Answer:
149 degrees
Step-by-step explanation:
<u>Higher value: </u>
114
<u>Lower value:</u>
-35
<u>Finding the difference:</u>
114 - (-35)
114 + 35
149
Is that considered two equations?
Answer:
Radius = 8 units
Length of arc AB = 8.37758 units
Step-by-step explanation:
The sector COD is 1/4 the size of the circle.
the vertex angle is 90° and a circle has 360° at the center.
So the area of sector COD/area of Circle = 90/360 = 1/4
This means the area of the circle is 4 * 50.24 = 200.96 square units
Area of circle = πr² where r is the radius
πr² = 200.96
r² = 200.96/ π = 63.9676 ≅ 64
Therefore r = √64 = 8 units
The circumference of the circle is 2πr = 16π units
arc AB has a vertex angle of 30°.
30°/360° = 1/6
So the length of the arc is 1/6th the circumference of the circle =
(1/6) * 16π = 2.67π units or 8.37758 units
Answer:
C
Step-by-step explanation:
The first number on the mechanic's list is the one that is most negative. The negative numbers on the list are ...
-3/16, -1/4, -1/16
These are easier to compare if they have a common denominator:
-1/4 = -4/16
So, the numbers are ...
-3/16, -4/16, -1/16
The one that is most negative is -4/16 = -1/4. Only one answer choice has this listed first. (No further work is necessary.)