The volume of a cylinder can be determined using the formula pi*h*d^2/4, which leads us to V = pi*(39 mm)(39 mm)^2 / 4 = 46,589 mm^3. Dividing the mass of 1 kg by the volume of 46,589 mm^3 results in a density of 2.1464 x 10^-5 kg/mm^3. Typically, density is expressed in kg/m^3, so we convert this by multiplying by 1x10^9, yielding a density of 21,464 kg/m^3.
Answer:Part a) 
Part b) When Jenny divides the square root of her favorite positive integer by
, the result is an integer.
Step-by-step explanation:
Let
x-------> the favorite positive integer
Part a)
1) For 
-----> the product results in an integer
thus
The number
could potentially be Jenny's favorite positive integer
2) For 
-----> the product results in an integer
thus
The number
could potentially be Jenny's favorite positive integer
3) For 
-----> the product results in an integer
thus
The number
could potentially be Jenny's favorite positive integer
Part B)
1) For 
-----> the outcome is an integer
2) For 
-----> the outcome is an integer
3) For 
-----> the outcome is an integer
Therefore
When Jenny divides the square root of her favorite positive integer by
, she obtains an integer as a result.
Answer:
A. True
Step-by-step explanation:
The Triangle Inequality Theorem establishes that the sum of two sides must exceed the length of the third side. Let’s verify this.
a + b
9 + 1 = 10>9
a + c
9 + 9 = 18>1
c + b
9 + 1 = 10>9
The answer to your question is x = 8