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.
Step-by-step explanation:
1) 165⁰
2) 180⁰
Note:FOR initial temperature check the temperature at t=0
I hope it helped you
Answer:
$2500 - 2%
$1500 - 4%
Step-by-step explanation:
Say the interest for the $2500 is x, so the interest for the $1500 is x+0.02.
As an equation, they would look like this:
2500x+1500(x+0.02)=110
Now solve
2500+1500x+30=110
4000x=80
x=0.02
That means the interest for the $2500 is 0.02, or 2%, and the interest for the $1500 is 0.04, or 4%.
Answer:
15 bags
Step-by-step explanation:
3 = 12/4
3 3/4 = 3+3/4 = 12/4 + 3/4 = (12+3)/4 = 15/4
(15/4) ÷ (1/4) = 15
First you transform the expression and then evaluate the power
