Artemis has six boards cut in various lengths as shown she wants to use three of them to frame a triangular window in her new cl
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Answer:
V = 10,240mm^3
Step-by-step explanation:
The volume of pyramid is given by the following formula:
(1)
b: base of the pyramid = (32mm)^2
h: height
Thus, it is necessary to find the value of h, by using the Pitagoras's theorem, one half of the base and the slant height (which forms a rectangle triangle with h):
by replacing in (1) you obtain:
hence, the volume is 10240mm^3
The vertex of the parabola is at (0,0), and the focus is at (0,-7).
The focus is given by the following values:
h and k represent the x and y values of the vertex. We want to solve for p.
Set the y value for the focus equal to -7:
We know that k = 0, so we can simplify to get p by itself:
Standard form of a vertical parabola is given by the following formula:
Plug in all of your known values into the formula:
The answer is "y^2 = -28x".
The focus is given by the following values:
h and k represent the x and y values of the vertex. We want to solve for p.
Set the y value for the focus equal to -7:
We know that k = 0, so we can simplify to get p by itself:
Standard form of a vertical parabola is given by the following formula:
Plug in all of your known values into the formula:
The answer is "y^2 = -28x".