Hi, thank you for posting your question here at Brainly.
The general equation of a horizontal ellipse is
(x-h)2/a2 + (y-k)2/b2 = 1, at center (h,k) while a = semi-major axis, b = semi-minor axis. These are related through the distance of the focus from the center,c. a2 = b2 + c2.
If you draw the points on a coordinate plane, the center of the ellipse is at (0,0), so h and k equals 0. Then, the minor axis (2b) spans from 8 to -8 of the y-axis. This is equal to 16 units. Hence,
2b = 16
b = 8
b^2 = 64
The distance between the two foci is 2c. Thus,
2c = 12
c = 6
c^2 = 36
Then, a2 = 64 + 36 = 100. Substituting to the general equation:
x^2/100 + y^2/64 = 1
Answer:
x = 3
Step-by-step explanation:
You can use cross multiply.
8x = 6 x 4
8x = 24
x = 3
Answer:
4.9
Step-by-step explanation:
4 9/10
9/ 10 = 0.9
So 4.9
To work out the volume of a prism, you multiply the area of cross-section by the height (or length).
So for a cylinder, you work out the area of the circle and then multiply it by the height.
Area of circle (or cross-section) = π × radius²
= π × 0.7²
= 0.49π m²
Now to get the volume of the cylinder, you times this area of the cross-section by the height of the cylinder:
Volume = 0.49π × 1.5
= 2.3 m³ (accurate to 2 decimal places)
---------------------------------------------------------------
Answer:
The maximum volume of rainwater the cylinder can hold is:
<u> </u><u>2.3 </u><u>m³</u>
Answer:
30 minutes
Step-by-step explanation:
300/10= 30
Hope this helps! :)