To answer this, we need to start with the standard equation for an ellipse:
(x^2/a^2)+(y^2/b^2)=1
Where a is one half of one axis, and b is one half of the other.
The problem states that one axis is 1057 ft, and the other is 880 ft, so divide these values by 2 and square them. This results in:
(x^2/279,312.25)+(y^2/193,600)=1
For verification, if you have a graphing calculator, solve for y, set the size of the window so it should perfectly fit the ellipse, and check (it does)
Answer:
x=4
Step-by-step explanation:
12 * X+3=51
Subtract 3 from each side
12x +3-3 = 51-3
12x = 48
Divide by 12
12x/12 = 48/12
x = 4
Perimeter of rec. = 2 ( l + w )
Given: perimeter of rectangle = 322m, length = 86m
Required: width = ?
Solution: 322 = 2 ( 86 + w )
Divide 322 by 2 ie, 322/2 = 86 + w
Will be equal to 161 = 86 + w
Therefore Width= 161 - 86 = 75
Cylinder: First you need to find the radius. To do that, you need to divide the diameter by 2
Then, you multiply it by itself
After that, you multiply it by the height
And finally multiply it by pi
Cone: First, you need to find the radius dividing the diameter by 2
Then, multiply it by itself
After that, divide the height by 3
Finally, multiply the radius times the height and then multiply it by pi
The answer to the cylinder is 251.2 and the answer to the cone is 251.2
The processes are the following:
Cylinder
D:8
R:4
V:π4^2*5
V:π16*5
V:80π
V:251.2
Cone
D:8
R:4
V:π4^2 15/3
V:π16*5
V:80π
V:251.2
