Answer:
x = ±4
Step-by-step explanation:
3x^2 =48
Divide by 3
3x^2/3 = 48/3
x^2 = 16
Take the square root of each side
sqrt(x^2) = ±sqrt(16)
x = ±4
4,248 times 0.90 equals 3823.2; so 3823.2 students are enrolled.
Answer:

Step-by-step explanation:
The area of a rectangle is equal to
, where
is the length of the rectangle and
is the width of the rectangle. In a rectangle, opposite sides are equal.
Therefore, we can write the following system of equations:

Expand the first equation:

Substitute the second equation into the first (
):

Solving for
:

Answer:
( -
/2 , -1/2)
Step-by-step explanation:
-210 degrees in standard position corresponds to an angle in the 3rd quadrant 30 degrees below the negative x-axis
The hypotenuse of the triangle here is 1, and we want the coordinates.
_______________________(0,0)
|(x = -root(3)/2)
|
| (y = -1/2)
Answer:
V = 43323 mm³
(second answer is already correct)
Step-by-step explanation:
these pennies make up the shape of a cylinder, so, we can solve this question by solving for the volume of a cylinder.
the volume of a cylinder can be found with the formula:
V = πr²h
(V = volume ; π = pi ; r = radius ; h = height)
We know the diameter of this cylinder is 19.05 mm. Diameter is two times the length of the radius, (diameter is all the way across, radius is from center to outer / halfway across) meaning that we can find the radius by dividing 19.05 by 2.
diameter = 19.05
radius = 19.05 / 2 = 9.525
so, r = 9.525
we also are given the height of this cylinder, 38 mm
so, h = 38
π = 3.14159 (π is a constant)
plugging our measurements into the volume formula:
V = πr²h
V = (3.14159)(9.525²)(38)
V = (3.14159)(362.9025)(38)
V = 43323.4894628
[rounded to V = 43323 mm³]
And yes, the volume is not affected by a change in shape. (you are correct)
hope this helps!!