Answer:
- 2–9 7π/6
- 3–7 2π/3
- 4–6 π/3
- 1–4 π/2
- 5–10 5π/6
Step-by-step explanation:
The angle between numbers on an analog clock is π/6 radians. So, the angles of interest are ...
2 to 9 : seven numbers : 7π/6 radians
3 to 7 : four numbers : 4π/6 = 2π/3 radians
4 to 6 : two numbers : 2π/6 = π/3 radians
1 to 4 : three numbers : 3π/6 = π/2 radians
5 to 10 : five numbers : 5π/6 radians
Answer:
8
Step-by-step explanation:
The formula to calculate the sum of interior angles of polygon is (n - 2)180
Where n represents number of sides
(n-2)180 = 1080 ------ Divide through by 180
(n-2)180/180 = 1080/180
n-2 = 6
n = 6+2
n = 8
A) zeroes
P(n) = -250 n^2 + 2500n - 5250
Extract common factor:
P(n)= -250 (n^2 - 10n + 21)
Factor (find two numbers that sum -10 and its product is 21)
P(n) = -250(n - 3)(n - 7)
Zeroes ==> n - 3 = 0 or n -7 = 0
Then n = 3 and n = 7 are the zeros.
They rerpesent that if the promoter sells tickets at 3 or 7 dollars the profit is zero.
B) Maximum profit
Completion of squares
n^2 - 10n + 21 = n^2 - 10n + 25 - 4 = (n^2 - 10n+ 25) - 4 = (n - 5)^2 - 4
P(n) = - 250[(n-5)^2 -4] = -250(n-5)^2 + 1000
Maximum ==> - 250 (n - 5)^2 = 0 ==> n = 5 and P(5) = 1000
Maximum profit =1000 at n = 5
C) Axis of symmetry
Vertex = (h,k) when the equation is in the form A(n-h)^2 + k
Comparing A(n-h)^2 + k with - 250(n - 5)^2 + 1000
Vertex = (5, 1000) and the symmetry axis is n = 5.
Answer:
2⋅18−18 is less than 2⋅[28−3⋅(2+4)]
Step-by-step explanation:
Installation : $1.98
carpet : $71.91
in all : $73.89
