Answer:
The volume of the sphere is 
Step-by-step explanation:
<u><em>The question in English is</em></u>
Calculate the volume in m^3 of the sphere in which the area of one of its maximum circles is 36pi m^2
we know that
The radius of the maximum circle in the sphere is equal to the radius of the sphere
Step 1
Find the radius of the maximum circle
The area of the circle is
we have
substitute and solve for r
Simplify
take the square root both sides
Step 2
Find the volume of the sphere
The volume of the sphere is
substitute the value of r
Answer:
Step-by-step explanation:
From the figure attached,
Coordinates of the vertices of the given rectangle ABCD,
A(3, 6), B(12, 6), C(12, 1) and D(3, 1)
Rule for the reflection of a point across x-axis,
(x, y) → (x, -y)
After reflection of the given rectangle across x-axis image points will be,
A(3, 6) → A'(3, -6)
B(12, 6) → B'(12, -6)
C(12, 1) → C'(12, -1)
D(3, 1) → D'(3, -1)
Now we can plot these points on the graph to get the image of rectangle ABCD.
<span>The equation yˆ=31314⋅1.06^x estimates the population of a town x years after the year 1995.
What is the estimated population of the town in the year 2000? Note that 2000 is 5 years past 1995, so x will be 5:
y (in the year 2000) = 31314*1.06^5 = 41906 (must round off to the nearest integer)</span>
Answer:
44
Step-by-step explanation:
F(x)=6(8)-4
6(8)=48-4=44
Hope this helps sry if I get it wrong.
Answer:
No; he will need to sell and additional .15 of his collection
Step-by-step explanation:
.15 is half of .3 so it can't be enough of his collection
