Two equal rectangular lots are enclosed by fencing the perimeter of a rectangular lot and then putting a fence across its middle. If each lot is to contain 2,700 square feet, what is the minimum amount of fence (in ft) needed to enclose the lots (include the fence across the middle)
Answers
Answer:
360 feet
Step-by-step explanation:
Area = 2XY = 2 · 2,700 = 5,400
Perimeter = (2 · 2X) + 3Y = 4X + 3Y
Y = 5,400 / 2X = 2,700 / X
Perimeter = 4X + 8,100/X
P'(x) = 4 - 8,100/X² = 0
4 = 8,100/X²
X² = 8,100 / 4 = 2,025
X = √2,025 = 45
Y = 2,700 / 45 = 60
Perimeter = (4 · 45) + (3 · 60) = 180 + 180 = 360 feet
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Answers
Answer:
x-intercept = 10
y-intercept = -8
Step-by-step explanation:
To identify the y-intercept, we will need to format the equation in the form . We can start by subtracting
from both sides of the equation:
Divide both sides of the equation by the coefficient of , which is
:
The is representative of the y-intercept in
.
Identify in the equation
:
Therefore, our y-intercept is -8.
To solve for the x-intercept, replace the in the equation
with a zero:
Add to both sides of the equation:
You can go ahead and divide by
to get rid of the fraction:
Divide both sides of the equation by the coefficient of , which is
:
Therefore, our x-intercept is 10.
Answers
Answer:
13
Step-by-step explanation:
(1, 6, 3), (-5, 3, 7)
Answers
Answer:
65
Step-by-step explanation:
Answers
The common difference of the given A.P. is -2.
What is a expression? What is a mathematical equation? What is Equation Modelling? What is an arithmetic sequence?
A mathematical expression is made up of terms (constants and variables) separated by mathematical operators. A mathematical equation is used to equate two expressions. Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem. An arithmetic sequence is a sequence of numbers where the differences between every two consecutive terms is the same. The nth term of an A.P. is given by -
a[n] = a + (n - 1)d
We have the following sequence 10, 8, 6, 4, ... .
We have -
10, 8, 6, 4, ...
The common difference of the given A.P. is -
d = 8 - 10 = 6 - 8 = 4 - 6
d = - 2
Therefore, the common difference of the given A.P. is -2.
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Answer:
-2
Step-by-step explanation:
10-8=2
8-6=2
6-4=2
4-2=2
Answers
Answer:
0.25
Step-by-step explanation:
Answers
9514 1404 393
Answer:
(a) cannot be determined
(b) 44 cm^2
(c) 87 m^2
(d) 180 m^2
(e) 132 m^2
Step-by-step explanation:
(a) missing a horizontal dimension
__
(b) The difference between the bounding rectangle and the lower-left cutout is ...
(8 cm)(7 cm) -(3 cm)(4 cm) = (56 -12) cm^2 = 44 cm^2
__
(c) The difference between the bounding rectangle and the center cutout is ...
(13 m)(7 m) -(4 m)(1 m) = (91 -4) m^2 = 87 m^2
__
(d) The difference between the bounding rectangle and the two cutouts is ...
(20 m)(25 m) -(16 m)(20 m) = (20 m)(25 -16) m = (20 m)(9 m) = 180 m^2
__
(e) The difference between the bounding rectangle and the two cutouts is ...
(14 m)(12 m) -(12 m)(3 m) = (12 m)(14 -3) m = (12 m)(11 m) = 132 m^2