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castortr0y [4]
3 years ago
15

You are making a poster to support your friend for homecoming. Your original photo is 4 inches by 6 inches. You want the photo o

n the poster to be 3 feet by 412 feet. What is the scale factor of this dilation?
Mathematics
1 answer:
Lorico [155]3 years ago
5 0

Answer:

9.

Step-by-step explanation:

We have been given that dimensions of original photo are 4 inches by 6 inches. We want the photo on the poster to be of dimensions 3 feet by 4 1/2 feet.            

First of all we will convert dimensions of poster from feet to inches.

3\text{ feet}=3\times 12 \text{ inches}=36\text{ inches}

4\frac{1}{2}\text{ feet}=4.5\times 12 \text{ inches}=54\text{ inches}

Now let us compare sides of our original photo with corresponding sides of poster.

\frac{36}{4} =9          

Now let us compare the second pair of corresponding sides.

\frac{54}{6} =9

We have seen that sides of poster are 9 times the sides of our original photo, therefore, the scale factor of this dilation is 9.      

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ella [17]
"0.32 with a line above it" could refer to two possible numbers, either 0.\overline{32}=0.323232\ldots or 0.3\overline2=0.3222\ldots.

In either case, 0.32 will be the smaller of the two numbers simply because it terminates with two digits after the decimal point, while the others keep going, basically adding a small positive number to 0.32.
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Which ordered pair is the solution to the system of equation
Neporo4naja [7]

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Please, see the attached file.

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3 years ago
What is the quotation -3/8 divided by -1/4
Bumek [7]

Answer:

3/2

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
Resuelve con calculadora y escribe la regla utilizada
Anna11 [10]
36\times 100 = 3600\\\\8 \times 1000 = 8000\\\\5.6 \times 10 = 56\\\\5.6 \times 100 = 560\\\\5.6 \times 1000 = 5600\\\\2.12 \times 100 = 212

When you multiply by 10, 100, or 1000, you must move the decimal place over by how many zeroes there are. Once there is no more decimals, you add 0's to the end of the number until you are done.

For example, 5.6 x 1000

1000 has 3 zeroes.

That means we need to move the decimal spot 3 times.

5.6 x 1000 = 56 x 100

We got rid of the decimal but we still have 2 zeroes left. So now we just add 2 zeroes at the end of the number.

5.6 x 1000 = 56 x 100 = 5600

I hope that helps! :)
6 0
3 years ago
What is the equation of the circle with center (-3,1) that passes through the point (-5, 3)?
Natali5045456 [20]

Answer:

Option B) (x + 3)^2 + (y – 1)^2 = 8 is the correct answer.

Step-by-step explanation:

The equation of a circle with center (h,k) and radius r is given by:

(x-h)^2 + (y-k)^2 = r^2

Given

Center = (h,k) = (-3,1)

=> h = -3

=> k = 1

The distance between the center of circle and the point through which the circle passes will be the radius.

The distance formula is given by:

r = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2

Given

(x_1,y_1) = (-3,1)\\(x_2,y_2) = (-5,3)

Putting the values in the formula

r = \sqrt{(-5+3)^2+(3-1)^2}\\r = \sqrt{(-2)^2+(2)^2}\\r = \sqrt{4+4}\\r = \sqrt{8}

Putting the values of h,k and r in general form of equation

\{x-(-3)}^2\} +(y-1)^2 = (\sqrt{8})^2\\(x+3)^2+(y-1)^2 = 8

Hence,

Option B) (x + 3)^2 + (y – 1)^2 = 8 is the correct answer.

4 0
3 years ago
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