If N is a positive integer, it must be either even or odd.
If N is odd, then N-1 will be even.
If N is even, then N-1 will be odd.
Either way, when you multiply n and n-1, one of those expressions is going to be an even number, and any number multiplied by an even number is an even number.
Hope this helps! :)
Answer:
tan 30 = x / 15
General Formulas and Concepts:
<u>Trigonometry</u>
- [Right Triangles Only] SOHCAHTOA
- [Right Triangles Only] tanθ = opposite over adjacent
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify variables</em>
Angle θ = 30°
Opposite Leg = <em>x</em>
Adjacent Leg = 15
<u>Step 2: Solve for </u><em><u>x</u></em>
- Substitute in variables [tangent]: tan 30 = x / 15
Answer:
$7.20*(1.05)*5
$37.80
Step-by-step explanation:
In one month, there are on average 30 days.
So if he talks 135 minutes per month, he talks on average 135/30 minutes per day
135/30 = 4.5
So on average he talks to his grandfather for 4 minutes and 30 seconds a day.
<u>Given</u>:
Given that the radius of the cylinder is 4 cm.
The height of the cylinder is 9 cm.
We need to determine the volume of the cylinder.
<u>Volume of the cylinder:</u>
The volume of the cylinder can be determined using the formula,

where r is the radius and h is the height of the cylinder.
Substituting π = 3.14, r = 4 and h = 9 in the above formula, we get;



Thus, the volume of the cylinder is 452.16 cm³
Hence, Option B is the correct answer.