You use Pythagorean theorem...a^2+b^2=c^2
a=12ft
b=47-31.. height of the triangle
c=distance between two roof tops

(12)^2+(16)^2=c^2
144+256=c^2
400=c^2, take square root of both sides
c=20ft

3 0

4 years ago

A restaurant manager can spend at most $600 a day for operating costs and payroll. It costs $100 each day to operate the bank an

navik [9.2K]

Option A

The restaurant Manager can afford at most 10 employees for the day

<em><u>Solution:</u></em>

Given that restaurant manager can spend at most $600 a day for operating costs and payroll

It costs $100 each day to operate the bank and $50 dollars a day for each employee

The given inequality is:

$50x + 100\leq 600$

Where , "x" is the number of employees per day

Let us solve the inequality for "x"

$50x + 100\leq 600$

Add -100 on both sides of inequality

$50x + 100 - 100\leq 600 - 100\\\\50x\leq 500$

Divide by 50 on both sides of inequality

$\frac{50x}{50}\leq \frac{500}{50}\\\\x\leq 10$

Hence the restaurant Manager can afford at most 10 employees for the day

Thus option A is correct

6 0

4 years ago