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2 years ago

What is 71,781 divided by 8

Mathematics

1 answer:

Mashutka [201]2 years ago

7 0

The answer is 8,972.625

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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:

$Hypotenuse:37.56$

$Other\ Legs: 26.56$

6 0

2 years ago

Can someone please help with this question

BaLLatris [955]

39 because 6/3= 2 and 78/39 also = 2

7 0

3 years ago

A net and four figures are shown: A net is shown on top. The net consists of 6 identical squares. There are 2 squares in a row,

Julli [10]

The net diagram could be a cube because a cube has 6 identical sides.

8 0

2 years ago

The measures of the two equal angles of an isosceles triangle are 370 each, then the

e-lub [12.9K]

Answer:

something is incorrect in your question.

Step-by-step explanation:

The sum of all three angles in any triangle is only 180°.

5 0

2 years ago

Always, sometimes, or never true

Kitty [74]

I think it’s always because the absolute value is always positive.

8 0

3 years ago

Read 2 more answers

What is 71,781 divided by 8​

What is 71,781 divided by 8