Answer:
225
Step-by-step explanation:
I took the quiz I got this question wrong but the answer is 225
The product is 3.3333333333333 so less. hope this was helpfull
Answer:
#5 x=8, #6 x=5
Step-by-step explanation:
Theyre vertical so for number 5 you would have the equation
5x+15=55
-15 -15 from both sides
5x=40
divide by 5 from both sides and you get
x=8
Same thing vertical so you would have
16x+7=87
-7 -7 from both sides
16x=80
divide by 16 from both sides
x=5
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:
Step-by-step explanation:
The given fraction is:
We need to solve it.
The LCM of 168 and 180 is 2520.
So,
So, the required answer is equal to .
