The dimensions of the pool is 15m by10m
<h3>Area and perimeter of rectangle</h3>
A pool is rectangular in nature. If a rectangular swimming pool has an area of 150 square meters and a perimeter of 50 meters, then;
lw = 150
2(l+w) = 50
l + w = 25
where
l is the length
w is the width
From the equation 3
l = 25 - w
Substitute into 1
(25-w)w = 150
25w-w² = 150
w²-25w+150 = 0
w²-10w-15w+150 = 0
Factor
w(w-10)-15(w-10) = 0
w = 10 and 15
l = 150/10 = 15
Hence the dimensions of the pool is 15m by10m
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Answer:
A , B , C
Step-by-step explanation:
1) find the slope of the given line
slope = (-a/b) = (-8/4) = -2
two parallel lines have the same slope
A : correct
B : (-a/b) = -16/8 = -2 (correct)
C : correct
D : wrong (2 is different from -2)
By definition, the volume of a cylinder is given by:
V = π * r ^ 2 * h
Where,
r: cylinder radius
h: height
Clearing h we have:
h = (V) / (π * r ^ 2)
Substituting values:
h = (36π) / (π * 3 ^ 2)
h = (36π) / (9π)
h = (36π) / (9π)
h = 4 cm
Answer:
The height of the liquid will be in the new cylinder about:
h = 4 cm
PART A:
The generic equation of the line is:
y-yo = m (x-xo)
First we look for the slope of the line:
m = (y2-y1) / (x2-x1)
m = ((5000) - (6000)) / (4-3)
m = -1000
Then, we substitute any point in the generic equation:
(xo, yo) = (4, 5000)
Substituting:
y-5000 = (- 1000) (x-4)
Rewriting:
y = -1000x + 4000 + 5000
y = -1000x + 9000
The equation is:
y = -1000x + 9000
PART B:
For the price of 3.50 we have:
y = -1000 * (3.5) +9000
y = 5500
