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Oxana [17]
3 years ago
13

A ladder is leaning against a building. the distance from the bottom of the ladder to the building is 8 ft less than the length

of the ladder. how high up the side of the building is the top of the ladder if that distance is 11 ft less than the length of the​ ladder?
Mathematics
1 answer:
Elza [17]3 years ago
7 0
<span>assume problem is right triangle with sides (l-8), (l-4), and hypotenuse of l 
pythagorous theorem states c^2 = a^2 + b^2 
l^2 = (l-8)^2 + (l-4)^2 
</span>l^2 = ( l^2 -16 * l +64) + (l^2 -8*l +16) <span>L^2 = 2*l^2 - 24*l + 80 
0 = l^2 -24*l + 80 
factoring 0 = ( l -20) ( L-4) 
l-20 = 0. l=+20 
l-4 = 0, l=4 but l-8 and l-4 are positive lengths therefore l cannot equal 4 
sides of triangle are 20, l-8 = 12, and l-4 =16 ( height up bldg)

</span><span>L^2 = 2*l^2 - 24*l + 80 
0 = l^2 -24*l + 80 
factoring 0 = ( l -20) ( L-4) 
l-20 = 0. l=+20 
l-4 = 0, l=4 but l-8 and l-4 are positive lengths therefore l cannot equal 4 
sides of triangle are 20, l-8 = 12, and l-4 =16 ( height up bldg)</span>

Your answer is going to be 16.
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Sphinxa [80]

so you can either do pounds per dollar or dollars per pound:

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i hope this helped, based on the question i believe that it is dollars per pound but its good to know both and have a nice day


5 0
3 years ago
One leg of a right isosceles Triangle is 6ft what is The area of The Triangle
AVprozaik [17]

Answer:

18ftx^{2}

Step-by-step explanation:

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john read the first 114 pages of a novel which is 3 pages less than 1/3 of the novel. write the equation
tatyana61 [14]

The equation is:

114=\frac{p}{3}-3

And

Total number of pages are 351

Step-by-step explanation:

The equation has to be formed by using the given information.

Let p be the total number of pages in the novel

Then

1/3rd of the p will pe:

\frac{p}{3}

Total pages read by John = 114

Then according to the statement

114=\frac{p}{3}-3

We can solve the equation to get the total pages of the novel

114=\frac{p}{3}-3\\Adding\ 3\ on\ both\ sides\\114+3=\frac{p}{3}-3+3\\117=\frac{p}{3}\\Multiplying\ both\ sides\ by\ 3\\3*117 = \frac{p}{3}*3\\p=351

The equation is:

114=\frac{p}{3}-3

And

Total number of pages are 351

Keywords: Linear equation, variable

Learn more about linear variable at:

  • brainly.com/question/9196410
  • brainly.com/question/9178881

#LearnwithBrainly

8 0
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[(4x + 15) / 5x)] = 1/2
Arada [10]
One way in which to approach this problem would be to treat it as an equation of ratios and to cross multiply:

<span>[(4x + 15) / 5x)] = 1/2  could be written as:

4x + 15        1
----------- =  ---
     5x           2

Then 8x + 30 = 5x

3x = -30,  and so     x = -10 (answer).  Be certain to check this answer through substitution!

</span>
6 0
3 years ago
Which graph represents a function that is decreasing at a nonconstant rate?
Tasya [4]

Answer: C

since the line isn't straight, the slope/function is decreasing but not at a constant rate

3 0
3 years ago
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