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Evgesh-ka [11]
1 year ago
7

The perimeter of a rectangle is 44 inches. If the width of the rectangle is four more than half the length, find the length of t

he rectangle.
Mathematics
1 answer:
Mars2501 [29]1 year ago
6 0

Answer: the length of the rectangle is 12 inches

Step-by-step explanation:

Let the length of the rectangle is x inches

Hence, the width is (x/2)+4 inches

Thus,

\displaystyle\\2(x+(\frac{x}{2} +4))=44\\\\2x+x+8=44\\\\3x+8=44\\\\3x+8-8=44-8\\\\3x=36\\

Divide both parts of the equation by 3:

x=12\ inches

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The place value of the number 6 is the ten thousands place.
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Please help with a, b, and c!!
padilas [110]
(a). 
The product of two binomials is sometimes called FOIL.
It stands for ...

       the product of the First terms                (3j  x  3j)
plus
       the product of the Outside terms          (3j  x  5)
plus
       the product of the Inside terms            (-5  x  3j)
plus
       the product of the Last terms                (-5  x  5)

FOIL works for multiplying ANY two binomials (quantities with 2 terms).

Here's another tool that you can use for this particular problem (a).
It'll also be helpful when you get to part-c .

Notice that the terms are the same in both quantities ... 3j and 5 .
The only difference is they're added in the first one, and subtracted
in the other one.

Whenever you have     

              (the sum of two things) x (the difference of the same things)

the product is going to be

                 (the first thing)²  minus  (the second thing)² .

So in (a), that'll be      (3j)² - (5)²  =  9j² - 25 .

You could find the product with FOIL, or with this easier tool.
______________________________

(b).
This is the square of a binomial ... multiplying it by itself.  So it's
another product of 2 binomials, that both happen to be the same:

                            (4h + 5) x (4h + 5)  .

You can do the product with FOIL, or use another little tool:

The square of a binomial        (4h + 5)²    is ...

         the square of the first term               (4h)²
plus
         the square of the last term                (5)²
plus
         double the product of the terms      2 · (4h · 5)
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(c).
Use the tool I gave you in part-a . . . twice .

The product of the first 2 binomials is           (g² - 4) .

The product of the last 2 binomials is also    (g² - 4) .

Now you can multiply these with FOIL,
or use the squaring tool I gave you in part-b .

5 0
3 years ago
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Naddik [55]

Answer:

This is a normal distribution and we can use the standard score to compute for probabilities. We compute the standard score of the given.

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I hope this helped! <3

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Have an amazing day :)
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