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:
6 weeks
Step-by-step explanation:
18x 6 = 108
116+108=223
Answer:h = 2((A)/(b1+b2))
Step-by-step explanation:
Answer:
$36 400
Step-by-step explanation:
Step 1
The first step is to figure out how much money is saved at the end of each month for the period from January 1 to June 15. The amount deposited at the end of each month is obtained by multiplying the amount from the previous month by 3.
The amount deposited in January is 
The amount deposited in February is 
The amount deposited in March is 
The amount deposited in April is 
The amount deposited in May is 
The amount deposited in June is 
Step 2
The next step is to add up all the money that was deposited into the account. This calculation is shown below,
Answer:
9 ways
Step-by-step explanation:
Here are the combinations:
Start with dimes (10), change with dimes (10) would be (10, 10, 1), (10, 5,5,1), (10, 5, 6), (10, 11)
With nickels (5), change would be (5,5,5,5,1), (5,5,5,6), (5,5,11), (5,16)
With pennies (1) it would be (21)
