Answer:
64 × pi m²
Step-by-step explanation:
the formulas needed for the surface area of a cone are :
base area plus the "mantle", the lateral "wall" around it.
the base area is a circle.
so, that formula is Ac = pi×r²
the "wall" formula is Aw = pi×r×s
r = radius
s = slant height = 12
the formula for the surface area of a sphere is
As = 4×pi×r²
we know now, that both surface areas are the same, and also the radius is the same for both objects.
Ac + Aw = As
pi×r² + 12×pi×r = 4×pi×r²
=>
12×pi×r = 3×pi×r²
12×pi = 3×pi×r
12 = 3×r
r = 4 m
now, we only need to use this value of r in our formulas for surface areas, like for the sphere :
4×pi×r² = 4×pi×4² = 4³×pi = 64×pi
Answer:
x = 5
Step-by-step explanation:
Given that,
NL = 5x, LM = 3x, and NL = 15
L is between M and N.
To find,
The value of x.
Solution,
It is mentioned that, L is between M and N. So,
LM = LN
Put all the values,
3x = 15
⇒ x = 5
So, the value of x is equal to 5.
Reference,
brainly.com/question/19871240
Answer:
so it is a rectangle with a perimeter of 30 units
The change of base formula allows you to write a logarithm in terms of logarithms with another base. It follows this pattern,
where a≠1 and b≠1
Assigning the base to be 7,
I hope I was able to answer your question. Have a good day.
