Answer:
2.83
Step-by-step explanation:
using the pythagorean theorem, 
≈
Answer:
60.
Step-by-step explanation:
The question is asking you which shape is the same shape as the shape displayed with the question. The shape could be bigger, smaller, flipped around, or any other different way, but it has to be the same shape.
The answer is B.
The reason why B is your answer because the shape is the same, but it's just that it is smaller. The shapes scale is just smaller, but it's still the same shape. and flipped around.
Answer:
2) 67.8°
3) 46.8°
4) 56.0°
Step-by-step explanation:
Use the right triangle trig functions
sine, cosine, or tangent and take the inverses to find the angle
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)
