Divide 3584 by 28 and please explain

Mathematics

1 answer:

kakasveta [241]3 years ago

6 0

Answer:

$3584 \div 28 \\ \\ = 128$

our post which explains the division of three thousand, five hundred and eighty-four by twenty-eight to you.

The number 3584 is called the numerator or dividend, and the number 28 is called the denominator or divisor.

The quotient of 3584 and 28, the ratio of 3584 and 28, as well as the fraction of 3584 and 28 all mean (almost) the same:

3584 divided by 28, often written as 3584/28.

Read on to find the result of 3584 divided by 28 in decimal notation, along with its properties

Here we provide you with the result of the division with remainder, also known as Euclidean division, including the terms in a nutshell:

The quotient and remainder of 3584 divided by 28 = 128 R 0

The quotient (integer division) of 3584/28 equals 128; the remainder (“left over”) is 0.

3584 is the dividend, and 28 is the divisor.

In the next section of this post you can find the frequently asked questions in the context of three thousand, five hundred and eighty-four over twenty-eight, followed by the summary of our information.

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A rectangle is inscribed in a right isosceles triangle, such that two of its vertices lie on the hypotenuse, and two other on th

Ronch [10]

Refer to the attachment for the diagram of the problem.

Let us call the two identical sides of the isosceles triangle with s. Since we know that the hypotenuse measures 45 inches, we can find s by using the Pythagorean Theorem:
$45^{2} = s^{2}+ s^{2}$
$45^{2} = 2s^{2}$
$45^{2} = 2s^{2}$
$1012.5 = s^{2}$
$s=31.82$

We can notice that the figure will have similar triangles with the smaller triangle having one length equal to 5x. We then compute for the equivalent hypotenuse of the smaller triangle (denoted as y).
$\frac{31.82}{5x} = \frac{45}{y}$
$y=7.07x$

We can then solve for the value of x by applying the Pythagorean Theorem in the smaller triangle.
$(7.07x)^{2} = (5x)^{2}+ (31.82-2x)^{2}$
$50x^{2} = 25x^{2}+ 1012.5-127.28x+4x^{2}$
$0= -21x^{2}-127.28x+1012.5$
$x=4.55,-10.61$

We ignore the negative value since there is no negative side. x is therefore 4.55 thus the dimensions of the rectangle would be 22.75 and 9.1. For the other case, the dimensions would simply be inverted since we would be dealing with a rectangle with its width longer than its length.