Answer:
100r^4 + 400r^3 + 600r^2 + 400r + 100
Step-by-step explanation:
Expanding ( r + 1 )^4 gives :-
r^4 + 4r^3 + 6r^2 + 4r + 1
So multiplying 100 with r^4 + 4r^3 + 6r^2 + 4r + 1 gives :-
100r^4 + 400r^3 + 600r^2 + 400r + 100
Answer: 20 oranges and 5 mangoes
Step-by-step explanation:
Define the following:
x = number of oranges
y = number of mangoes
Make the following system of equations:
x + y = 25
0.35x + 1.00y = 12.00
Solve for x:
y = 25 - x
⇒ 0.35x + 1.00(25 - x) = 12.00
⇒ 0.35x + 25 - x = 12.00
⇒ -0.65x = -13.00
⇒ x = 20
Solve for y:
20 + y = 25
y = 5
∴ 20 oranges and 5 mangoes were purchased.
Step-by-step explanation:
So the way you do this is if it says 'Find AC' and on the angle you see different letters connect then on the lines and name the angle
More that 90°= Obtuse
90° angle= 90° angle
Less than a 90° angle= isosolines angle
Answer:
B = 
*r^2
(Base of the cone)
Step-by-step explanation:
The volume of the cone is always 1/3 of the volume of a cylinder with the same radius and height.
Volume of the cylinder
V_cylin = ( *r^2 )* h
Where
r is the radius
h is the height
This means the volume of the cone is equal to
V_cone = (1/3)* ( *r^2 )* h
By looking to the equation of the problem
V=(1/3)Bh
We can easily deduce that
B = *r^2
(Base of the cone)
