The owner of a butcher shop keeps the shop's freezer at -5°c. it is acceptable for the temperature to differ from this value by 1.5°. write and solve an absolute-value equation to find minimum and maximum acceptable temperatures

is the equation describing minimum and maximum acceptable temperatures.

The minimum temperature could be

and the maximum temperature could be

Step-by-step explanation:

The owner of a butcher shop keeps the shop's freezer at -5°C. It is acceptable for the temperature to differ from this value by 1.5°. So, the minimum temperature could be

and the maximum temperature could be

Let be acceptable temperature of freezer. The difference between the acceptable temperature and given temperature cannot be more than 1.5° and less than 1.5°, so

Then

is the equation describing minimum and maximum acceptable temperatures.

Solve it:

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).