Option B:
The perimeter of the figure is 16 + 2π.
Solution:
The clear image of the question is attached below.
Diameter of the semicircle = 7 – 3 = 4
Radius of the semicircle = 4 ÷ 2 = 2
Perimeter of the semicircle = 
In figure, one side of the semicircle is merged with rectangle, so remove two radius from the perimeter of the semicircle.
Perimeter of the semicircle =

= 2π units
Perimeter of the rectangle given = 3 + 7 + 3 + 3
= 16 units
Perimeter of the given figure = 2π + 16
= (16 + 2π) units
Hence the perimeter of the figure is 16 + 2π.
Option B is the correct answer.
Answer:
x-intercept: (3, 0)
y-intercept: (0, -10)
Step-by-step explanation:
<u>X-intercept:</u>
We can see that the line crosses the x-axis at the 3. Let's imagine that this automatically makes a point. If the point is directly on the line, that means that the opposite coordinate (in this case, the y-coordinate) will be 0. This is because the point is directly at the 0 on the y-axis; it doesn't go up nor down.
<u>Y-intercept:</u>
The same goes for the opposite coordinate: if we picture a point at where the line intercepts the y-axis, there will be a point at -10 on the y-axis. Since the point is directly at 0 on the x-axis (meaning that it doesn't go left nor right) we know that the x-coordinate will be 0.
Answer:
18 : 39
Step-by-step explanation:
36 to 78
Divide both sides by 2.
=> 18 : 39
Answer:
Number of cinammon = 12
Number of chocolate = 21
Step-by-step explanation:
Given that:
Cost of Cinnamon candle , c = $3.50
Cost of chocolate candle , d = $2.50
Total amount raised, T = $94.50
d = 2c - 3
Total amount = (cost of Cinnamon * number sold) + (cost of chocolate * number sold)
94.50 = (3.50 * c) + (2.50 * (2c-3))
94.50 = 3.50c + 5c - 7.5
94.50 = 8.50c - 7.5
94.50 + 7.5 = 8.50c
102 = 8.50c
c = 102 / 8.50
c = 12
d = 2c - 3
d = 2(12) - 3
d = 24 - 3
d = 21