You are making balloon arrangements for a birthday party. there are 16 white balloons and 24 red balloons . each arrangement must be identical .what is the greatest number of arrangements you can make using every balloon

The greatest number of arrangements using every balloon is an illustration of the highest common factors (HCF).

The greatest number of arrangements you can make using every balloon is 8.

Given that:

To determine the greatest number of arrangements, we simply calculate the HCF of 16 and 24.

We have:

The highest common factor is:

Hence, the greatest number of arrangements you can make using every balloon is 8.

Read more about highest common factors (HCF) at:

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p ÷ r = tan(x)

step-by-step explanation:

given that there is a figure below shows a right triangle: a right triangle is shown with hypotenuse equal to q units and the length of the legs equal to p units and r units.

graph is missing so i will create the graph as per given information.

the angle between the legs having lengths p units and q units is y degrees. the angle between the legs having lengths r units and q units is x degrees.

now we need to find about what is p ÷ r equal to.

so we can use trigonometric ratio tan(x)=[altitude]/[base] to find the value of p ÷ r, because p is the altitude and r is the base.

p ÷ r=tan(x)

hence final answer is p ÷ r=tan(x).

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step-by-step explanation: