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Naya [18.7K]
2 years ago
10

B) 36 kg in the ratio 1:3:5​

Mathematics
1 answer:
ale4655 [162]2 years ago
8 0

9514 1404 393

Answer:

  4 kg : 12 kg : 20 kg

Step-by-step explanation:

The total number of "ratio units" is 1+3+5 = 9, so each of them represents ...

  (36 kg)/9 = 4 kg

Multiplying the given ratio by 4 kg will show the appropriate division:

  1(4 kg) : 3(4 kg) : 5(4 kg) = 4 kg : 12 kg : 20 kg

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Find the perimeter of this figure. Enter your answer in the box.
diamong [38]

Answer:

56 total units

Step-by-step explanation:

Here is what the plane would look like if the figure and points were drawn.

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iren2701 [21]

Answer:

2. 1,3,5

Step-by-step explanation:

4 = 18.00

4\sqrt{18.00 = 4.50

4.50 x 6 = 25.20

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valina [46]

Part (a)

<h3>Answer: x^3 + 12x^2 + 47x + 60</h3>

--------------------------

Work Shown:

Let's say we have

  • L = length = x+5
  • W = width = x+4
  • H = height = x+3

To find the volume of the block, we multiply the length width and height.

So,

volume = (length)*(width)*(height)

V = L*W*H

V = LW*(x+3) .... replace H with (x+3)

V = LW*x + LW*3 .... distribute

V = Lx*(W) + 3L*(W)

V = Lx(x+4) + 3L(x+4) .... replace W with x+4

V = Lx^2 + 4Lx + 3Lx + 12L .... distribute

V = Lx^2 + 7Lx + 12L

V = x^2*(L) + 7x*(L) + 12*(L)

V = x^2*(x+5) + 7x*(x+5) + 12*(x+5) .... replace L with x+5

V = x^3 + 5x^2 + 7x^2 + 35x + 12x + 60 .... distribute

V = x^3 + 12x^2 + 47x + 60

x^3 + 12x^2 + 47x + 60 is the polynomial in standard form that represents the volume of the block.

=======================================================

Part (b)

<h3>Answer: 336 cubic feet</h3>

--------------------------

Work Shown:

We can plug x = 3 into the polynomial we found

V = x^3 + 12x^2 + 47x + 60

V = (3)^3 + 12(3)^2 + 47(3) + 60

V = 27 + 12(9) + 47(3) + 60

V = 27 + 108 + 141 + 60

V = 336

Or we could find the volume like this

V = L*W*H

V = (x+5)*(x+4)*(x+3)

V = (3+5)*(3+4)*(3+3)

V = (8)*(7)*(6)

V = 336

Either way, we get the same volume of 336 cubic feet.

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3 years ago
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