Given :
Center of sphere , C( 1 , -1 , 6 ) .
To Find :
Find equations of the spheres with center (1, −1, 6) that touch the following planes.a) xy-plane b) yz-plane c) xz-plane .
Solution :
a)
Distance of the point from xy-plane is :
d = 6 units .
So , equation of circle with center C and radius 6 units is :
b)
Distance of point from yz-plane is :
d = 1 unit .
So , equation of circle with center C and radius 1 units is :
c)
Distance of point from xz-plane is :
d = 1 unit .
So , equation of circle with center C and radius 1 units is :
Hence , this is the required solution .
There are 4 multiples of 7 between 1 and 30, so there is 4 out of 30 tickets that are a multiple of 7. There is a 0.133 chance of pulling a <span>ticket that has a number which is a multiple of 7.</span>
Answer:
i think the answer is c
Step-by-step explanation:
Answer:
Step-by-step explanation:
A recipe for four batches of bread uses 5 cups of flour.
Firstly, we want to determine the number of cups of flour needed to produce one batch of bread. This means we want to determine the unit rate of producing batches of bread. It becomes
If four batches of bread uses 5 cups of flour,
Then 1 batch of bread will use x cups of flour
4x = 5
x = 5/4 = 1.25
1 batch of bread will require 1.25 cups of flour
Secondly, we want do determine how many batches of bread that can be made using 1 cup of flour. It becomes
If four batches of bread uses 5 cups of flour, then
y batches of bread will need 1 cup of flour
5y = 4
y = 4/5 = 0.8
1 cup of flour will produce 0.8 batch of bread
