For the perimeter you have to consider the EXTERNAL SHAPE ONLY:
a) the perimeter of half a circle WITHOUT ITS DIAMETER is:
π.R - 2R → 3.14x1.5 - 2x1.5 → 1.71 cm
b) the perimeter of the rectangle WITHOUT THE UPPER SIDE is:
2.5+3+2.5 = 8 cm
Hence the perimeter of the figure is 1.71 + 8 = 9.71 cm
2) Area of the figure:
Area of half circle is π.R²/2 →3.14 x (1.5)²/2 → Area half circle = 3.5325 cm²
Area of rectangle = 2.5 x 3 = 7.5 cm²
Total area = 3.5325 + 7.5 = 11.0325 ≈ 11 cm²
Answer: the number of cookies sold must be greater than or equal to 800
Step-by-step explanation:
Let x represent the number of cookies made and sold in a month.
The cookie factory has a fixed cost of $300 per month plus $.45 for each cookie. This means that the total cost of producing x cookies in a month would be
300 + 0.45x
Each cookie sells for $.95. This means that the total revenue from selling x cookies would be
0.95x
Profit = Revenue - cost
Therefore, the number of cookies that must be sold during one month for the profit to be at least $100 would be
0.95x - (300 + 0.45x) ≥ 100
0.95x - 300 - 0.45x ≥ 100
0.95x - 0.45x ≥ 100 + 300
0.95x - 0.45x ≥ 100 + 300
0.5x ≥ 400
x ≥ 400/0.5
x ≥ 800
9514 1404 393
Answer:
128 ft
Step-by-step explanation:
The height of the tower above eye-height is related to the angle by ...
Tan = Opposite/Adjacent
tan(72°) = (tower height above eye height)/(40 ft)
tower height above eye height = (40 ft)×tan(72°) = 123 ft
Since eye height is 5 ft, the total height of the tower from the ground is ...
tower height = eye height + height above eye height
tower height = 5 ft + 123 ft
tower height = 128 ft
Answer:
$12
Step-by-step explanation:
36÷3=12
Each ticket costs $12
