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V125BC [204]
3 years ago
7

The shorter leg of a right triangle is 18 meters. The hypotenuse is 6 meters longer than the longer leg. Find the length of the

longer leg.
Mathematics
1 answer:
mote1985 [20]3 years ago
6 0

Answer:

24 meters

Step-by-step explanation:

Use the pythagorean theorem

18² + x² = (x + 6)²

Expand

324 + x² = x² + 12x + 36

Subtract x² from both sides

324 = 12x + 36

Subtract 36 from both sides

288 = 12x

Divide both sides by 12

24 = x

24 meters

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Step-by-step explanation:

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Simplify the following question -1/3 + -3/8
gregori [183]

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-1/3 + -3/8 = -17/24

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You pick a card, roll a die, and find the sum. How many different sums are possible?
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Answer:

14

Step-by-step explanation:

We know that the lowest number on a die is 1 and the lowest number on a card is 2. We can add these two together to find our first sum, 3.

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4 0
2 years ago
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Andrew's father drives no more than 350 miles (m) on one tank of gas. Enter an inequality to represent the situation.
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Answer:

~~~~~~~~~~~Hello!~~~~~~~~~~~

Your answer should be:

<em>The number of miles Andrew's father drives on a tank of gas ≤ 350.</em>

Step-by-step explanation:

I hope this helped!

Please tell me if it didn't

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7 0
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The sum of two numbers is 14. The first number is 2/5 of the second number. What are the numbers?​
zlopas [31]

Answer:

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Step-by-step explanation:

To solve this problem, we need to find all the numbers between 1 and 13 that have a sum of 14. The list is shown below:

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Now we must figure out which set of numbers include one number that is 2/5 of the value of the other. We can do that by turning the sets of numbers into fractions as shown below:

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\frac{7}{7}\neq \frac{2}{5}

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