Fun, geometry disguised as probability.
That's a pentagon, which we can view as 10 right triangles with legs a and s/2 (half of s) and hypotenuse r. So area of the pentagon is
P = 10 × (1/2) a (s/2) = 10 (1/2) (3.2) (4.7/2) = 37.6
The area of the circle is πr² so the circle area is
C = π (4²) = 50.265482
The white area is the difference, C-P, and the probability we seek is the fraction of the circle that's white, so (C-P)/C.
p = (C-P)/C =1-P/C = 1-37.6/50.265482 = 0.251971
Answer: 0.25
Higher than I would have guessed from the figure.
Answer:
Option H
Step-by-step explanation:
Perimeter of rectangle= 2(length) +2(width)
100= 2(5a -22) +2[½(a +1)]
Expand:
100= 2(5a) +2(-22) +a +1
100= 10a -44 +a +1
Simplify:
100= 11a -43
+43 on both sides:
11a= 100 +43
11a= 143
Divide both sides by 11:
a= 143 ÷11
a= 13
Thus, option H is correct.
Answer:
36 minutes
Step-by-step explanation:
2 hours in minutes is 120
120-84
36 minutes
Answer:
Make me Brilliant
Step-by-step explanation:
Make me Brilliant then you are legend
Answer:
c = 4
Step-by-step explanation:
Simplifying
3c + 6 = 18
Reorder the terms:
6 + 3c = 18
Solving
6 + 3c = 18
Solving for variable 'c'.
Move all terms containing c to the left, all other terms to the right.
Add '-6' to each side of the equation.
6 + -6 + 3c = 18 + -6
Combine like terms: 6 + -6 = 0
0 + 3c = 18 + -6
3c = 18 + -6
Combine like terms: 18 + -6 = 12
3c = 12
Divide each side by '3'.
c = 4
Simplifying
c = 4