Answer:
The sides are 30 ft, 40 ft and 50 ft.
Step-by-step explanation:
The length of the triangle are as follows x - 4 , x + 6 and 2x - 18 . The hypotenuse should be 2x - 18 . The hypotenuse is the longest side of a right angle triangle.
Using Pythagoras theorem the length of the sides can be found.
a² + b² = c²
(x - 4)² + (x + 6)² = (2x - 18)²
(x - 4)(x - 4) + (x + 6)(x + 6) = (2x - 18)(2x - 18)
x²- 4x - 4x + 16 + x² + 6x + 6x + 36 = 4x² - 36x - 36x + 324
2x² - 8x + 12x + 16 + 36 = 4x² - 72x + 324
2x² + 4x + 52 = 4x² - 72x + 324
2x² - 4x² + 4x + 72x + 52 - 324 = 0
-2x² + 76x - 272 = 0
2x² - 76x + 272 = 0
divide through by 2
x² - 38x + 136 = 0
find the number you can multiply to give you 136 and add to give you - 38. The number are - 34 and - 4.
x² - 4x - 34x + 136 = 0
x(x - 4) - 34(x - 4) = 0
(x - 4)(x - 34 ) = 0
x = 4 or 34
we can only use 34 since using 4 will result to negative number.
x - 4 = 34 - 4 = 30 ft
x + 6 = 34 + 6 = 40 ft
2x - 18 = 68 - 18 = 50 ft
Answer:
Company's total liabilities are $6,351.
Step-by-step explanation:
A company's financial information is given, we have to calculate the company's total liabilities.
Total assets = Fixed assets + current assets
Current assets = Total assets - Fixed assets
= $8,190 - $5,385
= $2,805
Networking capital = Current assets - Current liabilities
$735 = $2,805 - current liabilities
Current liabilities = $2,805 - $735
Current liabilities = $2,070
Total liabilities = Long term debt + current liabilities
= $4,281 + $2,070
= $6,351
Company's total liabilities are $6,351.
55*10/2=275
The area of his roof is 275
Derive the equation and equate the derivative to zero.
dan/dt = -2n + 6 = 0
The value of n in the equation is 3. We substitute 3 to the original equation,
an = -(3)² + 6(3) - 7 = 2
The answer to this item is letter B.
Answer:
well at 0 degrees on the unit circle the point is (1, 0)
