Clare, David and Elizabeth share 90 marbles in the ratio 4: 5: 6. Calculate the number of marbles that Clare receives
1 answer:
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Answer option A
From the given graph is a Vertical ellipse
Center of ellipse = (-2,-3)
Vertices are (-2,3) and (-2,-9)
Co vertices are (-6,-3) and (2,-3)
The distance between center and vertices = 6, so a= 6
The distance between center and covertices = 4 , so b= 4
The general equation of vertical ellipse is
(h,k) is the center
we know center is (-2,-3)
h= -2, k = -3 , a= 6 and b = 4
The standard equation becomes
Foci are (h,k+c) and (h,k-c)
Plug in the a=6 and b=4
, we know h=-2 and k=-3
Foci are and
Option A is correct
Answer:
Their average speed during the entire round trip = 24 miles per hour
Step-by-step explanation:
To determine:
What was their average speed during the entire round trip?
Information Fetching and Solution Steps:
- A cyclist travels at 20 kilometers per hour when cycling uphill
- 24 kilometers per hour when cycling on flat ground
- 30 kilometers per hour when cycling downhill
On a sunny day, they cycle the hilly road from Aopslandia to Beast Island before turning around and cycling back to Aopslandia.
Let us assume that that the road is uphill one way and downhill the other way
As we know that the formula of average speed
On the way out:
Say
on the way back:
So,
As
Therefore,
= 24 miles per hour
Hence, their average speed during the entire round trip = 24 miles per hour
Keywords: speed, time, average speed
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