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
Well I tried doing it but depends what your trying to do with the equation but I got
x= -a/3 - 5d/3
Answer:
3.6 litres
Step-by-step explanation:
1 bottle = 450ml
8 bottles = 450 × 8
= 3600ml
1000ml = 1 litre
3600ml = 3.6 litres (3600÷1000)
Answer: since there is no table shown you can’t really tell but the closest would be the number that shows up the most amount of time but you would have to take into consideration of the increase of the number
Step-by-step explanation:
She earned 661.50 dollars. If she worked 7.5 hrs each day Mon-Wed, she worked 22.5 hrs from Mon-Wed because 7.5 times 3 is 22.5. She also worked 6 hrs on Sat. and 5.25 hrs on Sun., so in total, she worked 33.75 hrs last week. To find out her pay, we have to multiply the total hrs by the amount she gets payed, 19.60. 33.75x19.60 is 661.50, the amount she got payed last week.
