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balandron [24]
3 years ago
12

The volume of a box can be found by multiplying the length times width times height of a box (v=lwh). If the volume of a box is

1,300 cubic inches and its dimensions are equal what is the length of the box in inches
Mathematics
2 answers:
Andrej [43]3 years ago
8 0

Answer:

  about 10.924 inches

Step-by-step explanation:

If all of the dimensions are equal, the box is a cube. Its side length is the cube root of the volume.

  V = s³

  s = ∛V = ∛1300 ≈ 10.913929 . . . . inches

ad-work [718]3 years ago
4 0

Answer:

10.9

Step-by-step explanation:

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dexar [7]

Answer:i would say 1

Step-by-step explanation:

6 0
3 years ago
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ohaa [14]

9514 1404 393

Answer:

  • scale factor: 3
  • rule: (x, y) ⇒ (3x +15, 3y -24)
  • center: (-7.5, 12)

Step-by-step explanation:

The scale factor can be found by comparing the length of CB to the length of RQ.

  B-C = (-2, 8) -(-4, 9) = (2, -1)

  Q-R = (9, 0) -(3, 3) = (6, -3)

The length of RQ is clearly 3 times the length of CB, so the scale factor (k) is ...

  ratio of corresponding differences = 6/2 = -3/-1 = 3 . . . . . scale factor

__

We know that for dilation about a point O, the distance from O is multiplied by the scale factor. For dilation of point B to point Q, this means ...

  k(B -O) = (Q -O)

Solving for Q, we get ...

  Q = kB -kO +O . . . . this is what our dilation rule will look like.

The quantity O-kO can be found by subtracting kB:

  Q -kB = O -kO = O(1 -k)

This is what we need for our dilation rule.

  Q -kB = (9, 0) -3(-2, 8) = (9+6, 0-24) = (15, -24)

So, our dilation rule is ...

  (x, y) ⇒ k(x, y) +(15, -24)

  (x, y) ⇒ (3x +15, 3y -24) . . . . . dilation rule

__

The center of dilation can be found from ...

  (Q -kB)/(1 -k) = O

  O = (15, -24)/(1 -3) = (-7.5, 12)

The center of dilation is (-7.5, 12).

_____

<em>Additional comments</em>

On the graph, the center of dilation can be found by drawing a line through a point and its image. (Points are always dilated along a line through the center of dilation.) The intersection of two such lines is the center of dilation.

On this graph, the center is just above the top edge of the chart, at point (-7.5, 12). You can see this if you carefully draw lines BQ and AP.

You usually have coordinates for two original points and two image points, so finding the scale factor the way we did is not difficult. If you just have one point on the original and the image, the scale factor is found by finding their distances from the center of dilation. Each image point is k times as far as each original point from that center.

7 0
3 years ago
Celia bought a bag of 1212 goldfish for \$3$3. What is the cost of 11 goldfish?
Anvisha [2.4K]
$2.75
it would most likely be 4 goldfish for $1
7 0
3 years ago
Kylie explained that (negative 4 x + 9) squared will result in a difference of squares because (negative 4 x + 9) squared = (neg
Eva8 [605]

Given:

The given expression is:

(-4x+9)^2

According to Kylie,

(-4x+9)^2=(-4x)^2+(9)^2

(-4x+9)^2=16x^2+81

To find:

The correct statement for Kylie's explanation.

Solution:

We have,

(-4x+9)^2

According to the perfect square trinomial (a+b)^2=a^2+2ab+b^2.

(-4x+9)^2=(-4x)^2+2(-4x)(9)+(9)^2

(-4x+9)^2=16x^2-72x+81

Kylie did not understand that this is a perfect square trinomial, and she did not determine the product correctly.

Therefore, the correct option is C.

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3 years ago
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Dmitrij [34]
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3 years ago
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