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Wittaler [7]
1 year ago
11

Enlarge the triangle by scale factor 0.5 using (3, 1)

Mathematics
1 answer:
Viefleur [7K]1 year ago
6 0

The center after enlargement using scale factor is (4.5,0.5).

What is Scale factor ?

  The ratio between the scale of an original thing and a new object that is a representation of it but is a different size is known as a scale factor (bigger or smaller). For instance, if a rectangle has sides of 2 cm and 4 cm, it can be made larger by multiplying each side by a certain number, in this case 2.

Here the given coordinate point is,

=> (x,y)=(3,1)

Now enlarging the coordinator using scale factor k

=> (x,y)= (kx,ky)

Now put k=2 then

=> (x,y)=(0.5*3, 0.5*1)

=>(x,y) = (4.5,0.5)

Hence the answer is (4.5,0.5).

To learn more about scale factor

brainly.com/question/23652612

#SPJ13

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A house painter was told by his boss to purchase enough paint to cover 75 square feet to finish a project. The house painter hap
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It must be noted that the area of the square is calculated through the equation,
                                    A = s²
where A is area and s is the measure of one side of the square. 
To determine the measure of one side of the square, we simply have to get the square root of the area,
                                               s = √A
Substituting the known value,
                                                s = √75 ft² = 5√3 ft ≈ 8.66 cm
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7 0
3 years ago
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A rectangular tank with a square​ base, an open​ top, and a volume of 8 comma 7888,788 ft cubedft3 is to be constructed of sheet
Vlad [161]

Answer:

  26 ft square by 13 ft high

Step-by-step explanation:

The tank will have minimum surface area when opposite sides have the same total area as the square bottom. That is, their height is half their width. This makes the tank half a cube. Said cube would have a volume of ...

  2·(8788 ft^3) = (26 ft)^3

The square bottom of the tank is 26 ft square, and its height is 13 ft.

_____

<em>Solution using derivatives</em>

If x is the side length of the square bottom, the height is 8788/x^2 and the area is ...

  x^2 + 4x(8788/x^2) = x^2 +35152/x

The derivative of this is zero when area is minimized:

  2x -35152/x^2 = 0

  x^3 = 17576 = 26^3 . . . . . multiply by x^2/2, add 17576

  x = 26

_____

As the attached graph shows, a graphing calculator can also provide the solution.

5 0
3 years ago
John takes out a loan for $ 10 , 000 at a simple interest rate of 5 % to be paid back in 36 monthly installments.
andrew-mc [135]

The monthly principal and interest payment John will pay monthly is $3,750.04

<h3>What is the amount of principal and interest repayment?</h3><h3 />

Given:

  • P = 10,000
  • i = 5% / (12 months) = 0.375
  • L = 36 months

M = 10000 \times  \frac{0.375}{ {1 - (1 + 0.375)}^{ - 36} }

M = 10000 \times  \frac{0.375}{ {1 - (1.375)}^{ - 36} }

M = 10000 \times  \frac{0.375}{ {1 - (0.00001049791)} }

M = 10000 \times  \frac{0.375}{ 0.99998950208 }

M = 10000  \times  0.37500393675

M = 3750.03936758

Approximately,

M = $3,750.04

Therefore, John will be be repaying $3,750.04 monthly including principal and interest

Read more on simple interest:

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6 0
1 year ago
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