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3 years ago

A photo of a painting measures 13 inches by 17 inches. The scale factor is 1/3. What size is the painting? A. 4.3 x 5.7

Mathematics

1 answer:

JulsSmile [24]3 years ago

5 0

Answer:

The new size is 4.3 x 5.7

Step-by-step explanation:

The photo originally measures

13 inches x 17 inches

If we apply a scale factor of 1/3, this means that we multiply each size by one third

13 inches * (1/3) = 4.333 in

17 inches * (1/3) = 5.666 in

If we round up we get

4.3 in

5.7 in

The new size is 4.3 x 5.7

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Which equations represent the line that is parallel to 3x – 4y = 7 and passes through the point (-4,-2)? Select two

seropon [69]

Answer:

4y = 3x + 4

3x-4y = -4 is correct

Step-by-step explanation:

This is what we do.

We first express the first equation in the form;

y = mx + c

where m represents the slope of the line

Thus we have;

4y = 3x -7

divide through by 4

y = 3/4x -7/4

Thus the slope here is the coefficient of x which is 3/4

Now, since the lines are parallel, it means that their slopes are equal

So the slope of the other line too is 3/4

We now use the point slope form to find the equation of this other line

Mathematically, that would be;

y-y1 = m(x-x1)

where (x1,y1) = (-4,-2)

Substituting this into the point slope equation, we have;

y-(-2) = 3/4(x-(-4))

y + 2 = 3/4(x + 4)

Cross multiply

4y + 8 = 3x + 12

4y = 3x + 12-8

4y = 3x + 4

5 0

3 years ago

6w + 2(4w - 7) simplified

Gemiola [76]

Answer:

14w -14

Step-by-step explanation:

6w + 2(4w - 7)

Distribute

6w+ 8w -14

Combine like terms

14w -14

8 0

3 years ago

Read 2 more answers

The number of hours you study for an exam affects your grade. What is a reasonable value of the range?

Gwar [14]

Answer:

Step-by-step explanation:

The range is the grade. Domain is the amount of hours that you study for.

8 0

3 years ago

Read 2 more answers

The diameter of circles A,C and E are 32 cm, 24cm and 14 cm respectively

Karolina [17]

Answer:

AG = 4

AH = 21

EC = 12

CH = 5

HE = 7

Step-by-step explanation:

The complete question is

The diameters of circles A, C and E are 32 cm, 24 cm and 14 cm respectively.

Which of the following statements are true? Select all that apply.

•AG = 4

•GC = 10

•AH = 21

•EC = 12

•EH = 5

•CH = 5

•HE = 7

The picture of the question in the attached figure

Verify each statement

1) AG = 4

we know that

$AG=AC-GC$

$AC=32\2=16\ cm$ ----> radius of circle A

$GC=24/2=12\ cm$ ----> radius of circle C

substitute

$AG=16-12=4\ cm$

therefore

The statement is true

2) GC = 10

we know that

$GC=24/2=12\ cm$ ----> radius of circle C

therefore

The statement is false

3) AH = 21

we know that

$AH=AC+CH$

we have

$AC=16\ cm$ ----> radius of circle A

$CH=CE-HE$

$CE=12\ cm$ ----> radius of circle C

$HE=14/2=7\ cm$ ----> radius of circle E

$CH=12-7=5\ cm$

$AH=16+5=21\ cm$

therefore

The statement is true

4) EC = 12

we know that

$EC=24/2=12\ cm$ ----> radius of circle C

therefore

The statement is true

5) EH = 5

we know that

$EH=14/2=7\ cm$ ----> radius of circle E

therefore

The statement is false

6) CH = 5

we know that

$CH=CE-HE$

$CE=12\ cm$ ----> radius of circle C

$HE=14/2=7\ cm$ ----> radius of circle E

$CH=12-7=5\ cm$

therefore

The statement is true

7) HE = 7

we know that

$HE=14/2=7\ cm$ ----> radius of circle E

therefore

The statement is true

3 0

3 years ago

What’s the average of the following set of numbers ( 7,5,4,9)

Eduardwww [97]

Answer:

$6.25$

Step-by-step explanation:

$We\ are\ given:\\Observations\ in\ the\ Set=(7,5,4,9)\\ As\ we\ know\ that,\\ Average\ or\ interchangeably\ mean=\frac{Total\ Sum\ of\ observations }{Total\ no.\ of\ observations} \\Here,\\Total\ sum\ of\ the\ observations=7+5+4+9=25\\Total\ number\ of\ observations=4\\Hence\ here,\\Mean/Average=\frac{25}{4}=6.25$

6 0

3 years ago