A cube has sides that are all equal lengths .
Volume of a cube is S^3, where S is the length of the side.
Volume = 3^3 = 3 x 3 x 3 = 27 cubic inches.
The length of the given rectangle is 10 units.
Here, we are given that the perimeter of a rectangle is 36 units.
A rectangle is a figure with 4 sides and opposite sides equal. The perimeter of a rectangle is calculated using the given formula-
Perimeter = 2 ( length + breadth )
Here, the breadth (width) is given to be 8 units.
Let the length be x units.
Then, we can form the following equation-
Perimeter = 2( x + 8 )
36 = 2x + 16
36 - 16 = 2x
20 = 2x
2x = 20
x = 20/2
x = 10
Thus, the length of the given rectangle is 10 units.
Learn more about perimeter here-
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Answer:
Step-by-step explanation:
Fatorizam-se os denominadores.
2x - 4 = 2(x - 2)
3x - 6 = 3(x - 2)
O minimo multiplo comum dos denominadores e
2(3)(x - 2)
Answer:
(x + 4)^2 + (y - 8)^2 = 81
or
(x + 4)^2 + (y - 8)^2 = 9^2 depending on how your teacher wants it written.
Step-by-step explanation:
The standard form for a circle is
(x + h)^2 + (y + k)^2 = r^2
r is the radius.
You are given the diameter
r = d/2
r = 18/2
r = 9
So you already have the right hand side of the equation
(x + h)^2 + (y + k)^2 = 9*2
(x + h)^2 + (y + k)^2 = 81
You basically have h and k as well. They come from the center point.
h = 4
k = - 8
So the equation of the circle (and the answer) is
(x + 4)^2 + (y - 8)^2 = 81
One question remains. Why do the x and y values change signs? If you know what the distance formula is, then what you are finding is the distance r of all points on the circle from the center of the circle.
It is the distance formula that is actually the formula for the circle.
