Answer:
Below in bold.
Step-by-step explanation:
This is a regular polygon so all sides are congruent, therefore:
The perimeter of the polygon = 6*34 = 204 units.
We can divide the polygon into 6 conguent triangle with height 30 and base 34.
So area of 1 triangle = 1/2*34*30 = 510.
So area of the polygon = 6 * 510 = 3060 unit^2.
Perimeter of the polygon = 6*34 = 204 units.
First convert to feet
3in=3/12=1/4ft
5.5in=5.5/12ft
1:30
multiply scale by 30
1/4ft times 30=30/4=15/2=7.5ft
5.5/12ft times 30=165/12=13.75ft
multiply them
7.5ft times 13.75ft=103.125 ft^2
closest is option D
Answer:
L(x) = 11 - 2x
W(x) = 8.5 - 2x
V(x) = 4x³ - 39x² + 93.5x
Step-by-step explanation:
If a square of x sides length is cut from each corner of the sheet, then it meas the length and width of the box a shortened by x inces from each side, giving a total subtraction of 2 times x inches.
FORMULA FOR LENGTH:
Since, Length is the bigger side of the box. Therefore, it will be taken on 11 inches side of the paper:
<u>L(x) = 11 - 2x</u>
FORMULA FOR WIDTH:
Since, width is the smaller side of the box. Therefore, it will be taken on 8.5 inches side of the paper:
<u>W(x) = 8.5 - 2x </u>
FORMULA FOR VOLUME:
Volume is the product of length, width and time:
V(x) = L(x)*W(x)*H(x)
Height must be equal to the side folds which are equal to length of the side of square = x:
H(x) = x
Therefore,
V(x) = (11 - 2x)(8.5 - 2x)(x)
V(x) = (93.5 -22x -17x + 4x²)(x)
<u>V(x) = 4x³ - 39x² + 93.5x</u>
An integer cannot be rational or irrational. Real numbers are either rational or irrational.
Answer:
YES
Step-by-step explanation:
If 18/22 is expressed in simplest terms. that is if both the numerator and denominator is divided by 2. It gives 9/11
We can determine if they are the same by multiplying both fractions by 100
9/11 x 100 = 81.8
18/22 x 100 = 81,8
they yield the same number, thus the records are the same
