Answer:
180 in²
Step-by-step explanation:
Smaller octagon : larger octagon = 5 : 9
The area of the smaller octagon is 100 in2. Find the area of the larger octagon
Let x = area of larger octagon
Area of smaller octagon : Area of larger octagon = 100 in² : x in²
5 : 9 = 100 in² : x in²
5/9 = 100/x
Cross product
5 * x = 9 * 100
5x = 900
x = 900/5
= 180
x = 180 in²
The chord that goes through the center of a circle, the diameter, is the longest chord in a circle. Any other chord will be shorter than this. The farther a chord is away from the circle, the shorter it will be. This means that chord CD is shorter than chord AB.
I think each package would be $1.69. first you subtract 3.24 from 10 to get what you payed then divide that by 4 to get 1.69
Answer:
a) 5<x<25
b) x≤5 or x≥25
c) x≥5 and x≤25
Step-by-step explanation:
Given the expression the
(x - 5) (50 - 2x) to represent sofie profit based on the price per scarf, x.
a) If Sofie's profit is increasing, them the expression for her profit must be greater than zero as shown.
(x - 5) (50 - 2x)> 0
Solving the inequality:
x-5>0 and 50-2x>0
If x-5>0
x > 5 or 5<x... (1)
Similarly when 50-2x>0
50-2x>0
50>2x
Dividing both sides by 2:
50/2>2x/2
25>x or x<25 ...(2)
Combining 1 and 2
5<x<25
b) if Sofie's profit is decreasing, the profit function must be less than or equal to zero as shown;
(x - 5) (50 - 2x)≤0
Solving the inequality
x-5≤0 and 50-2x≤0
x≤5 and 50≤2x
x≤5 or 25≤x
x≤5 or x≥25
c) If Sofia is not making profit then, the function (x - 5) (50 - 2x) is equal to zero i.e
(x - 5) (50 - 2x) = 0
x - 5 = 0 or 50-2x =0
x = 5 and 50 = 2x
x = 5 and x = 25
x≥5 and x≤25
Answer:the answer D
Step-by-step explanation:
