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3 years ago

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Kathy was building a bed for her dollhouse. She used her bed, which is 3 feet × 5 feet, as a guide. She scaled down the dimensio

ns of her bed by a factor 1 over 5. What are the dimensions of the model bed she built?

2 answers:

olga_2 [115]3 years ago

7 0

I think that it is half an inch by 1 inch?

Arisa [49]3 years ago

4 0

0.6 x 01 is your answer for this question. (I had this for a test once)

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What are the coordinates of the image of the point (1-, 2) under a dilation of 3 with the origin

Gemiola [76]

Answer:

The image of the point (1, -2) under a dilation of 3 is (3, -6).

Step-by-step explanation:

Correct statement is:

<em>What are the coordinates of the image of the point (1, -2) under a dilation of 3 with the origin.</em>

From Linear Algebra we get that dilation of a point with respect to another point is represented by:

$\vec P' = \vec R + r\cdot (\vec P-\vec R)$ (Eq. 1)

Where:

$\vec R$ - Reference point with respect to origin, dimensionless.

$\vec P$ - Original point with respect to origin, dimensionless.

$r$ - Dilation factor, dimensionless.

If we know that $\vec R = (0,0)$ , $\vec P = (1, -2)$ and $r = 3$ , then the coordinates of the image of the original point is:

$\vec P' = (0,0) +3\cdot [(1,-2)-(0,0)]$

$\vec P' = (0,0) + 3\cdot (1,-2)$

$\vec P' = (3,-6)$

The image of the point (1, -2) under a dilation of 3 is (3, -6).

4 0

3 years ago

Morgan writes the expression

DerKrebs [107]

He didn’t follow PEMDAS which is the an acronym for the order of operations. according to pemdas the first step is parenthesis (which is the p in pemdas) there fore the first step is to add the 1 and the 2
then since there are no exponents you multiply so you multiple 5(3) which is 15
then you can add all the number left to right
so 15+2+3= 20
so the answer is 20
hope this helped
let me know if you have any questions

5 0

4 years ago

-5(5x + 4)<br> Please Solve

Rufina [12.5K]

-25x-20
This should be right

3 0

3 years ago

Read 2 more answers

A rectangle as an area of 240 square ft the base is 15 what is the height of the rectangle

zhannawk [14.2K]

Answer:

16 ft

Step-by-step explanation:

Hi there,

The formula for the area of a rectangle is A = b*h.

So, let's start out by plugging in what we know.

240 = 15h

Now, solve for h by dividing both sides by 15

h = 16

So, the height of the rectangle is 16 ft

Hope this helps! Stay safe!

- Emily

5 0

3 years ago

What is the hypotenuse of a right triangle if the legs are each 20 inches long? Round to the nearest whole number. A. 28 B. 29 C

marusya05 [52]

Answer:

The answer is A.

Step-by-step explanation:

You have to apply Pythagoras Theorem :

${c}^{2} = {a}^{2} + {b}^{2}$

$let \: a = 20,b = 20$

${c}^{2} = {20}^{2} + {20}^{2}$

${c}^{2} = 800$

$c = \sqrt{800}$

$c = 28 \: (nearest \: whole \: no.)$

P.S (Take note):

Pythagoras Theorem can only applied in <u>r</u><u>i</u><u>g</u><u>h</u><u>t</u><u> </u><u>a</u><u>n</u><u>g</u><u>l</u><u>e</u><u> </u><u>t</u><u>r</u><u>i</u><u>a</u><u>n</u><u>g</u><u>l</u><u>e</u>.

7 0

4 years ago

Read 2 more answers