Two ladders AB and PQ are resting against opposite

Mathematics

1 answer:

muminat2 years ago

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Answer:

The length of the longer ladder is 35 ft Step-by-step explanation: Please check the attachment for a diagrammatic representation of the problem We want to calculate the length of the longer ladder ; We make reference to the diagram Since the two right triangles formed are similar. the ratios of their sides are equal; Thus; 20/15 = 28/x + 15 20(x + 15) = 15(28) 20x + 300 = 420 20x = 420-300 20x = 120 x = 120/20 x = 6 So we want to calculate the hypotenuse of a right triangle with other sides 28ft and 21 ft To do this, we use the Pythagoras’ theorem which states that square of the hypotenuse equals the sum of the squares of the two other sides Let the hypotenuse be marked x x^2 = 28^2 + 21^2 x^2 = 1,225

x = √1225

x = 35 ft

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company x has 50 employees and company y has 60 employees. both companies have the same number of full-time employees, but compa

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Using the simplification, company y has 17 number of part-time employees.

In the given question we have to find how many part-time employees does company y have.

From the question, company x has 50 employees and company y has 60 employees.

Both companies have the same number of full-time employees, but company y has 3 more than twice the number of part-time employees that company x has.

Let company x has A number of part-time employees.

According the given statement

Company y has number of part-time employees = 2A+3

Let company X and Y have B number of full-time employees.

So the total number of employees in company x;

A+B = 50....................(1)

The total number of employees in company x;

2A+3+B = 60

Subtract 3 on both side we get

2A+B=57....................(2)

Subtract Equation 2 and 1

2A+B-(A+B)=57-50