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den301095 [7]
2 years ago
6

A 35-foot ladder is leaning against the side of a building and is positioned such that the base of the ladder is 21 feet from th

e base of the building. How far above the ground is the point where the ladder touches the building?
Mathematics
1 answer:
Ostrovityanka [42]2 years ago
6 0

Answer:

height = 28 feet

Step-by-step explanation:

using the Pythagorean theorem:

height = 35² - 21²

height² = 1225 - 441 = 784

height = 28 feet

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Which are correct representations of the inequality –3(2x – 5) < 5(2 – x)? Select two options.
chubhunter [2.5K]

The correct statements are options C and option D.

  • - 6x + 15 < 10 - 5x ⇒ 3rd answer
  • An open circle is at 5 and a bold line starts at 5 and is pointing to the right.
<h3 /><h3>What is inequality?</h3>

The relation between two expressions that are not equal, employing a sign such as ≠ ‘not equal to’, > ‘greater than, or < ‘less than.

The inequality is -3(2x - 5) < 5(2 - x)

At first, simplify each side

-3(2x - 5) = -3(2x) + -3(-5)

Remember (-)(-) = (+)

-3(2x - 5) = - 6x + 15

5(2 - x) = 5(2) + 5(-x)

Remember (+)(-) = (-)

5(2 - x) = 10 - 5x

- 6x + 15 < 10 - 5x

Subtract 15 from both sides

- 6x < -5 - 5x

Add 5x to both sides

- x < - 5

Remember the coefficient of x is negative, then when you divide both sides by it you must reverse the sign of inequality

The coefficient of x is -1

Divide both sides by -1

x > 5

Therefore the correct statements are options C and option D.

  • - 6x + 15 < 10 - 5x ⇒ 3rd answer
  • An open circle is at 5 and a bold line starts at 5 and is pointing to the right.

To know more about inequality follow

brainly.com/question/24372553

#SPJ1

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