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skelet666 [1.2K]
3 years ago
12

Rectangle prism with length 20inches, width 18inches and height 10inches. Suppose water is pumped out of the aquarium at a rate

of 360in^3 per min. If the aquarium starts completely full how many mins will it take to empty it
Mathematics
1 answer:
Anettt [7]3 years ago
3 0

Answer:

10 minutes

Step-by-step explanation:

To solve this , we need to first calculate the volume of the rectangular prism. Let’s say this is V.

Mathematically, V = w h l where w, h and l are width , height and length respectively.

V = 20 * 18 * 10 = 3600 in^3

Now to get the number of minutes, we divide the volume by the draining rate.

That would be 3600/360 = 10 minutes

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The graph of which function passes through (0,3) and has an amplitude of 3?
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The choices are supposed to be
f(x) = sin x + 3
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The amplitude is the value of the numerical coefficient of sin or cos. The only possible answers are
f(x) = 3 sin x
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Next, the function must pass through the point (0,3)
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A. Write an expression for the area of the shaded region.
tekilochka [14]

Answer:

A. 25x² - 64

B. (5x + 8)(5x - 8)

Step-by-step explanation:

A. The area of the shaded region = area of the whole large square - area of the 4 smaller squares

= (5x*5x) - 4(4*4)

Area of shaded region = 25x^2 - 64

B. The expression, 25x^2 - 64, is the difference of two perfect squares, 25x² and 64. Therefore, apply the rule of factoring difference of two perfect squares.

Thus, a^2 - b^2 = (a + b)(a - b)

Therefore, the expression of the are of the shaded region can be expressed in factored form as:

25x^2 - 64 = (5x + 8)(5x - 8)

4 0
3 years ago
Pls Helps LOTS OF POINTS!
Stells [14]

<h2><u>PLEASE MARK BRAINLIEST!</u></h2>

Answer:

To find the scale factor, all you have to do is <em>divide a side value of one figure by its congruent side value on another figure. </em>

Step-by-step explanation:

To start:

  • The values 15 and 10 are both for the same congreunt side --> EF and E'F'
  • The values 4 and 6 are both for the same congreunt side --> DE and D'E'
  • The values 4 and 6 are both for the same congreunt side --> DG and D'G'
  • The values 8 and 12 are both for the same congreunt side --> FG and F'G'

So, to find the scale factor, all you have to do is divide the smaller congruent value from the larger congruent value.

Larger congruent value ÷ smaller congruent value = scale factor

              15                      ÷                10                        = scale factor

              \____________________/

                                    1.5

<h3>So, the scale factor is 1.5</h3>

To double check, we will use another congruent side to find the scale factor:

12 ÷ 8 = scale factor

1.5      = scale factor

<h3>So, the scale factor is most definitely 1.5</h3>

I hope this helps!

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Given that,

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Suppose the length of the circle 24 miles.

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Put the value into the formula

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Using formula of distance

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For second bicycles,

d'=5\times6

d'=30\ miles

Hence, The points where the two bicycles meet after every 6hr at 30 miles and 54 miles.

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