Answer:
Area of the walkway border is 736 ft²
Step-by-step explanation:
A rectangle is a quadrilateral (has four sides and four angles) with two pairs of opposite and parallel sides. All angles in a rectangle are 90 degrees each. Also, opposite sides are equal.
The entire pool area has a length of 60 feet and width of 40 feet. The area of the entire pool area is:
Area of entire pool = length * width = 60 feet * 40 feet = 2400 ft²
The area of entire pool
A walkaway border of 4 ft is made around the pool area. There is a decrease of 4 ft round the sides of the pool area.
Therefore length of pool = length of entire pool area - 4 feet border at left - 4 feet border at right = 60 ft - 4 ft - 4 ft = 52 ft
width of pool = width of entire pool area - 4 feet border at top - 4 feet border at bottom = 40 ft - 4 ft - 4 ft = 32 ft
Therefore the pool is 52 ft × 32 ft
Area of pool = length * width = 52 ft * 32 ft = 1664 ft²
Area of the walkway border = Entire pool area - Area of pool = 2400 ft² - 1664 ft² = 736 ft²
18). 16:80 is the ratio but in simplest form is; 5:0
19). 36:54 is the ratio but in simplest form is; 2:3
20). 12:24 is the ratio but in simplest form is; 1:2
hope that helps:D
Answer:
![y=-\frac{3}{2}x-\frac{9}{2}](https://tex.z-dn.net/?f=y%3D-%5Cfrac%7B3%7D%7B2%7Dx-%5Cfrac%7B9%7D%7B2%7D)
Step-by-step explanation:
Let the equation of the perpendicular line is,
y = mx + b
where m = slope of the line
b = y-intercept
From the graph, slope of the line passing through (0, -1) and (3, 1),
m' =
m' = ![\frac{1+1}{3-0}](https://tex.z-dn.net/?f=%5Cfrac%7B1%2B1%7D%7B3-0%7D)
m' = ![\frac{2}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7B3%7D)
To get the slope (m) of this line we will use the property of perpendicular lines,
m × m' = (-1)
m ×
= -1
m = ![-\frac{3}{2}](https://tex.z-dn.net/?f=-%5Cfrac%7B3%7D%7B2%7D)
Equation of the perpendicular line will be,
![y=-\frac{3}{2}x+b](https://tex.z-dn.net/?f=y%3D-%5Cfrac%7B3%7D%7B2%7Dx%2Bb)
x-intercept of the line is (-3) therefore, point on the line is (-3, 0)
0 = ![-\frac{3}{2}(-3)+b](https://tex.z-dn.net/?f=-%5Cfrac%7B3%7D%7B2%7D%28-3%29%2Bb)
b = ![-\frac{9}{2}=-4.5](https://tex.z-dn.net/?f=-%5Cfrac%7B9%7D%7B2%7D%3D-4.5)
Equation of the line will be,
![y=-\frac{3}{2}x-\frac{9}{2}](https://tex.z-dn.net/?f=y%3D-%5Cfrac%7B3%7D%7B2%7Dx-%5Cfrac%7B9%7D%7B2%7D)
Answer:
g = 23/16
Step-by-step explanation:
3/16 = (-5/4) + g
g = 5/4 + 3/16
g = 23/16
Your answer is C :) blessings