Area of the sector is 981.3 cm²
Step-by-step explanation:
- Step 1: Find the area of the sector where radius = 50 cm and central angle = 45°
Area of the sector = πr² (C/360), where r is radius and C is the central angle
⇒ Area = 3.14 × 50² × (45/360)
= 3.14 × 2500 × 1/8
= 7850/8 = 981.3 cm²
Use a(b-c) = ab - ac
5(x-3) + 2x = 41
5x - 15 + 2x = 41
7x - 15 = 41
7x = 56
x = 8
Answer:
How many general admission tickets were purchased? __<u>136</u>__
How many upper reserved tickets we purchased? _<u>300</u>_
Step-by-step explanation:
Let the number of general tickets = g.
Let the number of reserved tickets = r.
6.5g + 8r = 3284
g + r = 436
6.5g + 8r = 3284
(+) -8g + -8r = -3488
--------------------------------
-1.5g = -204
g = 136
g + r = 436
136 + r = 436
r = 300
Answer:
How many general admission tickets were purchased? __<u>136</u>__
How many upper reserved tickets we purchased? _<u>300</u>_
Answer: Hello there!
we have the equation a(n) = (1/2)n - 1 for n ≥ 1
First we need the first five terms:
a(1) = (1/2)*1 - 1 = -1/2
a(2) = (1/2)*2 - 1 = 0
a(3) = (1/2)*3 - 1 = 1/2
a(4) = (1/2)*4 - 1 = 1
a(5) = (1/2)*5 - 1 = 3/2
then we can see that each term is 1/2 bigger than the previous one, then a recursive relation can be written as:
a(n) = a(n-1) + 1/2
where n ≥ 2, and a(1) = -1/2
Answer:
100
Step-by-step explanation:
You are given the equation
There are 5 coefficients:
Two of them are integers
two of them are decimals with one digit after point
and one is a decimal with two digits after point
To get rid of fractions, we have to get rid of digits after point. The maximum number of digits after point is 2, then we have to multiply the equation by 100:
