The sides of the triangle are given as 1, x, and x².
The principle of triangle inequality requires that the sum of the lengths of any two sides should be equal to, or greater than the third side.
Consider 3 cases
Case (a): x < 1,
Then in decreasing size, the lengths are 1, x, and x².
We require that x² + x ≥ 1
Solve x² + x - 1 =
x = 0.5[-1 +/- √(1+4)] = 0.618 or -1.618.
Reject the negative length.
Therefore, the lengths are 0.382, 0.618 and 1.
Case (b): x = 1
This creates an equilateral triangle with equal sides
The sides are 1, 1 and 1.
Case (c): x>1
In increasing order, the lengths are 1, x, and x².
We require that x + 1 ≥ x²
Solve x² - x - 1 = 0
x = 0.5[1 +/- √(1+4)] = 1.6118 or -0.618
Reject the negative answr.
The lengths are 1, 1.618 and 2.618.
Answer:
The possible lengths of the sides are
(a) 0.382, 0.618 and 1
(b) 1, 1 and 1.
(c) 2.618, 1.618 and 1.
I think it’s 32? i dont know good luck
Step-by-step explanation:
Molly ran 1/4 of a mile in 1 minute, i.e.
1/4 mile : 1 minute
Multiply both sides by 4 to get time for one mile
1 mile : 4 minutes
Multiply by 4 again to get time for 4 miles
4 miles = 4*4 = 16 minutes.
So it takes Molly 16 minutes to run four miles.
Answer:
Step-by-step explanation:
dy/dx = d/dx log root under x-1 / root under x+1
dy/dx = root under x+1 / root under x-1 * 1/(x+1)^2/3 * 1/root under x-1
dy/dx = (x+1)^2/ x-1
Unit price:
$3.03 for a gallon of gass
$0.05 per ounce of soap
$0.75 per bag of popcorn
Not a Unit Price:
$20 for 5 books
$33.00 for 2 avocadoes
hoped that helped
