Answer:
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Step-by-step explanation:
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Answer:
Step-by-step explanation:
The picture of the question in the attached figure
step 1
Let
r ---> the radius of the sector
s ---> the arc length of sector
Find the radius r
we know that
solve for r
step 2
Find the value of s
substitute the value of r
step 3
we know that
The area of complete circle is equal to
The complete circle subtends a central angle of 2π radians
so
using proportion find the area of the sector by a central angle of angle theta
Let
A ---> the area of sector with central angle theta
substitute the value of r
Convert to function notation
Answer:
the slope is 4
Step-by-step explanation:
y+3=4(x-5)
This is in point slope form
y-y1=m(x-x1)
where (x1,y1) is a point on the line and m is the slope
The slope is 4 and a point on the line is (5,-3)
Answer:
Step-by-step explanation:
Answer:
Original angle = 122*
Supplementary angle = 58*
Step-by-step explanation:
A supplementary angle is one of two angles that make up 180*
If one angle is 30*, its supplementary angle is 150*. 30 + 150 = 180.
So in this case we have two angles, the original and the supplementary angle. The original angle is 64* more than the supplementary angle. The key word is MORE.
The formula to figure it out would look like this: x + (x + 64) = 180
x is the supplementary angle
x + 64 is the original angle (64 MORE than its supplementary angle)
180 is the total measure of the two angles because they are supplementary and we know that supplementary angles always equals 180* when added together.
Take the formula and do a little algebra.
x + (x + 64) = 180
Subtract 64 from both sides
x + x = 116
Combine the x's
2x = 116
Divide both side by 2
x = 58
Remeber we know that the original angle is 64 more than the supplementary angle, so we'll add the 64 to the value of x and we get 122.
x + 64 = 122
Check our work:
x + (x + 64) = 180
58 + 58 + 64 = 180
