Answer:
c² = 3² +6² - 2⋅3⋅6⋅cos 60
c = 27ft
Step-by-step explanation:
Since the angle is located in between the sides of the sides, we will use the cosine rule to get the unknown sides
Let c be the missing sides
According to the cosine rule;
c² = a²+ b² - 2abcosC
c² = 3² +6² - 2⋅3⋅6⋅cos 60
c² = 9 + 36 - 36cos60
c² = 45 - 36cos60
c² = 45 - 36(0.5)
c² = 45 - 18
c² = 27ft
Hence the missing attribute is 27ft and the required expression is c² = 3² +6² - 2⋅3⋅6⋅cos 60
Given:
2 walls - 14ft by 9ft
2 walls - 20ft by 9ft
Wall 1 & 2 = 14ft * 9ft = 126 ft² x 2 = 252 ft²
Wall 3 & 4 = 20ft * 9ft = 180 ft² x 2 = 360 ft²
Total area = 252 ft² + 360 ft² = 612 ft²
Cost of 1 single roll: $20
612 ft² ÷ 18 ft² = 34 rolls * $20 = $680
Cost of double roll: $40
612 ft² ÷ 54 ft² = 11.33 rolls ⇒ 12 double rolls
12 * $40 = $480
If Christopher opts for 1 single roll of wallpaper, he'll spend $680.
If he opts for double roll of wallpaper, he'll spend $480.
Double roll of wallpaper is the cheaper option. He'll save $200 if he'll buy the double roll of wallpaper.
Answer: a) c(x) = 0.124x + 1.1, b) 13 units
Step-by-step explanation: Revenue function = R(x) = 0.21x
Profit function = p(x) = 0.086 - 1.1
Cost function = c(x) =?
A)
Recall that profit = total revenue - total cost
Hence, total cost = total revenue - profit
c(x) = 0.21x - (0.086x - 1.1)
c(x) = 0.21x - 0.086x + 1.1
c(x) = 0.124x + 1.1
B)
Break even point is the point where total revenue equals total cost
R(x) = c(x)
0.21x = 0.124x + 1.1
0.21x - 0.124x = 1.1
0.086x = 1.1
x = 1.1/0.086
x = 12.79 which is approximately 13 units
Answer:
1890
Step-by-step explanation:
Loss = 11/2 % = 5.5 %
Cost price = 2000
Loss = 5.5% of cost price
= 5.5% * 2000
Selling price = Cost price - loss
= 2000 - 110
= 1890
