Can you let me know when you get the answer?
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: 30 minutes
Step-by-step explanation: First we can reduce the fraction 2/4 by dividing the numerator and the denominator by the greatest common factor of 2 and 4.
Since the factors of 2 are 1 and 2 and the factors of 4 are 1, 2, and 4, the greatest common factor of 2 and 4 is 2. So we divide the numerator and the denominator of 2/4 by 2 and we get the equivalent fraction 1/2.
Now we can change the question to say <em>1/2 of an hour is how many minutes?</em>
We know that 1 hour is equivalent to 60 minutes so half of 1 hour would be 30 minutes.
Therefore, 2/4 of an hour is 30 minutes.
The following answer to this equation is LCD = 24
Students who like action movies: 3/4 x 2/3 = 1/2 of the fifth grade class students
Students who like comedies: 1/2 x 4/5 = 2/5 of the fifth grade class students
