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postnew [5]
3 years ago
12

What is the positive difference between the square of the sum of the first five positive integers and the sum of the first five

positive perfect squares?
Mathematics
1 answer:
omeli [17]3 years ago
7 0

Answer:

<h2>200</h2>

Step-by-step explanation:

The square of the sum of the first five positive integers:

(1 + 2 + 3 + 4 + 5)² = 15² = 225

The sum of the first positive perfect square:

1² + 2² + 3² + 4² + 5² = 1 + 4 + 9 + 16 + 25 = 55

225 - 55 = 200

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The hypotenuse of a 45 45 90 triangle measures 24 inches. what is the length of one leg of the triangle?
frosja888 [35]

Answer:

12\sqrt{2}\ in

Step-by-step explanation:

we know that

A 45\°-45\°-90\° right triangle has two equal legs

Let

x-----> the length side of the leg of the triangle

y------> the length side of the hypotenuse

sin(45\°)=cos(45\°)=\frac{\sqrt{2}}{2}

cos(45\°)=\frac{x}{y}

so

\frac{x}{y}=\frac{\sqrt{2}}{2}

in this problem we have

y=24\ in

substitute the value of y and solve for x

\frac{x}{24}=\frac{\sqrt{2}}{2}

x=24\frac{\sqrt{2}}{2}

x=12\sqrt{2}\ in

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3 years ago
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10. Find the slope of a line perpendicular to the line containing (-8, 10) and (0,9).
Paladinen [302]

the slope would be 8/1

your welcome

3 0
3 years ago
Given ABC is an isosceles triangle with AB = BC. If the measure of <br> A)43°<br><br> B)86°<br><br> C)94°<br><br> D)137°
nalin [4]

Answer:

iiiii

Step-by-step explanation:

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Step-by-step explanation:

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8 0
2 years ago
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alexira [117]

Answer:

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Step-by-step explanation:

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