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sleet_krkn [62]
1 year ago
7

Can you Afford to Enlarge this?You each want to have a 3" X 5' picture ofprinted so that you canput it on your dartboard. It cos

t $.10 per square inch to have it printed. Howmuch would it cost?You want to quadruple the dimensions of the picture so that the resulting poster islarge enough to throw the darts. The local press shop charges $.10 per squareinch for enlargements. You only have $2000 to spend. Can you afford to have thepicture enlarged?In addition to using the ACE process to answer this question, justify your answermathematically and with a picture.
Mathematics
1 answer:
Marizza181 [45]1 year ago
3 0

Given:

\text{ Dimension = 3}\times5

Sol:

Area of picture is:

\begin{gathered} =\text{ length}\times\text{ Width} \\  \\ =15 \end{gathered}

If the cost $10 per square inch then price of 15 square inch is:

\begin{gathered} =15\times10 \\  \\ =150 \end{gathered}

If the quadruple of dimension that mean:

\begin{gathered} \text{ l ength = 4 length} \\  \\ Width\text{ = 4 width} \end{gathered}

So area is:

\begin{gathered} A=4\text{ length}\times4\text{ Width} \\  \\ A=4(15) \\  \\ A=60 \end{gathered}

So price is:

\begin{gathered} =60\times10 \\  \\ =600 \end{gathered}

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The production floor of a manufacturing company has 73210 employees working in 2 phase. Of 22019 employees work in the first pha
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There are 51,191 employees working in the second phase

The production floor has a total number of 73210 employees that work in 2 phases

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The number of employees that work in phase one can be calculated as follows

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8 0
2 years ago
Point A is located at (-5, 2) on a coordinate grid. Point A is translated 8 units to the right and 3 units up to create point A.
Molodets [167]

The closest distance between point A and point A' is 8.5 ⇒ B

Step-by-step explanation:

Let us revise the translation of a point

  • If the point (x , y) translated horizontally to the right by h units  then its image is (x + h , y)
  • If the point (x , y) translated horizontally to the left by h units  then its image is (x - h , y)
  • If the point (x , y) translated vertically up by k units  then its image is (x , y + k)
  • If the point (x , y) translated vertically down by k units  then its image is (x , y - k)

∵ Point A is located at (-5 , 2)

∵ Point A is translated 8 units to the right and 3 units up

- That means add x-coordinate by 8 and add y-coordinate by 3

∴ Point A' located at (-5 + 8 , 2 + 3)

∴ Point A' located at (3 , 5)

The distance between two points (x_{1},y_{1}) and (x_{2},y_{2})

is d=\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}

∵ Point a = (-5 , 2) and point A' = (3 , 5)

∴ x_{1} = -5 and x_{2} = 3

∴ y_{1} = 2 and y_{2} = 5

- Substitute these values in the rule of the distance

∵ d=\sqrt{(3--5)^{2}+(5-2)^{2}}

∴ d=\sqrt{(3+5)^{2}+(3)^{2}}

∴ d=\sqrt{(8)^{2}+(3)^{2}}

∴ d=\sqrt{64+9}=73

∴ d = 8.544 ≅ 8.5

The closest distance between point A and point A' is 8.5

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