There are 40 girls. The answer is 40.
Answer:
2r (1 + √3)
Step-by-step explanation:
Circle O₁ is tangent to AB. Let's call the point of intersection point D. If we draw a radius from the center O₁ to D, we know this forms a right angle.
△ABC is an equilateral triangle, so we know m∠A = 60°. If we draw a line from A to O₁, we know that bisects the angle, so m∠DAO₁ = 30°.
So △DAO₁ is a 30-60-90 triangle. We can find the length AD:
AD = r √3
Now on the other side, circle O₃ is tangent to AB. Let's call the point of intersection point E. We know it's the same triangle we found earlier, so:
EB = r √3
And finally, we can draw a rectangle connecting O₁, O₃, E, and D. The distance between O₁ and O₃ is 2r, so:
DE = 2r.
Therefore:
AB = r√3 + 2r + r√3
AB = 2r√3 + 2r
AB = 2r (1 + √3)
Here's a graph showing the steps. Hopefully this helps, let me know if you have questions!
desmos.com/calculator/hgaonfzxsm
Answer:
y+4=-36 and the answer is y=-40
Step-by-step explanation:
So the word is means equals, meaning we can change it to say
"y more than 4 = -36
and more than means addition so we can put a plus sign there and we get
y+4=-36
then to solve this equation we need to get y by itself on one side and to do that we can move the 4 to the other side by subtracting it on both sides to cancel out the addition and we get y=-40
I hope this helps and please don't hesitate to ask if there is anything still unclear!
Answer:
6
Step-by-step explanation:
One person will fly a kite for each of the 6 kites Jon has.
6 people in all will fly a kite.
Answer:
Add
11 over 2
11 2 + 11 over 4 11 4 = 33 over 4 33 4
Step 1 of 2: Add. Show the work
Step 2 of 2: Simplify.
Simplify
33 over 4 33 4 = 8 and 1 over 48
1
4
Step-by-step explanation:
