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Vedmedyk [2.9K]
3 years ago
11

Which scale would produce the largest scale drawing of an object when compared to the actual object?

Mathematics
2 answers:
STatiana [176]3 years ago
7 0

Covert the ratios so they are all the same measurement type.

A. 5 feet = 5 x 12 = 60 inches.

The scale becomes 1:60

B. 1:30

C. 12 yards = 12 x 3 = 36 feet x 12 = 432 inches.

The scale is 12:432  = 1:36

D. 1 meter = 39.37 inches.

1 inch = 2.54 cm

39.37 x 2.54 = 99.99 inches

The scale converted to inches becomes 1 :100 inches.

The first number would be the size of the drawing, the second number is the size of the actual object

If you use all 4 scale factors for a real object that is 100 inches:

A would need 100/60 = 1.67 inches.

B would need 100/30 = 3.3 inches.

C would need 100/36 = 2.78 inches.

D would need 100/100 = 1 inch.

The larger scaled drawing would be B.

Sveta_85 [38]3 years ago
3 0

Answer:

Option B.

Step-by-step explanation:

We need to find which scale would produce the largest scale drawing of an object when compared to the actual object.

First of all cover all units in inches.

In option 1,

1 inch : 5 feet

We know that

1 feet = 12 inch → 5 feet = 60 inch

So the ratio in inches is 1:60. It means the scale factor is 60.

In option 2,

1 inch : 30 inches

So the ratio in inches is 1:30. It means the scale factor is 30.

In option 3,

1 foot : 12 yards

12 inches : 12 yards                     (1 feet = 12 inch)

1 inch : 1 yards

1 inch : 36 inch                     (1 yard = 36 inch)

So the ratio in inches is 1:36. It means the scale factor is 36.

In option 4,

1 centimeter : 1 meter

1 centimeter : 100 centimeter         (1 m = 100 cm)

1 inch : 100 inch

So the ratio in inches is 1:100. It means the scale factor is 100.

Option B has smallest scale factor, so it will produce the largest scale drawing of an object when compared to the actual object.

Therefore, the correct option is B.

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Concept:

From the given graph, we can see that it is an isosceles triangle since the two base angles are congruent.

In geometry, an isosceles triangle is a triangle that has two sides of equal length.

If you are still confused, you may refer to the attachment below for a graphical explanation or tell me.

Solve:

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<u>Given expression deducted from the definition of an isosceles triangle</u>

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<u>Substitute values into the expression</u>

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<u>Subtract 14 on both sides</u>

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\boxed{x=-7}

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