Given:
Height of triangular prism = 2 cm
triangular base of the prism = height = 5cm ; base 4cm
Base area = (5cm*4cm)/2 = 20cm² / 2 = 10cm²
Volume of triangular prism = base area * height
V = 10cm² * 2cm
V = 20cm³
The polar equation of an ellipse is .
The vertices of ellipse are (−1,0) and (3,0).
The polar equation of an ellipse can be represented as
where e is the eccentricity.
Eccentricity, e =
c is the distance from the center to the focus and a is the distance from the center to the vertex
⇒
⇒ c = 2
⇒
⇒ a = 1
Then, e =
⇒ e = 2
Now, the polar equation of an ellipse becomes as,
⇒ ------- (1)
Now plug in a vertex point such as (-1,0) and solve for p,
⇒
⇒ [∵ cos 0 = 1]
⇒
⇒
⇒
Thus the polar equation of an ellipse (1) becomes as,
⇒
⇒
Hence we can conclude that the polar equation of an ellipse is .
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The mom is 36
The twins are 11
1. 58-25= 33
2. 33/3= 11 <----The twins age
3. 11+25= 36 <----The moms age
Tip: whenever y equals a number, the line is horizontal and the slope is 0. if the number equals x, the line will be vertical and there is no slope.