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TiliK225 [7]
3 years ago
6

The starting line for a race in Fulton is 1.2 miles from the finish line. On a map of the course, the starting and finish lines

are 4 inches apart. What is the scale of the map?
Mathematics
2 answers:
topjm [15]3 years ago
6 0

Answer:

1 inch = 0.3 miles

Step-by-step explanation:

We basically want to know how many miles in real life 1 inch on the map represents. We already know that 4 inches on the map corresponds to 1.2 miles in real life, but we need to find what 1 inch on the map corresponds to. Let's make a proportion:

\frac{4}{1.2} =\frac{1}{x}

Cross-multiply:

4x = 1.2

Divide by 4 from both sides:

x = 1.2/4 = 0.3

Thus, the scale is 1 inch = 0.3 miles.

Hope this helps!

WARRIOR [948]3 years ago
4 0

Things to know before we start:

  • In real life, the starting line of the race in Fultion is 1.2 miles from the finish line.
  • On a map, the starting line of the race in Fultion is 4 inches from the finish line.

To find the scale, we can set up a proportion.

1.2mi/4in

Divide to find the scale.

1.2 / 4 = 0.3 miles.

Therefore the scale of the map is 0.3 miles = 1 inch.

Best of Luck!

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3 years ago
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The figure shows a construction completed by hand.
Tresset [83]

Based on the construction, we can logically deduce that: A. yes; the compass was kept at the same width to create the arcs for points C and D.

<h3>What is a line segment?</h3>

A line segment can be defined as the part of a line in a geometric figure such as a triangle, circle, quadrilateral, etc., that is bounded by two (2) distinct points and it typically has a fixed length.

In Geometry, a line segment can be measured by using the following measuring instruments:

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<h3>What is an arc?</h3>

In Geometry, an arc can be defined as a trajectory that is generally formed when the distance from a given point has a fixed numerical value.

Based on the construction with arcs created above and below the line segment from points A, we can infer and logically deduce that it is true that the compass was kept at the same width to create the arcs for points C and D.

In conclusion, yes, the construction demonstrated how to bisect a line segment correctly by hand.

Read more on arcs here: brainly.com/question/11126174

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Complete Question:

The construction has a given segment AB. Arcs have been created above and below the segment from points A that are equidistant from point A. The compass was kept at the same distance, placed on point B, and two additional arcs were created above and below the segment that intersect with the first arcs created. The intersection of the arcs above the segment created point C. The intersection of the arcs below the segment created point D. A line was drawn from point C to D through the segment.

Does the construction demonstrate how to bisect a segment correctly by hand?

A. Yes; the compass was kept at the same width to create the arcs for points C and D.

B. Yes; a straightedge was used to create segment CD.

C. No; the compass was not kept at the same width to create the arcs for points C and D.

D. No; a straightedge was used to create segment CD.

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umka21 [38]

Answer:

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5 0
3 years ago
4. A lampshade is in the shape of a cone. The radius iš 7 inches and the height 9
dsp73

Answer:

461.8

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Drupady [299]

Answer:

x=3.85

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Step-by-step explanation:

<u>Question:</u>

x+3.6= −4.75

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<u>Step 1:</u>

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x+3.6-3.6=-4.75-3.6

<u>Step 2:</u>

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