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DIA [1.3K]
3 years ago
10

What is the easiest way to explain how to dilate an object/ shape

Mathematics
2 answers:
Nat2105 [25]3 years ago
4 0
<span><span>


</span>   <span><span>Dilation - of a polygon</span> A transformation in which a polygon is enlarged or reduced by a given factor around a given center point. Try this Adjust the slider on the right to change the scale factor. Drag the center point O. Dilation is where the polygon grows or shrinks but keeps the same overall shape. It's a little like zooming in or out on a camera. In the figure above, the polygon is a rectangle ABCD. As you adjust the slider on the right, the transformed rectangle A'B'C'D gets bigger and smaller, but remains the same shape</span></span>
Anit [1.1K]3 years ago
4 0
To dilate a shape means ur either going to make it larger or ur going to make it smaller. U will do this by multiplying every side of ur shape by a certain number.

if u r dilating it from a smaller shape to a larger shape, u would multiply it by a whole number.

if u r dilating it from a larger shape to a smaller shape, they u would multiply it by a fraction less then 1.

example :
u have a larger shape with one side measuring 6 inches...and u have another one (the smaller one) with the side that is 2 inches. To find the scale factor...it basically is set up like this : 6 * ? = 2....6x = 2....x = 2/6 which reduces to 1/3....meaning for every side of the big shape, multiply it by 2/3 to get the size of the small shape...notice how from going bigger to smaller, u r multiplying by a fraction to get the sizes of the smaller shape.

now if u have a smaller shape with a side measuring 2 inches...and a larger shape with a side measuring 6 inches (going from smaller to larger), u would multiply everything on the small shape by 3 because 2 * 3 = 6. So the scale factor would be 3. so going from smaller to larger, u r multiplying by a whole number
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Ken invests 6,000 into two accounts one account earns 8% interest and the other earns 12% interest after one year his total inte
Len [333]

Answer: ken invested $3500 in the 8% account.

Step-by-step explanation:

Let x represent the amount invested in the account earning 8% interest.

Let y represent the amount invested in the account earning 12% interest.

Ken invests 6,000 into two accounts one account earns 8% interest and the other earns 12% interest. This means that

x + y = 6000

The formula for simple interest is expressed as

I = PRT/100

Where

P represents the principal

R represents interest rate

T represents time in years

I = interest after t years

Considering the account earning 8%

I = (x × 8 × 1)/100 = 0.08x

Considering the account earning 12%

I = (y × 12 × 1)/100 = 0.12y

After one year, his total interest earned from the two accounts totaled $580 . This means that

0.08x + 0.12y = 580 - - - - - - - - - - 1

Substituting x = 6000 - y into equation 1, it becomes

0.08(6000 - y) + 0.12y = 580

480 - 0.08y + 0.12y = 580

- 0.08y + 0.12y = 580 - 480

0.04y = 100

y = 100/0.04

y = 2500

x = 6000 - y = 6000 - 2500

x = 3500

7 0
3 years ago
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Find the value of the term in the arithmetic sequence.<br><br>answer options are in the picture
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3 years ago
Identifying a binomial experiment In a study conducted by the sponsoring organization of an academic conference, attendees were
sp2606 [1]

Answer:

1, this is a binomial experiment.

Step-by-step explanation:

this is a binomial experiment. Since it is general outcome, the probability of success is 0.50, that is 50 percent.

we have that X follows the binomial distribution

X ~ Binomial(n = 3, p = 0.50)

we have 3 outcomes( general, applied, theoretical).

mean = E(X)

= np

= 3(0.5)

= 1.5

standard deviation = σ = √np(1-p)

= √3(0.5)(1-0.5)

= √1.5(0.50)

= √0.75

= 0.8660

the mean = 1.5

the standard deviation = 0.8660

4 0
3 years ago
Car Acosts $10 36 per 100 miles to drive, while car B costs $6.64 per 100 miles to drive How much more would car A cost to drive
Ulleksa [173]

Answer:

$21.58 or $21.576

Step-by-step explanation:

580 ÷ 100 = 5.8

$10.36 × 5.8 = $60.088

$6.64 × 5.8 = 33.512

60... - 33... = $21.576

4 0
3 years ago
Read 2 more answers
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