Two ladders AB and PQ are resting against opposite

Mathematics

1 answer:

muminat2 years ago

5 0

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

You might be interested in

A wallet containing 5 five dollar bills, 7 ten dollar bills, 8 twenty dollar bills is found and returned to its owner the wallet

Dominik [7]

Answer:

The probability is 2/5 that a $20 bill will be drawn from the wallet.

Step-by-step explanation:

There are 20 total bills in the wallet (5 $5, 7 $10, and 8 $20, 5+7+8=20). So if the finder and returner of the wallet was to be given one of the bills drawn from the wallet there would be an 8/20 chance the owner of the wallet would pull a 20. That's because there are 20 total bills in the wallet and 8 of them are $20.

Simplifying 8/20... 8/20= 4/10= 2/5.

So, there is a 2/5 chance that a $20 bill will be pulled out of the wallet.

Hope this helps!

7 0

3 years ago

Write an equation for each linear function described. Show your work. The graph of the function passes through the point (2,1),

svp [43]

Step-by-step explanation: