Answer:
Step-by-step explanation:
As stated in the question, the probability to toss a coin and turn up heads in the first try is , in the second is , in the third is and so on. Then, P(C) is given by the next sum:
This is a geometric series with factor . Then is convergent to . With this we have proved that P(C)=1.
Now, observe that
Then
and
Answer:
Lilly only needed to cut off 15 feet.
Step-by-step explanation:
1 yard = 3 feet. Luna cut 5 yards, so she cut 15 feet off. Lilly, on the other hand, cut off 17 feet.
Answer:
Step-by-step explanation:
The shaded region is the difference of areas of semicircle AB and triangle ABC.
ABC is right triangle as AB is diameter, so C is right angle.
<u>Area of semicircle:</u>
- A = 1/2πr² = 1/2*3.14*4² = 25.12 cm²
<u>Area of triangle:</u>
- A = 1/2BC*AC = 1/2*4* = 2 = 13.86 cm²
<u>Shaded are is:</u>
- 25.12 - 13.86 = 11.26 cm²