R = v/4
because:
v = 4r
v/4 = 4r/4 the fours cancel out and you are left with r
therefore v/4 = r or r = v/4
7 lb will cover an area of 1 square foot, while 315 lb will cover an area of 45 square feet.
From given question,
252 lb = 36 ft² ..........(1)
The number of pound for an area of 1 square foot is calculated as follows:
x = 1 ft² .......(2)
The area and the amount of gravel are illustrations of proportions.
From (1) and (2) we get an equation,
⇒ x × 36 = 252 × 1
⇒ x = 252/36
⇒ x = 7 lb
We need to find the area that could be covered with 315 lb of gravel
The area to be covered with 315 lb gravel is calculated as follows:
315 lb = y ............(3)
From (1) and (3) we get an equation,
⇒ y × 252 = 36 × 315
⇒ y = 45 ft²
Therefore, 7 lb will cover an area of 1 square foot, while 315 lb will cover an area of 45 square feet.
Learn more about the proportions here:
brainly.com/question/13114933
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Point-slope form of a line: we need a point (x₀,y₀) and the slope "m".
y-y₀=m(x-x₀)
slope intercept form :
y=m+b
m=slope
If the line is parallel to y=2/3 x-0, the line will have the same slope, therefore the slope will be: 2/3.
Data:
(8,4)
m=2/3
y-y₀=m(x-x₀)
y-4=2/3(x-8)
y-4=2/3 x-16/3
y=2/3 x-16/3+4
y=2/3 x-4/3 (slope intercept form)
Answer: The equation of the line would be: y=2/3 x-4/3.
if we have the next slope "m",then the perendicular slope will be:
m´=-1/m
We have this equation: y=2/3 x+0; the slope is: m=2/3.
The perpendicular slope will be: m`=-1/(2/3)=-3/2
And the equation of the perpendicular line to : y=2/3 x+0, given the point (8,4) will be:
y-y₀=m(x-x₀)
y-4=-3/2 (x-8)
y-4=-3/2 x+12
y=-3/2x + 12+4
y=-3/2x+16
answer: the perpendicular line to y=2/3 x+0 , given the point (8,4) will be:
y=-3/2 x+16
Answer:
<h3>
A = 0.5(2x+6)(6x+13) = 6x² + 49x + 78</h3>
Step-by-step explanation:
H = 2x+6 - the hight
3H = 3(2x+6) - triple the hight
3H-5 = 3(2x+6) - 5 - five less than triple the height
Area of triangle: A = 0.5BH
B = 3(2x+6)-5 = 6x + 18 - 5 = 6x + 13
H = 2x+6
So:
A = 0.5(2x+6)(6x+13) = (x+6)(6x+13) = 6x² + 13x + 36x + 78
A = 6x² + 49x + 78
The correct answer is the 2nd choice because -1/6 is closer to 0 and the surface of the pool would be considered 0. -4/6 is farther away from 0 so it is less.
