Answer:
The area of the shaded region is 42.50 cm².
Step-by-step explanation:
Consider the figure below.
The radius of the circle is, <em>r</em> = 5 cm.
The sides of the rectangle are:
<em>l</em> = 11 cm
<em>b</em> = 11 cm.
Compute the area of the shaded region as follows:
Area of the shaded region = Area of rectangle - Area of circle
![=[l\times b]-[\pi r^{2}]\\\\=[11\times 11]-[3.14\times 5\times 5]\\\\=121-78.50\\\\=42.50](https://tex.z-dn.net/?f=%3D%5Bl%5Ctimes%20b%5D-%5B%5Cpi%20r%5E%7B2%7D%5D%5C%5C%5C%5C%3D%5B11%5Ctimes%2011%5D-%5B3.14%5Ctimes%205%5Ctimes%205%5D%5C%5C%5C%5C%3D121-78.50%5C%5C%5C%5C%3D42.50)
Thus, the area of the shaded region is 42.50 cm².
The answer to this question would be:
<span>The function f(x) = 9,000(0.95)x represents the situation.
After 2 years, the farmer can estimate that there will be about 8,120 bees remaining.
</span>
In this problem, there are 9,000 bees and the amount is decreased 5% each year. Decreased 5% would be same as become (100%-5%=)95% each year. Then the function should be like:
f(x)= 9,000 * 95%^ x= 9,000 * 0.95^x
If you put X=2 and X=4 the result would be:
<span>f(2) = 9,000* (0.95)^2= 8122.5 (round up to tenth will be 8120)
</span>f(4) = 9,000* (0.95)^4= 7330.5
The answer is the first one
I hope that helped
It would be helpful to draw the figure for this system. We would see that a right triangle is made where the base is equal to 100 ft and the height is equal to 25 ft. Using trigonometric functions we can easily calculate for the angle as follows:
tan (theta) = 25 / 100
theta = 14.04 degrees
A=bh/2, that is area is equal to half of the product of the base and height, so in this case:
A=(1/2)*10*24
