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Dmitry_Shevchenko [17]
3 years ago
10

A ladder is placed against a wall such that the top is 8 feet above the ground. If the ladder is 10 feet long, how far away from

the wall is the base of the ladder
Mathematics
1 answer:
Annette [7]3 years ago
7 0

Answer:

6 feet

Step-by-step explanation:

Consider the right triangle formed by the wall, ladder and ground.

Let the distance the ladder is from the wall be d , then

Using Pythagoras' identity in the right triangle

The square on the hypotenuse ( ladder) is equal to the sum of the squares on the other 2 sides ( wall and d ), then

d² + 8² = 10²

d² + 64 = 100 ( subtract 64 from both sides )

d² = 36 ( take the square root of both sides )

d = \sqrt{36} = 6

That is the ladder is 6 feet away from the wall

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ANTONII [103]

Answer:

f(x) = 0.5x + 5

Domain: positive whole numbers

Range: f(x) ≥ 5

Step-by-step explanation:

Let's x denote the total number of fruit juice.

This means that if $0.5 for each fruit juice, then the total cost incurred for fruit juice would be $0.5x.

Since she incurred a cost of $5 for 100 cups and $0.5 for each fruit juice, then the total cost, f(x), would be:

f(x) = 0.5x + 5

The domain would be all positive whole numbers (it is restricted to positive whole numbers because a fruit juice can't be "negative" neither can it be "half").

The range is all numbers equal or greater than 5. This is because, even if she does not eventually get fruit juice, she will still incur a cost of 5usd for cups.

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3 years ago
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LiRa [457]
D be the correct answer
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I don’t understand what the answer is
lina2011 [118]

Answer:

3.14

Step-by-step explanation:

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3 years ago
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irina1246 [14]

Answer:

1/6

Step-by-step explanation:

5/6 divided by 5 is 1/6

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&lt;2 and ___ are vertical angles.<br> &lt;2 and ___ or ___ are a linear pair<br><br> help me pls.
Lena [83]

It should be noted that angle 2 and angle 1 are vertical angles and angle 2 and angle 5 are linear pair.

<h3>How to illustrate the information?</h3>

When two lines cross at a point, vertical angles are created. They are always on an equal footing. In other words, four angles are created anytime two lines cross or intersect. It is evident that two opposed angles are equal and are referred to as vertical angles.

When two lines cross at one point, a linear pair of angles is created. If the angles follow the intersection of the two lines in a straight line, they are said to be linear. A linear pair's total angles are always equal to 180°. These are also referred to as additional angles.

Therefore, it should be noted that angle 2 and angle 1 are vertical angles and angle 2 and angle 5 are linear pair.

Learn more about vertical angle on:

brainly.com/question/14362353

#SPJ1

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