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Remember that the area of a circle is π*radius^2
Remember that there are 360<span>° in a circle.
</span>The angle of the unshaded part would be 360° minus the shaded part of 60<span>°.
</span>360°- 60° = 300<span>°
</span>Since the area of a circle is πr^2, and the section of the circle is 300°, or 300/360 = 5/6 or one full circle, the area of the unshaded region is
(5/6)π*radius^2
= (5/6)π*12^2
= 120π units^2
Please comment if you have any questions!
Answer:
2nd person
Step-by-step explanation:
The term second person is used to describe a clause or piece of text in which the author is not referring to himself or herself but is referring to the second person that is you. When people being addressed are referred to in a sentence, the nature of the sentence is second person.
If you want to eliminate x than multiply equation 1 by 4 and equation 2 by 3 and subtract them or,
If you want to eliminate y than mutiply equation 1 by 8 and equation 2 by 11 and subtract them.
Answer:
Step-by-step explanation:
x = 180-65 = 115°
Answer:
∠Q = 75°
Step-by-step explanation:
Start by recognizing that the triangle is isosceles (the long sides are marked as being equal-length). That means angles Q and R have the same measure.
Next, you use the fact that the sum of angles is 180° to write an equation.
∠R +∠P +∠Q = 180°
(2x +15)° +x° +(2x +15)° = 180° . . . . substitute the known values
5x +30 = 180 . . . . . . . . . . . . . . . . divide by °, collect terms
5x = 150 . . . . . . . . subtract 30
x = 30 . . . . . . . divide by 5
Then angle Q is ...
∠Q = (2x +15)° = (2×30 +15)°
∠Q = 75°
