a - length of side of a square
t - length of side of a triangle
The perimeter of a square: 
The perimeter of a triangle: 
We have the area of a triangle: 
The formula of an area of an equilateral trinagle: 
Substitute:
<em>multiply both sides by 4</em>
<em>divide both sides by 
</em>
The perimeter of a triangle: 
Substitute to the formula of a perimeter of a square:
<em>divide both sides by 4</em>
The formula of a diagonal of a square: 
Substitute:
Answer:
the perimeter is 50 inches squared
Step-by-step explanation:
if the length is 4 times that means the sides are 20 and 5
It could be 28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43, or 44.
Answer:
There are a few possible answers so read explanation, but the one I will put up here is:
20.83
Step-by-step explanation:
First you have to find how much 100 cups of coffee costs in store.
To do this you will multiply 2.50 by 100 and get 250. So now we know 100 cups of coffee in store costs $250 whereas 100 cups at home is $12.
To find how many times greater the price in store is compared to the at home brew, you have to divide 250 by 12 and get 20.8333333....
We don't stop there though, because it asks us to approximate. I am not sure what it would like us to round to, but here are some possible approximations:
- 20.83
- 20.8
- 21
Any of those re reasonable approximations, you choose whichever you think the question wants, or whatever your teacher asks for.
Hope this helps
Answer:
x = sqrt(3)/5 - 9/5 or x = -9/5 - sqrt(3)/5
Step-by-step explanation by completing the square:
Solve for x over the real numbers:
4 (5 x + 9)^2 - 33 = -21
Add 33 to both sides:
4 (5 x + 9)^2 = 12
Divide both sides by 4:
(5 x + 9)^2 = 3
Take the square root of both sides:
5 x + 9 = sqrt(3) or 5 x + 9 = -sqrt(3)
Subtract 9 from both sides:
5 x = sqrt(3) - 9 or 5 x + 9 = -sqrt(3)
Divide both sides by 5:
x = sqrt(3)/5 - 9/5 or 5 x + 9 = -sqrt(3)
Subtract 9 from both sides:
x = sqrt(3)/5 - 9/5 or 5 x = -9 - sqrt(3)
Divide both sides by 5:
Answer: x = sqrt(3)/5 - 9/5 or x = -9/5 - sqrt(3)/5
