The results of an analysis, on the makeup of garbage, done by the Environmental Protection Agency was published in 1990. Some of the results are given in the following table, which for various years gives the number of pounds per person per day of various types of waste materials.
Answer:
![The \ area \ of \ the \ figure = 4\dfrac{1}{2} \cdot \pi + 18 \ cm^2](https://tex.z-dn.net/?f=The%20%5C%20area%20%5C%20of%20%5C%20the%20%5C%20figure%20%3D%204%5Cdfrac%7B1%7D%7B2%7D%20%5Ccdot%20%5Cpi%20%2B%2018%20%5C%20cm%5E2)
Step-by-step explanation:
Given that the figure is made up of portion of a square and a semicircle, we have;
BC ≅ AB = 6 cm
The area of semicircle BC with radius BC/2 = 3 is 1/2×π×r² = 1/2×π×3² = 4.5·π cm²
Triangle ABC = 1/2 × Area of square from which ABC is cut
The area of triangle ABC = 1/2×Base ×Height = 1/2×AB×BC = 1/2×6×6 = 18 cm²
The area of the figure = The area of semicircle BC + The area of triangle ABC
The area of the figure = 4.5·π cm² + 18 cm² =
.
Answer:
Closure Property of Addition
Step-by-step explanation:
Step-by-step explanation:
We have,
If a quadratic equation with real coefficients has a discriminant of -36.
The general form of quadratic equation is :
![ax^2+bx+c=0](https://tex.z-dn.net/?f=ax%5E2%2Bbx%2Bc%3D0)
The discriminant of this equation is : ![D=b^2-4ac](https://tex.z-dn.net/?f=D%3Db%5E2-4ac)
If D=0, it will have 1 real roots
If D>0, it will have 2 real roots
If D<0, it will have no real roots
We have,
D = -36 < 0, so, the quadratic equation will have no real roots.
Answer:
154 in^3
Step-by-step explanation:
to find a volume of a rectangular prism all you have to do is multiply the length, width and height
so for this
11(7) = 77
77(2) = 154