Answer:
4.5 feet
Step-by-step explanation:
Here, we are concerned with calculating the actual height in feet of the door given the scale used in the maps drawing.
In the scale, scale to actual is 1 inch to 2.5 feet
let 1.8 inch scale = x actual feet
Thus mathematically, by cross multiplying; we have;
x = 2.5 * 1.8 = 4.5 feet
Answer:
Area of the given figure is 51.5 square units.
Step-by-step explanation:
Area of rectangle OCBH = Length × width
= 11 × 8
= 88 square units
Area of trapezoid OGEF = ![\frac{1}{2}(b_1+b_2)\times h](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D%28b_1%2Bb_2%29%5Ctimes%20h)
= ![\frac{1}{2}(\text{GE+OF)}\times (\text{OG})](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D%28%5Ctext%7BGE%2BOF%29%7D%5Ctimes%20%28%5Ctext%7BOG%7D%29)
= ![\frac{1}{2}(3+6)\times 4](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D%283%2B6%29%5Ctimes%204)
= 18 units²
Area of trapezoid GCDE = ![\frac{1}{2}(\text{GC+DE)}\times (\text{GE})](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D%28%5Ctext%7BGC%2BDE%29%7D%5Ctimes%20%28%5Ctext%7BGE%7D%29)
= ![\frac{1}{2}(7+2)\times 3](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D%287%2B2%29%5Ctimes%203)
= 13.5 units²
Area of triangle AFH = ![\frac{1}{2}(\text{Base})\times (\text{Height})](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D%28%5Ctext%7BBase%7D%29%5Ctimes%20%28%5Ctext%7BHeight%7D%29)
= ![\frac{1}{2}(5)(2)](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D%285%29%282%29)
= 5 units²
Area of polygon ABCDEF = Area of rectangle CBHO - (Area of trapezoid OGEF + Area of trapezoid GCDE + Area of triangle AFH)
= 88 - (18 + 13.5 + 5)
= 88 - 36.5
= 51.5 units²
Therefore, area of the given polygon is 51.5 units²
B....................................................
The answer is -2x^3+10x^2
Answer:
X = 14,700
Step-by-step explanation:
you can use a calculator to get the x.
X=3816371/(27×63)