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Lesechka [4]
3 years ago
12

A rectangle patio that originally measured 5 feet by 10 feet was extended on one side each by x feet. The area of a new, larger,

L-shaped extension is 126 feet.
Write an equation that could be used to solve for x.

Explain how you arrived at your equation.

Find the value of x by solving your equation.
Mathematics
1 answer:
Neporo4naja [7]3 years ago
5 0
We solve for the area of the original triangle and solution is shown below:
Original triangle area = LW = 5*10 = 20 squared units

If we extend this x on one side that resulted to L-shaped, we have the new area such as shown below:
New area = (L+X) (W)
126 = (5+x) * 10
126/10 = 5+x
12.6 - 5 = x
7.6 =x

I. The equation that could be used to solve for x is below:
126 = (5+x)*w
II. We arrived on this because of the statement that "x is added to one side that resulted to L-shaped rectangle, therefore it is added on 5 ft side"
III. The value of x is equal to 7.6 ft.
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Somebody please help. And be fr cause I’ll give that brainilest or whatever it’s called but please be the right answer.
bearhunter [10]
130 you multiply the left side by 13 to get the right side.
8 0
3 years ago
Suppose you have a light bulb that emits 50 watts of visible light. (Note: This is not the case for a standard 50-watt light bul
natali 33 [55]

Answer:

0.049168726 light-years

Step-by-step explanation:

The apparent brightness of a star is

\bf B=\displaystyle\frac{L}{4\pi d^2}

where

<em>L = luminosity of the star (related to the Sun) </em>

<em>d = distance in ly (light-years) </em>

The luminosity of Alpha Centauri A is 1.519 and its distance is 4.37 ly.

Hence the apparent brightness of  Alpha Centauri A is

\bf B=\displaystyle\frac{1.519}{4\pi (4.37)^2}=0.006329728

According to the inverse square law for light intensity

\bf \displaystyle\frac{I_1}{I_2}=\displaystyle\frac{d_2^2}{d_1^2}

where

\bf I_1= light intensity at distance \bf d_1  

\bf I_2= light intensity at distance \bf d_2  

Let \bf d_2  be the distance we would have to place the 50-watt bulb, then replacing in the formula

\bf \displaystyle\frac{0.006329728}{50}=\displaystyle\frac{d_2^2}{(4.37)^2}\Rightarrow\\\\\Rightarrow d_2^2=\displaystyle\frac{0.006329728*(4.37)^2}{50}\Rightarrow d_2^2=0.002417564\Rightarrow\\\\\Rightarrow d_2=\sqrt{0.002417564}=\boxed{0.049168726\;ly}

Remark: It is worth noticing that Alpha Centauri A, though is the nearest star to the Sun, is not visible to the naked eye.

7 0
3 years ago
What's rotational symmetry?<br> Can u give a full on explanation?<br> PLS
prohojiy [21]
There is rotational symmetry if there is a center around the object that is turned or rotated a certain amount of degrees and the shape isn't changed.
4 0
3 years ago
The equation below can be used to find the length of a foot or forearm when you know one or the other. (length of the foot) = 0.
3241004551 [841]
This is child's play. 

So, basically:
Y=Length of foot
X= Length of your forearm. 
This is simple. Your equation is Y=0.860x + 3.302
So, if you have a forearm (x) that is 17 inches long, then plug in x as 17. This leaves you to evaluate for Y.
New equation: Y=0.860(17) +3.302
Work it out, you get: Y=14.62 + 3.302
Work that out, you get: Y= 17.922 inches long. 
And of course, Y is the foot.

So, your answer: If the forearm is 17 inches long, then the foot is 17.922 inches long. Simple.

So, part 2:
Rate of change. Well, you need slope then, because that's the same thing.
Y=mx+b, Where m=slope
Your answer turns to be 0.860 inches per length of arm, for rate of change.

Skipping the data, as that's only something you'd know.

Yes, it is indeed a function. There can't be any exponents greater than 1 on the placeholder, and it's obviously not a straight line if you plug it in. 

So yeah, it's a function.

~Hope this helps m8







5 0
3 years ago
Read 2 more answers
ANYONE GOOD AT MATH...SOLVE FOR ZEROS, PRE-CALC
ad-work [718]

Answer:

I think this is the link for the answer I hope this helps :) Solve 0=x^3-12x^2+35x-24 Tiger Algebra Solver

Step-by-step explanation:

5 0
3 years ago
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