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Thepotemich [5.8K]
3 years ago
15

A scale model of a city has a scale of 1 cm : 2.5 km. Two buildings in the model are 1.7 cm apart. To the nearest tenth of a kil

ometer, what is the actual distance between the buildings in the city
Mathematics
1 answer:
spin [16.1K]3 years ago
4 0
This is the concept of linear proportionality, we are required to calculate the actual length between two buildings which have a distance of 1.7 cm when drawn to scale of 1 cm: 2.5 km. This can be calculated as follows;
actual distance= (distance on the map)*(scale factor)
actual distance=1.7*2.5=4.25 km

The answer is 4.25 km
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What is the answer to<br><br> 6x–2x+8=20
11111nata11111 [884]

Answer:

x = 3

Step-by-step explanation:

First, simplify by subtracting 2x from 6x:

6x - 2x + 8 = 20

4x + 8 = 20

Then, solve for x:

4x + 8 = 20

4x = 12

x = 3

So, the answer is x = 3

5 0
2 years ago
List the domain for the following relation <br><br> (4,1) , (-6,1) , ( 2,7) , (4,-3) , (8,3)
Colt1911 [192]

Answer:

4,-6,2,4,8

Step-by-step explanation:

the domain are the one at the top like the numerator of a fraction

6 0
2 years ago
Arrange these numbers in order from least to greatest <br><br> 1/2, 0,-2,1
Andru [333]

Answer:

-2, 0, 1/2, 1

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
How many triangles can be constructed with side lengths of 9.6 cm, 11.6 cm, and 21.2 cm?
nignag [31]

Answer:  A) 0 triangles

============================================================

Explanation:

Adding up the two smaller sides gets us 9.6+11.6 = 21.2, but this result is not larger than the third side of 21.2

For a triangle to be possible, we need to be able to add any two sides and have the sum be larger than the third remaining side. This is the triangle inequality theorem.

I recommend you cutting out slips of paper with these side lengths and trying it out yourself. You'll find that a triangle cannot be formed. The 9.6 cm and the 11.6 cm sides will combine to form a straight line that is 21.2 cm, but a triangle won't form.

As another example of a triangle that can't be formed is a triangle with sides of 3 cm, 5 cm, and 8 cm. The 3 and 5 cm sides add to 3+5 = 8 cm, but this does not exceed the third side. The best we can do is form a straight line but that's not a triangle.

In short, zero triangles can be formed with the given side lengths of 9.6 cm, 11.6 cm, and 21.2 cm

3 0
2 years ago
Add and subtract the rational expressions. 7x+5/x-1 -(8x1/x-1+2x-4/x-1) Which statements are true about the process for adding a
anzhelika [568]

Answer:

2. The denominator of the fully simplified expression will be x – 1.

4. The numerator of the fully simplified expression will be –3x + 10.

Step-by-step explanation:

Given the rational expression

\dfrac{7x+5}{x-1} -(\dfrac{8x-1}{x-1} +\dfrac{2x-4}{x-1} )

Let us first simplify before making our deductions.

Opening the brackets

\dfrac{7x+5}{x-1} -(\dfrac{8x-1}{x-1} +\dfrac{2x-4}{x-1} )=\dfrac{7x+5}{x-1} -\dfrac{8x-1}{x-1} -\dfrac{2x-4}{x-1}

Taking LCM

=\dfrac{7x+5-(8x-1)-(2x-4)}{x-1}

Opening the brackets and simplifying

=\dfrac{7x+5-8x+1-2x+4}{x-1}\\\text{Collecting like terms in the numerator}\\=\dfrac{7x-8x-2x+5+1+4}{x-1}\\=\dfrac{-3x+10}{x-1}

The following statements are therefore true:

2. The denominator of the fully simplified expression will be x – 1.

4. The numerator of the fully simplified expression will be –3x + 10.

5 0
3 years ago
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