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Alex777 [14]
2 years ago
5

If x=z+8 where z varies inversely as y and z=2 when y=3 find relation between y and x?​

Mathematics
1 answer:
sattari [20]2 years ago
5 0

Answer:

y = 6/(x - 8).

Step-by-step explanation:

z = k/y    where k is a constant

2 = k/3

k = 6.

So z = 6/y

and  x = 6/y + 8

Multiply through by y:

xy = 6 + 8y

xy - 8y = 6

y(x - 8) = 6

y = 6/(x - 8)

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Two ropes are attached to a large ballon in a parade. The people holding the ropes are 40 feet apart,and the angle between the t
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<u>Step-by-step explanation:</u>

Step 1 :

List all the given things

         Distance between people holding ropes = 40 =(40*0.3048) meters = 12.192 meters

         Angle between two ropes = 86 degrees

         Angle of elevation of one rope = 42 degrees

Step 2 :

Two angles of triangle are already given so third angle can be calculated as -  

            Third angle = 180 - ( 86 + 42 ) = 52 degrees

Step 3 :

As we know all three angles we will apply sine rule now, which is

\frac{a}{sine A} = \frac{b}{sine B} = \frac{c}{sine C}

Step 4 :

By putting values, we have

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Step 5 : Calculating a and b

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Step 6 :

By putting values of all sine and calculating we get,

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