Answer:
30.3m^2
Step-by-step explanation:
I started off by finding the area of the semi circle. The formula πr^2 divided by 2. The radius of the circle is 2 because it is half of the diameter which is 4. So π(2)^2 divided by 2 is 6.3.
Next I broke apart the the shape into a rectangle and a triangle for simplicity sake. So doing this I had to know where to cut and if you look at the top of the figure it shows 2m for the length at the top. So I put a vertical line there. Thus changing the 10m on the bottom to a 8m section and a 2m section. So the rectangle's area will be the length times the height which is 2x4=8.
The triangle's area can be found with the equation BH/2 and we the 8 base we found and a height of 4 it is 8x4/2. Which ends up as 16.
Finally you add up all three area's that you found 8+16+6.3=30.3
That numbers is hmmm "x"
so.. for that matter, "x" is 100% then, and 188 is just the 67%
thus
Answer & Step-by-step explanation:
8.88 = 4.44(x - 7)
Distribute 4.44 to (x -7).
8.88 = 4.44x - 31.08
Add 31.08 on both sides of the equation.
39.96 = 4.44x
Divide 4.44 on both sides of the equation.
9 = x
So, the value of x is equal to 9.
Answer:
14 years.
Step-by-step explanation:
Let x represent number of years.
We have been given that a coastal geologist estimates that a certain country's beaches are eroding at a rate of 1.5 feet per year. We are asked to find the number of years, it will take for the country's beaches to erode by 21 feet.
We will use proportions to solve our given problem as proportion states that two quantities are equal:
![\frac{\text{Erosion in feet}}{\text{Number of years}}=\frac{1.5}{1}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Ctext%7BErosion%20in%20feet%7D%7D%7B%5Ctext%7BNumber%20of%20years%7D%7D%3D%5Cfrac%7B1.5%7D%7B1%7D)
Upon substituting our given values in above equation, we will get:
![\frac{21}{x}=\frac{1.5}{1}](https://tex.z-dn.net/?f=%5Cfrac%7B21%7D%7Bx%7D%3D%5Cfrac%7B1.5%7D%7B1%7D)
Let us cross multiply our equation as:
![1.5x=21*1](https://tex.z-dn.net/?f=1.5x%3D21%2A1)
![1.5x=21](https://tex.z-dn.net/?f=1.5x%3D21)
Divide both sides by 1.5:
![\frac{1.5x}{1.5}=\frac{21}{1.5}](https://tex.z-dn.net/?f=%5Cfrac%7B1.5x%7D%7B1.5%7D%3D%5Cfrac%7B21%7D%7B1.5%7D)
![x=14](https://tex.z-dn.net/?f=x%3D14)
Therefore, it will take 14 years for the country's beaches to erode by 21 feet.