a right triangle has legs of length 3x m and 4x m and hypotenuse of length 75 m. find the lengths of the legs of the triangle

1 answer:

4 0

It is a 3-4-5 right triangle

leg1 := 3x, leg2:=4x, hypotenuse:=5x

given hypotenuse = 75m
=> 5x=75
So, x= 75÷5 = 15
Therefore, leg1 = 3(15) = 45m.
leg2= 4(15) = 60m.

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Ajar holding 36 coins, only nickels and quarters, is worth $6.20. There are eight more quarters than there are nickels. How many

Nonamiya [84]

Answer:

Step-by-step explanation:

Let n represent the number of nickels. Then the number of quarters is 36-n. The difference is ...

(36-n) -n = 8 . . . . . 8 more quarters than nickels

18 -n = 4 . . . . . . . divide by 2

14 = n . . . . . . . . add n-4 to both sides

There are 14 nickels in the jar.

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Additional comment

The problem supplies more information than is needed for a solution. You can work this as a "sum and difference" problem, as we have above, or you can work it as a "mixture" problem where the total coin value comes into play. Any two of the three given relations will give a solution.

n + q = 36 . . . . . . . number of coins

5n +25q = 620 . . . value of coins (in cents)

q -n = 8 . . . . . . . . difference in number of coins