Answer:
60 degrees
Step-by-step explanation:
C = 2(pi)r
The radius is 12 cm. We can find the circumference of a circle with radius 12 cm.
C = 2(pi)r = 2(3.14)(12 cm) = 75.36 cm
The length of the arc of the sector is 12.56 cm.
We can find the fraction this length is of the full circumference.
(12.56 cm)/(75.36 cm) = 1/6
The length of the arc of this sector is 1/6 the length of the circumference of the entire circle.
That means the angle of the sector is 1/6 the angle of an entire circle.
An entire circle has a central angle of 360 degrees.
1/6 * 360 degrees = 60 degrees
The solution is D.
By plugging the x value, 5, into the equation:
6*5=30
30+1=31
y=31
the x value is 5 and the y value is 31
(5, 31)
hope that helps!
Answer: -69q+74
Step by step:
1. Use distributive property.
8⋅10+8(−6q) + 3(−7q − 2)
Multiply 8 • 10 then -6 • 8
80 - 48q + 3(-7q - 2)
2. Use distributive property again.
80 - 48q + 3(-7q - 2)
Multiply -7 • 3 then 3 • -2
80 - 48q -21q - 6
3. Simplify
Subtract 6 from 80 then subtract 21q from -48q.
-69q + 74
8(10 - 6q) + 3(-7q - 2) = -69q + 74
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I hope this answers your question. :)
-2m+15=45
-2m=45-15
-2m=30
2m=-30
m=-15
