Answer:
Length ≈ 31cm
Width ≈ 10cm
Step-by-step explanation:

CHECK

Answer:
(A) The rate of change in the price of a bushel of corn in the current year is $7.
(B) The price of a bushel of corn in the current year is $2 more than the price of a bushel of corn in the previous year.
Step-by-step explanation:
The graph for the prices of different numbers of bushels of corn at a store in the current year is shown below.
Part A:
The rate of change in the price of a bushel of corn in the current year based upon the number of bushels is known as the slope of the line.
The formula to compute the slope is:

Consider the ordered pairs: (4, 28) and (10, 70)
Compute the slope of the line as follows:


Thus, the rate of change in the price of a bushel of corn in the current year is $7.
Part B:
The data for the price of bushels in the previous year is as follows:
Number of Bushels Price
2 10
4 20
6 30
8 40
Compute the rate of change in the price of a bushel of corn in the previous year based upon the number of bushels as follows:
Consider the ordered pairs: (2, 10) and (6, 30)


The rate of change in the price of a bushel of corn in the previous year is $5.
Thus, the price of a bushel of corn in the current year is $2 more than the price of a bushel of corn in the previous year.
Step-by-step explanation:
Part A :-
m(a) , m(b) & m(c) when will get combined ; they will form a straight angle (180°) .
So,
m(a) + m(b) + m(c) = 180°
=> 3x + 5 + 5x - 18 + 7x - 2 = 180°
=> 15x - 15 = 180°
=> 15(x - 1) = 180°
=> x - 1 = 180 / 15
= 12°
=> x = 12 + 1
= 13°
Using the value of x gives the value of m(a) , m(b) & m(c) .
• m(a) = 3 × 13 + 5 = 39 + 5 = 44°
• m(b) = 5 × 13 - 18 = 65 - 18 = 47°
• m(c) = 7 × 13 - 2 = 91 - 2 = 89°
Part B :-
Complementary angles are the pair of angles whose sum is 90° . Here sum of m(a) & m(b) is
44 + 47 = 91°. Hence they are not complementary angles.
You have 3 spheres inside a cylinder like for a can of tennis balls. Notice the radius of the cylinder is 3 cm, the same as the radius of the spheres, so the spheres just fit width wise, and 3 spheres height would be 6 radius lengths or 18, which is the same as the cylinder height, so the three spheres are packed to the best fit.
The volume not occupied by the spheres will be the total cylinder volume take away the three spheres volumes.
The cyinder volume with height h=18 and radius r=3 will be approx..

The volume of 3 spheres with radius r=3 will be

The volume unoccupied by the spheres inside the cylinder is the difference in those two volumes..
508.68 - 339.12 = 169.56 or 170 cubic centimeters