Answer:
x = 461.1452942
Step-by-step explanation:
xtan30.2 = 600tan24.1
We divide both sides by tan(30.2) to get;
x = 
Dividing that out gives x = 461.1452942
As they vary from month to month, Luis's variable expenses are the utility bill, groceries, clothing and fuel.
Variable expenses is a concept in economics. They are costs that change due to an increase or decrease in the production volume, such as raw material costs.
The variable cost in money is obtained by multiplying, starting from a certain cost, the variable cost in kind by the price of the variable factor. The curves of average variable cost and marginal variable cost are deduced from the curve of variable cost in money according to geometric relationships.
Therefore, as they vary from month to month, Luis's variable expenses are the utility bill, groceries, clothing and fuel.
Learn more about maths in brainly.com/question/21694231
Answer:
0.3(least)
0.33
0.35
0.36(greatest)
Step-by-step explanation:
Okay, so first we need to have all of our numbers in the same category of variable. So first, we will convert 9/25 to a decimal.
To do that, we must divide 9 by 25 to get our answer of 0.36.
Now, we will convert the 33% to a decimal by dividing it by 100 to get 0.33
We now have our list, which should be ordered as:
0.3
0.33
0.35
0.36
a < -9
Rearrange:
Rearrange the equation by subtracting what is to the right of the greater than sign from both sides of the inequality :
5*a+18-(-27)<0
Step by step solution :
Step 1 :
Pulling out like terms :
1.1 Pull out like factors :
5a + 45 = 5 • (a + 9)
Equation at the end of step 1 :
Step 2 :
2.1 Divide both sides by 5
Solve Basic Inequality :
2.2 Subtract 9 from both sides
a < -9