Suppose that y varies directly with x and inversely with z. If y = 63 when x = 27 and z = 3, find the constant of proportionality.

constant of proportionality = 7

Step-by-step explanation:

Let k = constant of proportionality

If y varies directly with x and inversely with z, then

Substitute the values given into the equation and you get

here you hope this .

step-by-step explanation:

hypotenuse = √(15² + 8²)

=  √(225 +64)

=  √(289) = 17

sin(x) = cos(y) = 8/17

they are identical so long as you are doing the sine of one angle and the cosine of the only other angle that isn't the right angle.

on monday rodney ate 1/4th of the sandwich = 3/12

on tuesday he ate 1/3rd of the sandwich = 4/12

therefore in total he has eaten = 3/12 + 4/12 = 7/12

thus we can say that he has eaten 7/12 of the sandwich on monday and tuesday alltogether.

happy to

pls mark as brainliest.