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miss Akunina [59]
3 years ago
10

Self storage center is a storage room that is 8 feet long 6 feet wide and 10 feet high what is the volume of the room

Mathematics
1 answer:
Cerrena [4.2K]3 years ago
4 0

Answer:

480 cubic feet

Step-by-step explanation:

Given length of self storage = 8 feet

width of self storage = 6 feet

height of self storage = 10 feet.

Volume of rectangular object is calculated by formula

volume = length * width * height

substituting the value of  length , width and  height of  self storage room in above formula we have

volume of self storage room = 8 * 6* 10 cubic feet= 480 cubic feet

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Answer:

We can describe FOIL using the distributive property of multiplication. For real numbers x, y, and z the distributive property of multiplication states that

(x + y)z = xz + yz

Now let z = v + w, where v and w are real numbers.

Then (x + y)(v + w) = x(v + w) + y(v + w)

Here, we can again use the distributive property of multiplication to get

x(v + w) + y(v + w) = xv + xw + yv + yw

Hence, it follows that

(x + y)(v + w) = xv + xw + yv + yw

This is the method of FOIL (first: xv, outside: xw, inside: yv, last: yw)

For example, (1 + 2)(3 + 4) = 21 \\\text{and} \\1(3) + 1(4) + 2(3) + 2(4) = 3 + 4 + 6 + 8 = 21

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3 years ago
The Length of the side of the square A is twice the length of side of the square B. What is the ratio of the area square A to th
Nina [5.8K]

Answer:

1:2

Step-by-step explanation:

if the one side is twice the length that means that you need two of them to make the one thus the ratio 1 to 2

4 0
3 years ago
Simplify completely the quantity x squared plus x minus 12 over quantity x squared minus x minus 20 divided by the quantity 3 x
posledela
X² + x - 12 / x² - x - 20  ÷ 3x² - 24x + 45 / 12x² - 48x - 60

x² + x - 12 / x² - x - 20 * 12x² - 48x - 60 / 3x² - 24x + 45

<u>(x² + x - 12)(12x² - 48x - 60)</u>
(x² - x - 20)(3x² - 24x + 45)

<span><u>12x^4 - 48x³ - 60x² + 12x³ - 48x² - 60x - 144x² + 576x + 720</u>
</span>3x^4 - 24x³ + 45x² - 3x³ + 24x² - 45x - 60x² + 480x - 900
<span>
<u>12x^4 - 48x³ + 12x³ - 60x² - 48x² - 144x² - 60x + 576x + 720</u></span>
3x^4 - 24x³ - 3x³ + 45x² + 24x² - 60x² - 45x + 480x - 900

<u>12x^4 - 36x³ - 252x² + 516x + 720</u>
3x^4 - 27x³ + 9x² + 435x - 900

<u>12(x^4 - 3x³ - 21x² + 43x + 60)  </u>
  3(x^4 - 9x³ + 3x² + 145x + 300)

<u>4(</u><span><u>x^4 - 3x³ - 21x² + 43x + 60)  </u>
</span><span>  (x^4 - 9x³ + 3x² + 145x + 300)</span>
4 0
3 years ago
The diagram shows the graph of y = 2x + c, where c is a constant find the value of K.​
mote1985 [20]

Answer:

k=\frac{13}{2}

Step-by-step explanation:

The equation y=2x+c is a <em>linear equation</em>. By definition, the independent term on this equation (that is, the number that is not being multiplied by x) is the <em>y-intercept</em>, which is a fancy way of saying "the point where the line crosses the y-axis".

By looking at the equation, we know that our y-intercept is <em>c. </em>By looking at the graph, we can see that the y-intercept is -3. Therefore, c=-3 and we get the complete version of our linear equation:

y=2x-3

Now, looking at the graph we can see that the point (k,10) lies on the line of the equation, which means that the point is a solution to our equation. All we have to do is replace x and y by the values of the given point (which are k and 10, respectively), and then solve for k:

10=2k-3\\10+3=2k\\13=2k\\2k=13\\k=\frac{13}{2}

And we are done!

4 0
3 years ago
Read 2 more answers
Y-intercept = (0, 2)<br> slope = -3/7 what is the equation?
Marianna [84]

Answer:

y = -(3/7)x + 2

Step-by-step explanation:

(see attached)

recall that the slope-intercept form of a linear equation is

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where m = slope = given as -(3/7)

and b = y-intercept = 2

substituting these values into the eqation:

y = mx + b

y = -(3/7)x + 2

8 0
3 years ago
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