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3 years ago

The rectangle shown is dilated by a scale factor of 3.

Mathematics

1 answer:

Law Incorporation [45]3 years ago

7 0

Given that the image was dilated by scale factor 3 then:
a] Length of the dilated side will be:
length/width=(original length/width)*(scale factor)
length=3*10=30 in
Width=3*6=18 in
thus the dimensions of the new image will be:
30 in by 18 in

b. The diagram below represent s the rectangle. 1 cm represent 10 inches

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Security A rounds every 2 minutes and 20 seconds in the gate 1. Security B rounds every 1 minute and 40 seconds in the gate 2. I

Elden [556K]

Answer:

$Time = 11\frac{2}{3}\ min$

Step-by-step explanation:

Given

$Security\ A = 2\ mins, 20\ secs$

$Security\ B = 1\ mins, 40\ secs$

Required

After how many minutes, will they round together

First, convert the given time to minutes

$Security\ A = 2\ mins, 20\ secs$

$Security\ A = 2\ mins+ 20\ secs$

$Security\ A = 2\ mins+ \frac{20}{60}\ min$

$Security\ A = 2\ mins+ \frac{1}{3}\ min$

$Security\ A = 2\frac{1}{3}\ min$

$Security\ B = 1\ mins, 40\ secs$

$Security\ B = 1\ mins+ 40\ secs$

$Security\ B = 1\ mins+ \frac{40}{60}\ min$

$Security\ B = 1\frac{2}{3}\ min$

So, we have:

$Security\ A = 2\frac{1}{3}\ min$

$Security\ B = 1\frac{2}{3}\ min$

List out the multiples of the time of both security personnel take round.

$Security\ A = 2\frac{1}{3}min,\ 4\frac{2}{3}min,\ 7min,\ 9\frac{1}{3}min,\ 11\frac{2}{3}min...$

$Security\ B = 1\frac{2}{3}min,\ 3\frac{1}{3}min,\ 5min,\ 6\frac{2}{3}min,\ 8\frac{1}{3}min,\ 10min\ ,11\frac{2}{3}min,...$

In the above lists, the common time is:

$Time = 11\frac{2}{3}\ min$

This implies that they go on round after $11\frac{2}{3}\ min$

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3 years ago

Determine the intercepts of the line. x-intercept: ( , ) y-intercept: ( , )

olga2289 [7]

Answer:

y-intercept = 275

x-intercept = 125

Step-by-step explanation:

The y-intercept is the point on your line where x=0. On this line, the y-intercept is the point (0,275) (x,y)

The x-intercept is the point on your line where y=0. On this line, the x-intercept is the point (125,0) (x,y)

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3 years ago

Rob and Matt made 55 cups of lemonade

notka56 [123]

Answer:

Rob made 31, and Matt made 24

Step-by-step explanation:

55 in total

Rob made 7 more do 55 - 7 = 48

48 / 2 = 24

24 for Matt

24 +7 = 31

31 for rob

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Answer:

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tino4ka555 [31]

Answer:

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Step-by-step explanation:

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