The smiths spend 12% of their budget on entertainment. their total budget this year is $2,000 more than last year, and this year they plan to spend $5,640 on entertainment. what was their total budget last year?

45,000

Step-by-step explanation:

We can create a proportion to find last year's budget. A proportion is an equation where two ratios are set equal to each other. We create two fractions using the budget and percents.

We begin solving by cross multiplying numerator to denominator of each fraction.

This is the budget for this year. However this budget is 2000 more than last year.

47000=2000=45000 is last years budget.

square root of 36/6 = 2.449489743

square root of 16/6 = 1.632993162

square root of 6 = 2.449489743

the answer is square root of 16/6 because the square root of 36/6 is the same answer as square root of 6 = 2.449489743

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).