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anastassius [24]
3 years ago
8

What is the scale for 3 cm on the map correspond to 120 km in the actual distance?

Mathematics
2 answers:
ella [17]3 years ago
8 0

Answer:

1 cm = 40 km.

Step-by-step explanation:

Actual distance = 120 kilometers

The distance on the map = 3 centimeters

Scale map = \frac{\text{Actual distance}}{\text{distance on map}}

                  = \frac{120}{3}

                  = 40

1 centimeters = 40 kilometers

The scale of the map is 1 cm = 40 km.

nikdorinn [45]3 years ago
5 0

Actual Distance =120 Km

We have to map 120 Km in the scale of  3 Cm.

i.e, 3 Cm = 120 Km

→  1 cm = (120÷3) Km

→ 1 cm = 40 Km

So, if you scale 3 cm on the map correspond to 120 km,then

you have to scale , 1 Cm= 40 Km

Drawn the graph for you below.

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An art gallery sells paintings at 0.35 per square inch. if a painting is 2 feet 3 inches by 3 feet 5 inches. how much would the
Natalka [10]

Hello!

ANSWER

The painting would cost $387.45.

____________________________________________________________

EXPLANATION

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Multiply the length by the width (in inches) of the painting.

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2 years ago
In triangle JKL, sin(b°) = three fifths and cos(b°) = four fifths. If triangle JKL is dilated by a scale factor of 2, what is ta
scoundrel [369]

Answer:

Tan(b°) = 3/4 = three fourths (C)

Step-by-step explanation:

Triangle JKL is a right angled triangle in which angle K is a right angle and angle L= b°

We would apply SOHCAHTOA from trigonometry to determine the value for each sides.

For ∆JKL

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Find attached the diagram of the above triangle (1)

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Meaning we would multiply each sides of ∆JKL by 2. The values of the new triangle become:

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Adjacent = 2(4) = 8

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To find tan(b°) of the new triangle, we would apply tangent ratio

Tan(b°) = opposite/adjacent

Tan(b°) = 6/8

Tan(b°) = 3/4

Find attached the diagram for the new triangle (2)

Diagram 3 shows the drawing of both triangles together.

From the above, we can see the angle doesn't change when a shape is dilated by a scale factor.

Therefore, tan(b°) = three fourths (C)

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