Answer:
15.0
Step-by-step explanation:
Let's start by looking at triangle ORQ. Since RQ is tangent to the circle, we know that angle ∠ORQ is 90°. Then, since OR is equivalent to the radius of 5, RQ is 5√3, and side OQ is clearly larger than RQ, we can identify this as a 90-60-30 degree triangle. This makes side OQ have a length of 10, and angle ∠QOR, opposite of the second largest side, has the second largest angle of 60°, leaving ∠OQR with an angle of 30°.
The formula for the chord length is 2r*sin(c/2), with c being the angle between the two points on the circle (in this case, ∠QOR=∠NOR).. Our radius is 5, so the length of chord NR is 2*5*sin(60/2)=5, making our answer 5(ON)+5(OR)+5(RN)
Answer:
<h2><u><em>
100 in³</em></u></h2>
Step-by-step explanation:
A cube has a surface area of 60 in2. Find the volume in in3.
- we find the area of one of the 6 squares that make up the cube
60 : 6 = 10 in²
- with the inverse formula we find the side
√10 = 3,162277660168379
- we find the volume with the formula Volume = l³
3,162277660168379³ =
99,99999999999996
round
<u><em>100in³</em></u>
Answer:
(0, -2), (1, 2), (2, 6), (3, 10)
Step-by-step explanation:
Plug in any values for x and solve the right side to get the y value.
4x^2 + 8x - 21 =
(2x - 3)(2x + 7) <==
