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:
A. 109
Step-by-step explanation:
We know that since AB = CB, then ΔABC is isosceles.
Since AC, one of the sides of ΔABC, is on the diameter of circle D, by definition, we know that ΔABC is also a right triangle. Thus, if ΔABC is an isosceles right triangle, then ∠BAC = ∠BCA = 45°.
Draw a line connecting D to B so that we now have isosceles triangle BDC. Since arc BC is 52°, by definition of central angles, ∠BDC is also equal to 52°. Then, ∠DBC = ∠DCB = (180 - 52)/2 = 64°.
∠BCE = ∠DCB + ∠BCA
∠BCE = 64 + 45 = 109°
The answer is thus A.
<em>~ an aesthetics lover</em>
1.
60² + 30² = 4500²
Opposite corner = 67.08 ft.
//
2.
6² + 8² = 100²
The wire must be 10 ft.
//
3.
7² + 14² = 245²
The rope is 15.65 ft.
//
4.
180² + 300² = 122400²
He ran 349.85 ft.
//
I'm not too sure about question 3.
Answer:
For every $55 revenue, $3 is profit
Step-by-step explanation:
A corporation reports profit of 600,000,000
Revenue of 11,000,000,000
Therefore comparing the revenue to profit can be calculated as follows
= 600,000,000/11,000,000,000
= 6/110
= 3/55
Hence for every $55 revenue $3 out of it is the profit