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Alexeev081 [22]
3 years ago
6

The distance between two cities on a map is 3.5 centimeters the map uses a scale in which 1 centimeter represents 20 km what is

the actual distance between these
two cities in kilometers
Mathematics
1 answer:
Juli2301 [7.4K]3 years ago
5 0

Answer:

1 cm = 20 km

so 3.5 cm would equal : 3.5 * 20 = 70 km

hope it helps ;)

Step-by-step explanation:

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Pleaseeeeeeeeeee help.
Sauron [17]

Answer:

The total distance Remy will swim is approximately 236 meters

Step-by-step explanation:

From the given diagram, of triangle ΔCAB, we have that the path Remy is to swim are;

1) Length of segment C to A

2) Length of segment A to B

3) Length of segment B to C

The length of the perpendicular at point D on segment AB to C = 60 meters

Therefore, DC = 60 m

By trigonometric ratios, we have;

tan (\theta) = \dfrac{Opposite \ leg \ length}{Adjacent \ leg \ length}

cos(\theta) = \dfrac{Adjacent\ leg \ length}{Hypotenuse \ length}

We are given the values of the trigonometric ratios of the following angles;

tan(27°) = 0.51

tan(43°) = 0.93

cos(27°) = 0.89

cos(43°) = 0.73

∴ tan(43°) = AD/DC = 0.93

Where the lengths of AC, AD, DB, DC and BC

AD = DC × tan(43°)

∴ AD = 60 × 0.93 ≈ 55.8

Similarly, we have;

tan(27°) = DB/DC

∴ DB = DC × tan(27°)

DB = 60 × 0.51 ≈ 30.6

From cos(\theta) = \dfrac{Adjacent\ leg \ length}{Hypotenuse \ length}, we have;

cos(43°) = DC/AC

AC = DC/(cos(43°))

∴ AC = 60/0.73 ≈ 82.2

Similarly, we have;

cos(27°) = DC/BC

BC = DC/(cos(27°))

∴ BC = 60/0.89 ≈ 67.4

The total distance Remy will swim = AC + AD + DB + BC

∴ The total distance Remy will swim = 82.2 + 55.8 + 30.6 + 67.4 = 236

The total distance Remy will swim = 236 meters

6 0
3 years ago
How would I change this to standard form. <br><img src="https://tex.z-dn.net/?f=y%20%3D%20%20%5Cfrac%7B1%7D%7B2%7D%20x%20-%201"
Pie

Answer:

x - 2y = 2

Step-by-step explanation:

the equation of a line in standard form is

Ax + By = C ( A is a positive integer and A, B are integers )

given y = \frac{1}{2} x - 1

multiply through by 2 to eliminate the fraction

2y = x - 2 ( subtract 2y from both sides )

0 = x - 2y - 2 ( add 2 to both sides )

x - 2y = 2 ← in standard form


8 0
3 years ago
A group of 3 adults and 5 children pay a total of 52$ for movie tickets
Paladinen [302]

Answer:

  • $9 adult
  • $5 child

Step-by-step explanation:

Letting "a" and "c" represent the costs of adult tickets and child tickets, the problem statement gives us two relations:

  3a +5c = 52

  2a +4c = 38

__

We can solve this system of equations using "elimination" as follows:

Dividing the first equation by 2 we get

  a +2c = 19

Multiplying this by 3 and subtracting the first equation eliminates the "a" variable and tells us the price of a child ticket:

  3(a +2c) -(3a +4c) = 3(19) -(52)

  c = 5 . . . . . . collect terms

  a +2·5 = 19 . . substitute for c in the 3rd equation above

  a = 9 . . . . . . subtract 10

One adult ticket costs $9; one child ticket costs $5.

6 0
3 years ago
What is 5^5 evaluated or to make it easier to understand if you don't know what 5^5 is then it means what is 5 to the power of 5
AnnZ [28]

Answer:

3125

Step-by-step explanation:

5 x 5 x 5 x 5 x 5

25 x 5 x 5 x 5

125 x 5 x 5

625 x 5

3125

5 0
3 years ago
Read 2 more answers
PLEASE PLEASE PLEASE HELP!!! I'm so behind, and I need everything in by monday!
puteri [66]
Since each angle of the hexagon is a 30 degree rotation just count the letters as you move and multiply by 30.
1. 120 degrees
2. 30 degrees
3. 30 degrees
6 0
3 years ago
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