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)
Easy, it is 1. I hope that helps =D
Answer:
cubic blocks
Step-by-step explanation:
The given parameters are:
Required
Number of cubic blocks to fill the tank
To do this, we simply calculate the volume of the tank by:
This gives:
Simplify
Express as mixed numbers
Answer:
I think it's d. C and D
Step-by-step explanation:
it needs to be 20 characters long so don't mind this part
I suppose we have to find the lengh of the sides.
Area = lenght × width
288 = (3x) × (2x+10)
288 = 3x (2x+10)
288 = 6x + 30x
288 = 36x
288/36 = x
8 = x
therefore the sides are
3x = 3×8 = 24 inches
2x+10 = 2×8 + 10 = 16 +10 = 26 inches
