*r³)
To calculate the volume of the hemisphere, we need to get the radius of the hemisphere = the radius of the cone.
Since volume of cone = 270πcm³, we can find r using the formula for the volume of cone.
==> Volume of cone = ⅓πr²h
⅓*π*r²*10 = 270π
⅓*10*r²(π) = 270 (π)
10/3 * r² = 270
r² = 270 * ³/10
r² = 81
r = √81
r = 9 cm
Thus, volume of hemisphere = ½(4/3*π*r³)
==> Volume of hemisphere = ½(⁴/3 * π * 9³)
= ½(972π)
Volume of hemisphere = 486πcm³
Volume of the solid shape
= volume of cone + volume of the hemisphere.
==> 270πcm³ + 486πcm³
= 756πcm³
