Consider the attached ellipse. Let the sun be at the right focus. Then perihelion is at right vertex on the x-axis and aphelion is at the left vertex on the x-axis.
The distances:
- from perihelion to the sun in terms of ellipse is a-c;
- from aphelion to the sun in terms of ellipse is a+c.
Then
Add these two equations:
and subtract first equation from the second:
Note that 
thus
The equation for the planet's orbit is
Step-by-step explanation:
X = 50+45 = 95 exterior angle
y =95 + 52 = 147 exterior angle
Z = 180 Straight angle
Answer:
D
Step-by-step explanation:
Lateral SA = area of the 4 triangles
Formula to be used :-
Area (triangle) = 1/2bh
=> 4 x 1/2 x 9 x 12
=> 108 x 2
=> 216 cm²
Total SA = LSA + area of the square
Formula to be used :-
Area (square) = side length x side length
=> 216 + 9 x 9
=> 216 + 81
=> 297 cm²
<u>The correct option is (D).</u>
A= 4.4 B= 0.875 should be the answers
Answer:
52 units.
Step-by-step explanation:
If we drop a perpendicular line from point C to AD and call the point ( on AD) E we have a right triangle CED.
Now CE = 6 and as the whole figure is symmetrical about the dashed line,
ED = (26 - 10)/2
= 8.
So by Pythagoras:
CD^2 = 6^2 + 8^2 = 100
CD = 10.
So, as AB = CD,
the perimeter = 10 + 26 + 2(8)
= 52.
