Answer:
The equation of the sphere in standard form is

Step-by-step explanation:
<u>Step 1</u>:-
The equation of the sphere having center and radius is

Given centered of the sphere is (-6,10,5) and radius r=5

on simplification,we get


simplify , we get

Answer:
4 yards long
Step-by-step explanation:
John's garden is 12 ft long and 3 ft go into a yard. With this information you then divide 12 by 3 to see how many yards would go into the 12. 12/3=4
Answer:
Step-by-step explanation:
This is an inverse proportion.
men = k / Time So first we need to find k
k = men * Time Substitute values
k = 15*80
k = 1200 Notice the units are man days.
Now what happens if we increase the number of men to 20? What happens to the number of days.
20 = 1200 / time Multiply both sides by time
20*time = 1200 Now divide by 20
time = 1200/20
Answer: time = 60 days
The variable is X .........
There are 32 female performers in a dance recital the ratio of men to women is 3/8 How many men are in the dance recital
But we have 32 female performers in the dance recital. Hence there are 3×4=12 men in the dance recital.