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.
Answer:
it is side ways
Step-by-step explanation:
Answer:
Lane Viking's Score is 17
Black Eagles's Score is 21
Step-by-step explanation:
Let Lane Viking's Score be x and Black Eagles's Score be y.
Black Eagles's Score = 4+ Lane Viking's Score
so y = 4 + x (Equation 1)
Total Score = 38
Black Eagles's Score + Lane Viking's Score = 38
so y + x =38 (Equation 2)
Putting y's value from Equation 1 in Equation 2
4 + x + x = 38
2x = 38-4
x=34/2
x=17
Putting value of x in Equation 1
y = 4 + 17
y = 21
Answer:
a=3
Step-by-step explanation:
This should be very simple, just substitute xy and y for 5 and 7 respectively, so 5a-2*7=1, or 5a-14=1, or 5a=15, if we divide both sides by 5, we get a=3
Answer:
The second dealer is better.
Step-by-step explanation:
To figure this out we need to divide the price by the amount of milk. Lets do both at the same time.
3.8/2= 2.7/1.5=
3.8/2=1.9 2.7/1.5=1.8
The second dealer is better.
