Answer:
Possible dimensions are
and 
Step-by-step explanation:
Given:
Volume of a cylinder is 
To find: Dimensions of a cylinder
Solution:
Let
denote height of a cylinder.
Volume of a cylinder = 
Therefore,

One possible dimension can be
.
Also,
can be written as 
So, another possible dimension can be 
The answer:
the main formula of the circle's equation is
(x-a)²+ (y-b)² = R²
where C(a, b) is the center of the circle
R is the radius
if a point A(x', y') passes through the circle, so the equation of the circle can be written as
(x'-a)²+ (y'-b)² = R², and that is a main formula.
<span>Circle O, with center (x, y), passes through the points A(0, 0), B(–3, 0), and C(1, 2), so we have exactly three equation:
</span>
(0-x)² + (0-y)² = R², circle O passes through A
x²+y²= R²
(-3 -x)² + (0-y)² = R², circle O passes through B
(-3 -x)² + (y)² = R²
(1-x)² + (2-y)² = R², circle O passes through A
(1-x)² + (2-y)² = R²
and we know that R= OA = OC= OB,
OA=R= sqrt( (0-x)² + (0-y)² ) = OB = sqrt((-3 -x)² + (0-y)²), this implies
x²+y² = (-3 -x)² + (0-y)² , it implies x² = 9+ x² + 6x , and then -9/6=x, x= -3/2
and when OA = OC
x²+y² =(1-x)² + (2-y)² so, x²+y² =1+x²-2x +4+y²-4y, therefore -5= -2x -4y
-5= -2x -4y, when x = -3 /2 we obtain y = 2
the center is C(-3/2, 2)
Answer:
7
Step-by-step explanation:
The function is f(x) so if x is replaced with a number, that's the value that x is in the equation. In this case, it'll be -5, so go to -5 on your graph. The y value is 7.
Answer:
angle DLM= 21+50=71 degrees i think
Step-by-step explanation:
take the 2 from 2x and divide 42 by the 2 and you have your variable x solved
So we know that the length of the rectangle is 9 meters.
In order to find area of a rectangle, you multiply the length by the width.
To find the width, you divide the area by the side you do have , which is 9 meters.
72 divided by 9 is 8.
So the width 8 meters, and now to find the perimeter you must add all sides of the rectangle.
9+9+8+8 = 34.
The perimeter of the rectangular garden is 34 meters.