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:
It is "A" or in other words the one that says (x-5)2+3 because when you graph it you can see it is the only one touching that point!
Step-by-step explanation:
The answer is 22 46/49
Answer:
= 2248/1 ÷ 98/1
= (2248 × 1) / (98 × 1)
= 2248/98
= 1124/49
<span>= 22 46/49</span>
Step-by-step explanation:
the average change rate is simply the change of the functional values in a given interval relative to the change of the input values.
in short
(f ( interval upper limit) - f (interval lower limit) ) /
(interval upper limit) - (interval lower limit)
and you know that f (x) is usually also called y (the functional result variable).
so, the upper limit is 0, the lower limit is -2.
y (or f (x)) is 6 and 10 at these points.
and we get
(6 - 10) / (0 - -2) = -4 / 2 = -2
If the scale factor of the small pool to the large pool is equal to 0.12, the ratio of their volumes should be equal to 0.12^3 or equal to 1.728 x 10^-3. We multiply this value to the given volume of the large pool to get the volume of the small pool.
volume of small pool = (1.728 x 10^-3)(15,000 m^3)
volume of small pool = 25.92 m^3
Hence, the answer is the first choice.
