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ELEN [110]
3 years ago
15

Please help, ASAP thank you very much. Benton has an extension ladder than can only be used at a length of 10 feet, 15 feet, or

20 feet. He places the base of the ladder 9 feet from the wall and needs the top of the ladder to reach 12 feet. Which ladder length would Benton need to use to reach this height on the wall? A. 20 feet B. 10 feet C. 15 feet D. None of these ladder lengths would reach this height.
Mathematics
1 answer:
Evgen [1.6K]3 years ago
3 0
The answer is a because<span>
12 times 2 plus 16 times 2 is 56.
144 + 256 = 400
400 = Xx2
X = 20 feet.
</span>

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Am i correct?? <br><br>-- &gt; if i am wrong. show details on why.
Anna35 [415]

Answer:

Sorry to say that you are wrong,it should be the last choice

NP of the first triangle is 36,and it touches MP,and 36 is bigger than 33.Although it looks like same,it is not really the same.

Hope that helps.:)

8 0
3 years ago
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What is the value of y?
NeX [460]

The value of y in the triangle is 2√5

The triangle above is a right angle triangle.

Characteristics of a right angle triangle:

  • One of its angle is equals to 90 degrees
  • The sides can be found using Pythagoras theorem.

Using Pythagoras theorem

  • c² = a² + b²

where

c = hypotenuse(longest side)

a and b are the 2 other legs.

Therefore,

6² = 4² + y²

36 = 16 + y²

y² = 36 - 16

y² = 20

y = √20

y = 2√5

learn more on right angle triangle here:brainly.com/question/3770177?referrer=searchResults

7 0
2 years ago
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The solution to the inequality 5x - 4 &gt; 21 is represented by which number line?
andrew-mc [135]

Answer:

Step-by-step explanation:

Start with the given inequality and solve it for x.

First, add 4 to both sides:  5x > 25

Next, divide both sides by 5:  x > 5

The solution (set) is x > 5.

7 0
3 years ago
What is the sum of all values of m that satisfy 2m (squared) -16m+8=0?
vodomira [7]
<h2>Steps:</h2>

So for this, we will be completing the square to solve for m. Firstly, subtract 8 on both sides:

2m^2-16m=-8

Next, divide both sides by 2:

m^2-8m=-4

Next, we want to make the left side of the equation a perfect square. To find the constant of this perfect square, divide the m coefficient by 2, then square the quotient. In this case:

-8 ÷ 2 = -4, (-4)² = 16

Add 16 to both sides of the equation:

m^2-8m+16=12

Next, factor the left side:

(m-4)^2=12

Next, square root both sides of the equation:

m-4=\pm \sqrt{12}

Next, add 4 to both sides of the equation:

m=4\pm \sqrt{12}

Now, while this is your answer, you can further simplify the radical using the product rule of radicals:

  • Product rule of radicals: √ab = √a × √b

√12 = √4 × √3 = 2√3.

m=4\pm 2\sqrt{3}

<h2>Answer:</h2>

In exact form, your answer is m=4\pm \sqrt{12}\ \textsf{OR}\ m=4\pm 2\sqrt{3}

In approximate form, your answers are (rounded to the hundreths) m=7.46, 0.54

6 0
3 years ago
The Smith family is shopping for a new car and they are basing their decision on color and style. Explain how many color choices
Yanka [14]
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3 years ago
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