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denpristay [2]
3 years ago
10

2/9 divided by 5/6help pleaseee​

Mathematics
1 answer:
igomit [66]3 years ago
4 0

Hey there!

\mathsf{\dfrac{2}{9}\div\dfrac{5}{6}}

\mathsf{= \dfrac{2\times6}{9\times5}}

\mathsf{2\times 6 = \bf 12}

\mathsf{9\times5 = \bf 45}

\boxed{\mathsf{=\bf \dfrac{12}{45}}}

\large\textsf{BOTH NUMBERS has the Greatest Common Factor (GCF) of 3}

\mathsf{= \dfrac{12\div3}{45\div3}}

\mathsf{12\div3=\bf 4}

\mathsf{45\div3=\bf 15}

\boxed{\mathsf{=\bf  \dfrac{4}{15}}}

\boxed{\boxed{\large\textsf{Answer: }\mathsf{\bf \dfrac{4}{15}}}}\huge\checkmark

\large\textsf{Good luck on your assignment and enjoy your day!}\\\\\\~\frak{Amphitrite1040:)}}

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If each student receives 3 then 1824/3 = 608. There were 608 students.

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Answer:

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Step-by-step explanation:

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3 years ago
the lenght of the longer leg of a right triangle is 9 ft longer than the lenght of the shorter leg x. The hypotenuse is 9 ft sho
trasher [3.6K]

Answer:

see below

Step-by-step explanation:  5 23  8 03

the lenght of the longer leg of a right triangle is 9 ft longer than the lenght of the shorter leg x. The hypotenuse is 9 ft shorter than twice the lenght of the shorter leg.

shorter leg    = x

longer leg     = x + 9

hypotenuse  =  2x - 9

Pythagorean theorem  =    a² + b²  = c²

             shorter-leg² + longer-leg² = hypotenuse²

                         x²  +  (x+9)²  = (2x - 9)²                  solve for x

                  x² +  (x+9) (x+9)  =  (2x - 9)(2x - 9)

                 x² +  (x²+18x+81)  =  (4x² - 36x + 81)

                       (2x²+18x+81)  =  (4x² - 36x + 81)

                                          0 =   2x² -54x

                                          0 =  x(2x - 54)  

                           0 = x      and         0 = 2x -54  

                                                       54 = 2x

                                                      27 =  x

shorter leg    = 27        

longer leg     = 36

hypotenuse  =  45

divided all the values by 9 and you get a 3, 4, 5  right triangle, so the answer checks correct  

           

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