Answer:
54
Step-by-step explanation:
20% of 15 is 3 so Quentin is 18 years old
If Quentin is one thrid his Aunt's age that means his aunt is three times older.
18 * 3 = 54
So his Aunt is 54 years old
The maximum area of a rectangle when given perimeter is simply perimeter/sides.
To get the maximum area, simply divide 160 (perimeter) by 4 (sides in a rectangle) and then square the result:
160/4 = 40
40 x 40 = 1600
The maximum area, when the sides are all of the same length, is <u><em>1600 square yards.
</em></u><em></em>Hope this helps!
<em>~ArchimedesEleven</em><u><em>
</em></u>
you're given the pythagorean theorem, which is a^2 + b^2 = c^2.
what you're trying to find is ?, which is the number under the radical.
let's pretend one leg is a and the other is b.
a = 9
b = 10
so let's plug it into the equation. we get 9^2 + 10^2 = c^2
so that equals 81 + 100 = c^2
181 = c^2
so c will equal the square root of 181. therefore, ? = 181.
hope i helped! good luck.
Pattern:
10, 100, 1,000, 10,000, 100,000, 1,000,000, 10,000,000, and so on.
Step-by-step explanation:
First, you must start by using 10 and multiplying it 10 times, 10 x 10 = 100.
Then, with 100 you must multiply it by 10 again, 100 x 10 = 1,000.
Countiue and you will get it.
And good luck! <3
The solution depends on the value of

. To make things simple, assume

. The homogeneous part of the equation is

and has characteristic equation

which admits the characteristic solution

.
For the solution to the nonhomogeneous equation, a reasonable guess for the particular solution might be

. Then

So you have


This means


and so the general solution would be