2.54 * 12=30.48, so 30.48 in one foot, then multiply that by three for a yard, so for a yard it is 91.44 .
Answer:
Step-by-step explanation:
The least number of degree is 3 and the third root should be (4 - i) to make polynomial rational.
<u>The polynomial is:</u>
- (x - 3)(x - (4 + i))(x - (4 + i)) =
- (x - 3)(x² -x(4 + i + 4 - i) + (4 + i)(4 - i)) =
- (x - 3)(x² - 8x + 16 - (-1)) =
- (x - 3)(x² - 8x + 17) =
- x³ - 8x² + 17x - 3x² + 24x - 51 =
- x³ - 11x² + 41x - 51
Hi there!
10. the number: x
4 more = addition
5 times = multiplication
less then 54 = 54 >
4 + 5x = <54
Hope this helps!
The area of a polygon is given by the formula Area = ap/2 where a is the length of the apothem and p is the perimeter. The apothem is a line from the center of the polygon perpendicular to a side.
Depending on the formula you know, you can find the length of a side in 1 of 2 ways.
The first way uses a triangle. Using the radius of the polygon you can create 8 congruent triangles. The center angle will be 360 / 8 = 45 and two side lengths of 20. You can find the length of the base using the law of cosines.
c^2 = 20^2 + 20^2 - 2(20)(20)(cos 45)
c^2 = 400 + 400 - 800(cos 45)
c^2 = 800 - 800(cos 45)
c = sqrt(800 - 800(cos 45)
c = 15.31
The second way is to use this formula:
r = s / (2 sin(180 / n))
20 = s / (2 sin(180/8)
(20)(2)sin(22.5) = s
(40)sin(22.5) = s
s = 15.31
We need to calculate the perimeter. As there are 8 sides (8)(15.31) = 122.48
Now we need to calculate the apothem using
a = S / (2 tan (180 / n)
a = 15.31 / (2 tan (180 / 8))
a = 18.48
Now solve for the area
Area = ap/2
Area = (18.48)(122.48)/2
Area = 1131.72
perimeter = 122.48
area = 1131.72
