$140(.075) = 10.5
10.5+140= 150.50
the total would be $150.50
If a shape is a square, this mean that each side has the same length. This means that each side of the square has a length of 17cm. Perimeter is the length of the outer boundary of a shape or the summation (addition) of all the sides. This means that the perimeter of this square is 17+17+17+17 or 17×4 which is equal to 68cm.
I hope this helps!
Answer:
(x^4 + 5 x^3 - 16 x^2 - 36)/x^2
Step-by-step explanation:
Simplify the following:
x^2 + 5 x - 16 - 36/x^2
Put each term in x^2 + 5 x - 16 - 36/x^2 over the common denominator x^2: x^2 + 5 x - 16 - 36/x^2 = x^4/x^2 + (5 x^3)/x^2 - (16 x^2)/x^2 - 36/x^2:
x^4/x^2 + (5 x^3)/x^2 - (16 x^2)/x^2 - 36/x^2
x^4/x^2 + (5 x^3)/x^2 - (16 x^2)/x^2 - 36/x^2 = (x^4 + 5 x^3 - 16 x^2 - 36)/x^2:
Answer: (x^4 + 5 x^3 - 16 x^2 - 36)/x^2
Answer:
{4+2√7, 6, 8-2√7}
Step-by-step explanation:
The middle term of three of an arithmetic sequence is the average of the three numbers—their sum divided by 3. So, this arithmetic sequence has a middle term of 6.
If the common difference is x, then the numbers are ...
{6 -x, 6, 6+x}
When the first is increased by 4, to 10-x, then the ratios of adjacent terms are the same:
6/(10-x) = (6+x)/6
36 = 60 +4x -x^2 . . . . . . multiplying by 6(10-x)
x^2 -4x = 24 . . . . . in a form suitable for completing the square
(x -2)^2 = 28 . . . . . . after adding 4
x = 2-2√7 . . . . . the solution that makes the sequence be positive numbers
The arithmetic sequence is then ...
{4 +2√7, 6, 8 -2√7} ≈ {9.2915, 6, 2.7085}
