The radius of the circle is given to be r = 14.5
Let the center be O. So OB is the radius = 14.5
We can draw a triangle as shown in the image below. We have a right angled triangle. We know the hypotenuse and the base, we need to find the perpendicular side. This can be done using the Pythagorean theorem.
So, we can write:

Thus, the measure of OA = 10.5
OB = OA + AB
14.5 = 10.5 + AB
⇒
AB = 4
Answer:
x ≥ -3
Step-by-step explanation:
Step 1 :
Pulling out like terms :
1.1 Pull out like factors :
-4x - 12 = -4 • (x + 3)
Equation at the end of step 1 :
Step 2 :
2.1 Divide both sides by -4
Remember to flip the inequality sign:
Solve Basic Inequality :
2.2 Subtract 3 from both sides
x ≥ -3
Inequality Plot :
2.3 Inequality plot for
-4.000 X - 12.000 ≥ 0
Answer:
Quadrant 4
Step-by-step explanation:
If the given angle was positive, then we go clockwise.
But it's negative so we go counterclockwise.
An alternative way of graphing
Quadrant 1 is 0-90°
Quadrant 2 is 90-180°
Quadrant 3 is 180-270°
Quadrant 4 is 270-360°
Subtract the given angle by 360 until no longer possible
750 - 360 = 390 390 - 360 = 30
Remember that this was originally a negative angle
Instead of going clockwise to quadrant 1, we go counterclockwise to quadrant 4, ending up at 330°
To find out how much she earned hourly, all we need to do is divide 312 and 39
312 ÷ 39 = 8
Therefore, she was paid $8 per hour
Hope this helps!
6m + 6m + 15m + 15m = 42m
no 40m will not be enough