Answer:
The lateral height of the square pyramid is 
Step-by-step explanation:
step 1
Find the surface area of the cube
The surface area of the cube is equal to
where
b is the length side of the cube
w have
substitute
step 2
Find the lateral height of the square pyramid
we know that
the surface area of the square pyramid is equal to
where
B is the area of the base
b is the base of the lateral triangle (base of the square)
h is the lateral height of the square pyramid
-----> is the same surface that the cube
substitute the values and solve for h
Hello there.
First, assume the numbers 
such that they satisties both affirmations:
- The sum of the squares of two numbers is
. - The product of the two numbers is
.
With these informations, we can set the following equations:
Multiply both sides of the second equation by a factor of 
:
Make 
We can rewrite the expression on the left hand side using the binomial expansion in reverse: 
, such that:
The square of a number is equal to 
if and only if such number is equal to , thus:
Substituting that information from 
in 
, we get:
Calculate the square root on both sides of the equation:
Once again with the information in , we have that:
The set of solutions of that satisfies both affirmations is:
This is the set we were looking for.
Answer:
10¹⁸
Step-by-step explanation:
Ten to the power of x, has x many zeroes behind 1
The original numbers had 18 digits. So, 10¹⁸ is the smallest number that would exceed the original number
0,2,3 is the domain and 50,80,95 is the range
