Answer:
Area of the shaded region = 23.33 in²
Step-by-step explanation:
Area of a sector = 
Where θ = Central angle subtended by an arc
r = radius of the circle
Area of the sector BCD = 
= 52.36 in²
Area of equilateral triangle BCD = 
= 
= 
in²
= 43.30 in²
Area of the shaded portion in ΔBCD = 52.36 - 43.3
= 9.06 in²
Area of sector CAD = 
= 39.27 in²
Area of right triangle CAD = 
= 
= 
= 25 in²
Area of the shaded part in the ΔACD = 39.27 - 25
= 14.27 in²
Area of the shaded part of the figure = 9.06 + 14.27
= 23.33 in²
Answer:
Step-by-step explanation:
Similar figures have the same shape but the same size.
Moving from left to right:
The first figure is similar because the ratio is 6:14 which is the same as the figure 3:7.
The second figure is not similar because of shape
The third figure is is not similar because the ratio is 6:12 which is not the same as the figure 3:7
The fourth figure is similar because it is rotated
The fifth figure is not similar because of shape
The sixth figure is not similar because of the ratio of 2:3.5 which is not the same as the figure's ratio of 3:7
After the first 18 years, the population of 1500 will be doubled to 3000.
After the next 18 years, making 36 years total, the population of 3000 will double to 6000.
Answer:
x=47
Step-by-step explanation:
We can use the triangle bisector theorem
TK TV
----------- = -----------
YK YV
Substituting what we know
87.5 77
----------- = -----------
x-22 22
Using cross products
87.5 * 22 = 77 *(x-22)
Distribute
1925 =77x - 1694
Add 1694 to each side
1925 + 1694 =77x - 1694+1694
3619 = 77x
Divide by 77
3619/77 = 77x/77
47=x
You would go through 4.5 bottles
