Answer:
13 + 
or
22.43398... (depends on how you round it)
Step-by-step explanation:
1. The question stated that the radius of the circle O is 5, so the length of AO and CO is 5.
2. Since line AB and line CB are both tangent to the circle, they have the same length. CB is 8, so AB will also be 8.
--> Both triangle AOB and COB share one side, and the other side (radius) has the same length, so the third side must be the same length
3. Tangent means having a 90-degree angle with the radius. We know that the triangle AOB is a right triangle since the angle OAB is 90 degrees.
We can use the Pythagorean theorem to find side OB. OB^2 = AO^2 + AB^2.
--> OB^2 = 25 + 64
--> OB^2 = 89
--> OB =
Now that we know the lengths of all three sides, we can add them up.
--> 5 + 8 +
--> 13 +
or
--> 22.43398113....
Answer:
50
Step-by-step explanation:
.25 goes into 100 4 times, 50 goes into 200 4 times :)
Answer:
42÷14=3
evey kid will get 3 candies with no leftover.
I agree. The answer is choice B
=========================================================
f ' (1) is shown to be positive
f ' (2) is shown to be positive as well
There are no critical values between x = 1 and x = 2, so f ' (x) is positive on the interval 1 < x < 2, so f(x) is increasing on this interval
All of this points to either choice A or choice B
--------------------------------
Similarly,
f ' (3) is negative
f ' (4) is negative
so f ' (x) is negative where 3 < x < 4 due to no other critical values being between x = 3 and x = 4
Based on these facts alone, the answer is either choice B or choice D
But we know that it can't be choice D as we determined it was between A and B. This rules out choice D
So all that's left is choice B
