Answer:
53 yards
Step-by-step explanation:
Let w represent the width. Then w+2 is the length, and the perimeter is ...
P = 2(L+W) . . . . . . . . . formula for the perimeter of a rectangle
216 = 2((w+2) +w) . . . . fill in values for length and width
216 = 4w +4 . . . . . . simplify
54 = w +1 . . . . . divide by 4
53 = w . . . . . subtract 1
The width of the rectangle is 53 yards.
Answer:
The correct option is;
10 m
Step-by-step explanation:
The parameters given are;
Height of the first pole = 20 m
Height of the second pole = 14 m
The angle the wire connected to their top makes with the horizontal = 30°
The vertical height subtended by the inclined wire, h = The difference in height between the two poles = 20 - 14 = 6 m.
Let the horizontal distance between the two poles = D
Therefore;
The horizontal length of the wire = D
From trigonometric ratios, we have;
![tan(30 ^{\circ}) = \dfrac{h}{D} = \dfrac{6}{D}](https://tex.z-dn.net/?f=tan%2830%20%5E%7B%5Ccirc%7D%29%20%3D%20%5Cdfrac%7Bh%7D%7BD%7D%20%3D%20%5Cdfrac%7B6%7D%7BD%7D)
Which gives;
![D = \dfrac{6}{tan(30 ^{\circ}) } = 10.39 \ m\approx 10 \ m](https://tex.z-dn.net/?f=D%20%3D%20%5Cdfrac%7B6%7D%7Btan%2830%20%5E%7B%5Ccirc%7D%29%20%7D%20%20%3D%2010.39%20%5C%20m%5Capprox%2010%20%5C%20m)
The correct option is 10 m.
Answer:
The ray is EF in this diagram ...
Answer:
4
Step-by-step explanation:
The Significant Figures are 9 8 0 7
There are 8 marbles so we want 8c2 which is 8*7/2 = 28