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umka2103 [35]
3 years ago
8

What is the scale if: 3.2 cm on the map correspond to 4 km in the actual distance?

Mathematics
1 answer:
aliya0001 [1]3 years ago
5 0

Scaling on map is defined as the ratio of a distance on the map to the corresponding distance on the ground.

Here, 3.2 centimeters on the map is equivalent to 4 kilometers.

We can use unitary method to find, how many kilometer/kilometers each centimeter corresponds to.

Using the unitary method:

3.2 cm=4 km

1 cm=\frac{4}{3.2} =1.25km

Therefore, the scale of map represents 1.25 kilometers for each centimeter.

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Please help. Write as a single logarithm, a) log(13)+log(4) b) log(small 5)(14)-log(small 5)(2)
dsp73

Answer:

a) \log 52

b) \log_57

Step-by-step explanation:

Use logarithm properties:

\log_ab+\log_ac=\log_a(b\cdot c)\\ \\\log_ab-\log_ac=\log_a\dfrac{b}{c}

Then

a) \log 13+\log 4=\log 13\cdot 4=\log 52

b) \log_514-\log _52=\log _5\dfrac{14}{2}=\log _57

7 0
3 years ago
The Tetrahedron Superyacht designed by Jonathan Schwinge is a regular tetrahedron with edges 20 m long. The distance r from one
shusha [124]
A tetrahedron is a triangular pyramid. It has four triangular faces and four vertices. 

In the question, we are told that the length of the edges are all equal = 20m and the length from one corner to the center of the base = 11.5m

We sketch a diagram of a tetrahedron with the given measurement as shown below

To find the height, we will use the Pythagoras theorem

20² = h² + 11.5²
h² = 20² - 11.5²
h² = 267.75
h = √267.75
h = 16.36 (rounded to two decimal places)

8 0
3 years ago
Read 2 more answers
Zola is thinking of a number. If the number is divided by 7.5, the quotient is 62. what is zolas number?
____ [38]
Okay, so I would multiply 62*7.5 to get 465.

To check the solution, make sure it follows the rules as in the word problem.

If you divide 465 by 7.5 you do get 62, so the solution is 465.

Mathematically, the equation would be

x
-     = 62
7.5
I would multiply x/7.5 by 7.5/1 (to cancel it out) and 62/1  by 7.5 which is basically the same solution as above.

4 0
3 years ago
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HELP PLEASE 35 POINTS
postnew [5]

For this case we have:

Let a function of the form y = f (x)

By definition, to graph y = f (x + h), where h> 0, we must move the graph of f (x), h units to the left.

We observe that the red graph has the same form as the black graph, but it is displaced "h" units to the left.

It is observed that h = 3

So, if the black graph is given byy = f (x), the red graph is given by: y = f (x + 3)

Answer:

y = f (x + 3)

Option A


3 0
3 years ago
Read 2 more answers
Please tell me the answers to 4 and 5 no links
Cerrena [4.2K]

Answer:

4) choice a       30%

5) choice b       62.5%

Step-by-step explanation:

4) 3/10 = 0.30 or 30%

5) 5/8 = 0.625 or 62.5%

5 0
3 years ago
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