Discuss the relationship between the area of a rectangle with dimensions a and b and the area of a right triangle with legs of a and b.

What will be an ideal response?


A picture may be used to show that the areas are in a ratio of 2:1

Mathematics

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Solve the problem.Find the centroid of the region enclosed between the cone with equation  and the plane with equation 

A. () = 
B. () = 
C. () = 
D. () = 

Mathematics

Solve the problem.Find the center of mass of the first-octant portion of a solid ball of radius 4 centered at the origin.

A. () = 
B. () = 
C. () = 
D. () = 

Mathematics

Translate the problem situation to a system of equations. Do not attempt to solve.Sarah Comar's Candy Store sold a total of 33 pounds of jelly beans, selling two kinds of jelly beans. The first kind was priced at $3.45 per pound, and the second was priced at $1.12 per pound. In all, $83.56 was taken in for the two types of jelly beans. How many pounds of each kind were sold? (Let x represent the number of pounds of the first kind and y represent the number of pounds of the second.)

A. x + y = 33, 3.45x + 1.12y = 83.56 B. x + y = 4.57, 3.45x + 1.12y = 83.56 C. x + y = 33, 4.57x + y = 83.56 D. x + y = 83.56, 3.45x + 1.12y = 33

Mathematics

Plot the point in a polar coordinate system.(-4, 225°)

A.

B.

C.

D.

Mathematics