The formula for circumference is 2 x PI x r
Using the circumference we can find the radius:
50.24 = 2 x PI x r
Multiply 2 by PI:
2 x 3.14 = 6.28
50.24 = 6.28 x r
Divide both sides by 6.28:
R = 50.24 / 6.28
R = 8
The radius is 8 units.
Answer: C, D
Step-by-step explanation:
Acute angles of right triangles are complementary, and the sine of an angle is equal to the cosine of its complement.
Answer: x = 2/3
Step-by-step explanation:
<em>Add all sides.</em>
2x-2 + 2x - 2 + x + x =
6x - 4
<em>Put " = 0 "</em>
6x-4 = 0
Add 4 to both sides.
6x-4 = 0
+4 = +4
-------------------
6x=4
You get 6x = 4 because the 4 on the left side of the equals sign cancelled out!
<em></em>
<em>NOW DIVIDE 6 FROM BOTH SIDES</em>
6x = 4
/6 /6
-----------
x= 4/6
<em>SIMPLIFY / REDUCE FRACTION</em>
4/6 divided by 2 = 2/3
2/3 is the answer !
The proof is because it has a right angle.... I think :)
Answer:
Segment JK is a chord in circle H
Line LM is a secant to circle H
Step-by-step explanation:
* Lets revise some definition in the circle
- The radius of the circle is a line segment drawn from the center of
the circle to a point on the circumference of the circle
- The chord of a circle is a line segment whose endpoints lie on the
circumference of the circle
- The secant is a line intersect the circle in two points
- The tangent is a line touch or intersect the circle in one point
* Now lets solve the problem
- In circle H
∵ JK is a segment in circle H
∵ Point J lies on the circumference of circle H
∵ Point K lies on the circumference of circle H
∴ Segment JK is a chord in circle H
∵ LM is a line
∵ LM intersect circle H in two points L and M
∴ Line LM is a secant to circle H
