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olga2289 [7]
3 years ago
13

What is the scale factor of the dilation

Mathematics
2 answers:
Fittoniya [83]3 years ago
8 0
The scale factor would be 2, since the image is 2 times bigger than the pre-image.

Hope this helps! :) I did this last year, so this is the correct answer! ;)
Darya [45]3 years ago
5 0

Answer:  The answer is 2.

Step-by-step explanation:  We are given to find the scale factor for the dilation of a triangle shown in the figure.

The triangle ABC is dilated to form the triangle A'B'C'.

To find the scale factor, we need to divide the length of one side of the dilated triangle A'B'C' by the length of the corresponding side of the original triangle ABC.

From the figure, we note that

AB = 5 units  and  A'B' = 10 units.

Therefore, the scale factor will be

S_f=\dfrac{A'B'}{AB}=\dfrac{10}{5}=2.

Thus, the answer is 2.

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A new car sells for $27,500. The value of the car decreases by 14% annually. You want to sell the car when it's worth about $400
NemiM [27]

Answer: 13 years.

Step-by-step explanation:

The price decreases by 14% anually

To find the decimal form, you have 14%/100% = 0.14

So, the year zero, the price is $27,500

After one year, the price is:

P = $27,500 - 0.14*$27500 = $27,500*(0.86)

After the second year, the price is:

P = $27,500*(0.86)^2

and so on, so we want to find x such that:

P = $27,500*(0.86)^x = $4000

0.86^x = $4000/$27,500

Now, using the natural logaritm rule:

a^x = b

x = ln(a)/ln(b)

x = ln($4000/$27,500)/ln(0.86) = 12.8

We can round it up to 13, so after 13 years the price of the car is about $4000

7 0
3 years ago
The prisms and two nets shown below:<br><br> Plzzz answer part A B and C for BRILLIANT ANSWER
Arlecino [84]
Part A: Net A is correct
Net B is incorrect because de triangular sides do not close the opening left in both sides.

Part B: AB=3 in., BC=5in., CD=8.6in.

Part C: The surface area of the prism is the area of the the big rectangle in the net + the area of the 2 triangles

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8.6• ( 3+4+5)= 103.2 in ^2
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3•4 =12 in^2

Surface area of prism is 103.2+12=115.2 in^2
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3 years ago
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8 0
3 years ago
Plz help with the math worth 21 points
irinina [24]

Answer:

As there is one math problem over there.

Lets see the question first:

It says that "A hair dryer is rated 1200\ W,if you use the dryer for 0.25\ h.How much electric energy do you use ?"

Final answer = Electic energy =0.3\ kW\ h

Step-by-step explanation:

Electrical Energy E=Power \times time.

The total amount of electrical energy used depends on the total power used by the electrical device and the total time they are used for.

So we have been given the power of the hair dryer =1200\ W =\frac{1200}{1000}=1.2\ kW

Now the time it has been use for =0.25\ hrs

To calculate electric energy we will multiply both the terms.

Electric energy =0.12 \times 0.25 =0.3\ kW\ h

So electric energy used for the hairdryer is =0.3\ kW\ h

7 0
3 years ago
Which part of the graph will the directrix pass through?
OLEGan [10]

Answer:

A

Step-by-step explanation:

I just did it

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