You have to use the Pythagorean theorem but there is a little twist here since a square has has equal sides. So:
x^2+x^2=8
2x^2=8
2/2x^2=8/2
x^2=4
√x^2=√4
x=2
The side of the square is 2.
So now the area of a square is:
Side×Side
2×2=4
The area of the square is 4 centimetres
The correct answer is 45 square yards.
Answer:
<em>15c + 25s ≤ 1500</em>
Step-by-step explanation:
Let the number of stools be s
Let the number of chairs bought be c
If each tools cost $15, s stools will cost $15c
If a chairs cost $25, c chairs will cost $25s
Total costs = 15c + 25s
If the center cannot spend more than $1500, then the required equation will be 15c + 25s ≤ 1500
<em>The inequality sign will be less than and equal to since they cannot spend an amount greater than $1500.</em>
<em>Hence the correct equation is 15c + 25s ≤ 1500</em>
Well,
Given that
,
We can rewrite the equation like,

Now use,
which implies that 
That means that,

By def
therefore 
So the fraction now looks like,

Which is equal to the identity,

Hope this helps.
r3t40
Answer:
Cost of each hat: $5
Cost of each mask: $3
Step-by-step explanation:
Let be "x" the cost in dollars of a party hat and "y" the cost in dollars of a mask.
Set up a System of equations using the information given in the exercise:

You can use the Elimination Method to solve this System of equations:
1. You can multiply the first equation by -1.
2. Then you must add the equations.
3. Solve for "y".
Then:

4. Now you can substitute the value of "y" into any original equation.
5. Finally, solve for "x" in order to find its value.
Then:
