The angle measured from the normal to the mirror will be
.. arctan(14/11.5) ≈ 50.6°
Answer: $1800
The theater income will be the total of audience multiplied by the ticket cost. To answer this question, you need to determine the total audience count. Assuming all the seats are occupied then:
Total audience= row of seats x seats/ row = 20x18 people = 360 people
After that the income would be:
Income = audience x ticket cost
Income= 360 people x $5 / people= $1800
We know that
if <span>the probability of hitting the blue circle is the same as the probability of hitting the green region
then
the area of the blue circle is equal to the area of the green region
Let
x----> diameter of the blue circle
area of the blue circle=pi*(x/2)</span>²----> (pi/4)*x² m²-----> equation 1
area of the green region=area of the larger circle-area of the blue circle
area of the green region=pi*(1/2)²-(pi/4)*x²
=(pi/4)-(pi/4)*x² m²----> equation 2
equate equation 1 and equation 2
(pi/4)*x²=(pi/4)-(pi/4)*x² -----> divide by (pi/4)---> x²=1-x²
2x²=1-----> x²=1/2----> x=1/√2-----> x=√2/2 m
the diameter of the blue circle is √2/2 m
28÷4=7
so 7<span>deliveries per hour</span>
Answer:
120 different ways
Step-by-step explanation:
For the first lunch, Emilce has 5 options to choose,
In the second lunch, now she has only 4 options, as one was already chosen.
Then, in the third lunch, she has 3 options.
In the fourth lunch, she has 2 options.
In the last lunch, she has just 1 option.
So, the number of different ways she can order her lunches in the week is:
5 * 4 * 3 * 2 * 1 = 120
She can order in 120 different ways.
