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3 years ago

Four employees can wash 20 service vehicles in 5 hours. How long would it take 5 employees to wash the same number of vehicles?

Mathematics

2 answers:

kirill [66]3 years ago

3 0

Answer:

Step-by-step explanation:

4 workers × 5 hours = 20 worker-hours

Each vehicle requires 1 worker-hour

For five workers it will take four hours

amid [387]3 years ago

3 0

ANSWER: 4 hours.
As the number of employees who do the same work increase, the number of hours to finish is shorter

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If the length of each side of an equilateral triangle were increased by 50 percent, what would be the percent increase in the ar

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Answer:

The area increase by 225%

Step-by-step explanation:

attachment of a triangle

The area of a triangle equilateral is calculated with the next formula:

A= $\frac{a*h}{2}$

$h^{2} +(\frac{a}{2})^{2}$ = $a^{2}$

$h^{2} = a^{2} - \frac{a^{2} }{4}$ = $\frac{a^{2} }{4}$ *3

h= $\sqrt{\frac{a^{2}*3 }{4} }$

h= $\frac{\sqrt{3}*a }{2}$

replacing in the A equation:

A= $\frac{a*\sqrt{3}*a }{2*2}$ 

A= $\frac{\sqrt{3}*a^{2} }{4}$ 

Now each side increse by 50% ⇒ a=1.5a

A= $\frac{\sqrt{3}*(1.5a)^{2} }{4}$ 

A= $\frac{\sqrt{3}*a^{2}* 2.25 }{4}$ 

A=2.25 * $\frac{\sqrt{3}*a^{2} }{4}$ 

It means that the area incrase by 225%

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