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iragen [17]
3 years ago
15

If a original image is 2 inches and a scale drawing is 3.5 inches what is the scale factor?

Mathematics
1 answer:
sesenic [268]3 years ago
6 0

Answer:

Step-by-step explanation:To find the scale factor of an original and a scale drawing, set up a ratio of the original length and the length of the drawing. Then simplify the ratio. A scale factor may be expressed by the ratio or by a positive number.A scale factor expresses the relationship between two lengths. It can be expressed as a ratio or a positive number. Let's look at some examples. If the original image is 4 inches, and the scale drawing is 8 inches, we can say that the scale factor is 4:8, but we must simplify that ratio, making it 1:2. We can also write the scale factor as a number by dividing 8 by 4 for a scale factor of 2.

That example is pretty straightforward, but let's look at something a bit more complicated. Let's say we have an original image that is 4 inches and a scale drawing that is 9.5 inches, and we want to find the scale factor. We cannot write the ratio 4:9.5, because ratios do not allow decimals or fractions. We must simplify the ratio. This involves getting rid of the decimal. To do this, we multiply 9.5 by 2 and get 19. What we do to one element of the ratio, we must do to the other, so we multiply 4 by 2 for 8. Our ratio looks like this: 8:19. Because 19 is a prime number, we cannot simplify further. This scale factor of 8:19, then, tells us that for every 8 inches in the original, the scale drawing will have 19 inches. We can also express the scale factor as 2.375 (19 divided by 8).

We'll try one more example. We have an original image that is 1.25 inches and a scale drawing that is 4 inches. Again, we cannot write a ratio with decimals, so we can't leave our scale factor as 1.25:4. We must simplify. This time, we must get rid of the decimal by multiplying each side by 4, so we have 5:16. We cannot simplify this ratio any further, but we can express it by the number 3.2 (16 divided by 5).

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Answer:

The question isn't completely clear, but I believe that the answer would be 7m. That is the correct format.

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Find the value of x for which the lines a and b are parallel. answer : 23 20 2 19
Afina-wow [57]

Answer:

x=19

Step-by-step explanation:

These two angles are alternate interior angles and alternate interior angles are equal when the lines are parallel

148 = 7x+15

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3 years ago
On a diagram of the arena, the car park’s length is 15 cm. The scale is 1:100. What is the actual length of the car park in metr
marissa [1.9K]
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Find unknown measure of rectangle for width if perimeter is 62 centimeters and length is 16 cm.
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3 years ago
What is the slope-intercept form of the equation of the line that passes through the points
seraphim [82]

d. y = 3/4x + 17/4.

To write the slope-intercept form y = mx + b of a line passing through (-3, 2) and (1,5).

First, we have to calculate the slope m.

m = (y₂-y₁)/(x₂-x₁), with (x₁, y₁) = (-3, 2) and (x₂, y₂) = (1, 5)

m = (5 - 2)/(1 - (-3))

m = 3/4

Second, we have to find the y-intercept.

y = mx + b, where m is the slope and b is the y-intercept.

Using one of the two ordered pair and plug it in for x and y in the equation y = mx + b.

Taking the ordered pair (1, 5):

5 = 3/4 (1) + b

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Finally, write down the slope-intercept equation of the form y = mx + b, with m = 3/4 and b = 17/4:

y = mx + b

y = 3/4x + 17/4

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