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:
361
Step-by-step explanation:
Write it out like.. (900-40-7)-(500-80-6)=361
Just take 9/9-4/9=5/9, we get 9/9 because that is how much fruit punch that there was when the container was full. Enjoy!=)
Answer:
y= 3
Step-by-step explanation:
1. plug in 7 - 2y for X in 2x = y = 5 it would look like this 2(7-2y) = y= 5
2. distribute the 2 with what is in the parenthesis. remember PEMDAS!! it would be 14 - 4y + y = 5
3. get the y alone. to do this subtract 14 from both sides. you will have
-4y + y = -9
4. combine the Y. you will get -3y = -9 (remember there is a 1 in front of alone variables that is how i got - 3)
5. divide to get the Y alone. that will be -9/-3 which is 3
your final answer: Y= 3
hope this helped :)
Answer:
The answer to this problem is 22.
Step-by-step explanation:
To solve this problem, we simply need to plug in the values given for a and b into the expression given and simplify.
We are given that a=3 and b=4, thus, these are the numbers we will plug in before we simplify.
2a^2 + b =
2(3)^2 + 4
Next, we should follow the rules of PEMDAS. This tells us that we should solve the parentheses first, but since there are no parentheses, we can move onto exponents.
If we simplify, we get:
2(9) + 4
Next, we should perform the multiplication.
18 + 4
Finally, we can add together the remaining terms.
18 + 4 = 22
Therefore, your answer is 22.
Hope this helps!
