Answer:
angle 1 = 62 degrees. angle 2 = 45 degrees. angle 3 = 24 degrees
Step-by-step explanation:
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
(12,-24)
x intercept is 12 & y intercept is -24
Answer:
C. Claire has 10 country CDs and 5 Jazz CDs
Step-by-step explanation:
means that 10 out of 15. So we can assume that in total she has 15 CDs and 10 of them are Country and the other is Jazz.
This would rule out choice D.
If we reduce this fraction then we would have:

This means that two-thirds of her CDs are country music. So this would rule out A and B choices.
Now C is correct because 10 country plus 5 Jazz is equal to 15 CDs. So we have the correct total.
The answer is C.
1) y= - 2x² + 8x. It's a parabola open downward (a<0)
2) x - 2.23.y + 10.34 = 0 . Re-write it : y = (x/2.23) + (10.34/2.23), a linear equation.
To find the intersections between 1) & 2), let 1) = 2)
-2x² + 8x = (x/2.23) + (10.34/2.23)
-2x² + 8x - (x/2.23) - (10.34/2.23) =0 ; solve this quadratic for x values:
x' (that is A) = 0.772 & x" (that is B) = 3. (these are the values of x-intercept (parabola with line). To calculate the y-values, plug x' & x' in the equation:
for x' = 0.772, y = 0.34 → B(0.772 , 0.34)
for x" = 3, y = 0.016 → A(3 , 0.O16)
So B IS AT 0.34 Unit from the ground