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likoan [24]
2 years ago
6

Find the value of each variable x = y=

Mathematics
1 answer:
Karolina [17]2 years ago
7 0

Answer:

x=9

y=9\sqrt{2}

Step-by-step explanation:

This is a special type of triangle known as a 45-45-90 triangle.

The ratio for the sides of this triangle are x:x:x\sqrt{2}

Meaning that the two sides other than the hypotenuse are equal, so in this triangle x=9 because it is not a hypotenuse.

The hypotenuse, however, is the value of one side multiplied by \sqrt{2}.

In this case it is 9, so 9*\sqrt{2} = 9\sqrt{2}

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Gerold invested $118 in an account that pays 6 percent simple interest. how much money will he have at the end of 5 years
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If you would like to know how much money will Gerold have at the end of 5 years, you can calculate this using the following steps:

1 year: $118 + 6% * $118 = 118 + 6/100 * 118 = 118 + 7.08 = $125.08
2 year: $125.08 + 6% * $125.08 = 125.08 + 6/100 * 125.08 = 125.08 + 7.50 = $132.58
3 year: $132.58 + 6% * $132.58 = 132.58 + 6/100 * 132.58 = 132.58 + 7.95 = $140.53
4 year: $140.53 + 6% * $140.53 = 140.53 + 6/100 * 140.53 = 140.53 + 8.43 = $148.96
5 year: $148.96 + 6% * $148.96 = 148.96 + 6/100 * 148.96 = 148.96 + 8.94 = $157.9

The correct result would be $157.9.
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Factorise x squared plus 5x minus 6
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This is the answer:  <span>x2 + 5x + 6 = </span><span>(x + 2)(x + 3)</span>
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