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2 years ago

Hello! I'm new to this amazing experience and would like to have some friend's or people to show me what to do here!

Mathematics

2 answers:

Artist 52 [7]2 years ago

7 0

Yeah man glad to have ya!!

andreev551 [17]2 years ago

3 0

Hello.....

On this app, you may ask your doubts regarding any of your subjects... Even you can clarify others doubt....

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2 years ago

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The hypotenuse of an isosceles right triangle is centimeters longer than either of its legs. Find the exact length of each side.

Varvara68 [4.7K]

Question

The hypotenuse of an isosceles right triangle is 11 centimeters longer than either of its legs. find the exact length of each side.

Answer:

$Hypotenuse:37.56$

$Other\ Legs: 26.56$

Step-by-step explanation:

Let the hypotenuse be y and the other legs be x.

So:

$y = 11 + x$

Required

Determine the exact dimension of the triangle

Using Pythagoras theorem;

$y^2 = x^2 + x^2$

$y^2 = 2x^2$

This gives:

$(11+x)^2 = 2x^2$

Open bracket

$121 + 22x + x^2= 2x^2$

Collect like terms

$2x^2 - x^2 -22x - 121 = 0$

$x^2 -22x - 121 = 0$

Using quadratic formula:

$x = \frac{-b\±\sqrt{b^2 - 4ac}}{2a}$

$x = \frac{-(-22)\±\sqrt{(-22)^2 - 4*1*-121}}{2*1}$

$x = \frac{-(-22)\±\sqrt{968}}{2*1}$

$x = \frac{22\±31.11}{2}$

Split

$x = \frac{22+31.11}{2}\ or\ x = \frac{22-31.11}{2}\\$

$x = \frac{53.11}{2}\ or\ x = \frac{-9.11}{2}$

x can not be negative.

So:

$x = \frac{53.11}{2}$

$x = 26.56$

Recall that:

$y = 11 + x$

$y = 11 + 26.56$

$y = 37.56$

Hence, the dimensions are:

$Hypotenuse:37.56$

$Other\ Legs: 26.56$

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3 years ago

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Slope is 7/3 and y intercept is -3.

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Dmitrij [34]

prime factoring, oddly enough, is simply dividing by primes, anyhow, without much adieu.

36 = 2 * 2 * 3 * 3.

but anyway, prime factoring, is dividing by first 2, till you can't, then 3 till you can't, then 5 till you can't, and so on, and that plucks out all possible factors on any number.

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What angle measure is complementary to 87 degrees?

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