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lakkis [162]
3 years ago
15

A map of a rectangular park has a length of 4 inches and a width of 6 inches. It uses a scale of 1 inch for every 30 miles. What

is the actual area of the park?
Mathematics
1 answer:
e-lub [12.9K]3 years ago
8 0

Answer:

Actual area = 21600 Sq.miles

Step-by-step explanation:

We are given;

length; L = 4 inches

Width; W = 6 inches

The scale of the map; 1 inch for every 30 miles i.e. 1 : 30

Since the scale is 1:30, let's find the find the actual dimensions and then the actual area

For the Length,

Since 1 inch represents 30 miles,

Then, 4 inches = (4 × 30)/1 = 120 miles

For the width;

Since 1 inch represents 30 miles,

Then,6 inches = (6 × 30)/1 = 180 miles

Therefore, the actual dimensions are 120 miles and 180 miles

Now, formula for area of rectangle = length × width

Thus;

Actual area = 120 × 180

Actual area = 21600 Sq.miles

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8.) Out of 600 employees, only 270 are happy with their pay. What percent is this? (Please show your work.) *
Gnom [1K]

For this case we can raise a rule of three:

600 employees -------------> 100%

270 employees -------------> x

Where the variable "x" represents the percentage of employees who are satisfied with their salary. So, we have:

x = \frac {270 * 100} {600}\\x = 45

Thus, 45% of employees are satisfied with their salary.

Answer:

45%

5 0
4 years ago
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HELP LOL i have no idea it might be just me
xenn [34]

Answer:

Step-by-step explanation:c

7 0
3 years ago
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The total cost ,c, of renting a Canoe for n hours can be represented by a system of equations. Write the system of equations tha
Brut [27]

Answer:  \left \{ {{c=28} \atop {c=3n+13}} \right.

Step-by-step explanation:

<h3> The missing data is: " The cost of renting a conoe to use on River Y costs $28. The cost of renting a conoe to use on River Z costs $3 per hour plus a $13 deposit".</h3>

Let's find the first equation.

You know that the cost of renting a conoe to use on River Y costs $28. This is:

c=28

To find the second equation you need to remember the Slope-Intercept form of a Linear equation. This is:

y=mx+b

Where "m" is the slope and "b" is the y-intercept.

Since the cost of renting a conoe to use on River Z costs $3 per hour plus a $13 deposit, you can identify that:

m=3\\b=13

Therefore,  the equation that represents this situation is:

c=3n+13

So, the System of equations that could be used to find the total cost "c" of renting a canoe for "n" hours, is:

\left \{ {{c=28} \atop {c=3n+13}} \right.

8 0
3 years ago
The city council plans to build a new water storage tank for the community. The tank is cylindrical with a base diameter of 25 f
Stella [2.4K]

Answer:

a. 14726.216ft^{3}

b. 110446.62gal

Step-by-step explanation:

I attach the diagram of the new water tank.

a. In order to find the volume of the tank in cubic feet, we will need to calculate the volume of a cylinder. We know that its base measures 25ft and its height is 30ft.

The volume ''V'' of a cylinder is :

V=(\frac{\pi D^{2}}{4}).(H)

Where ''D'' is the diameter of the base and ''H'' is the height of the cylinder.

If we replace all the data in the equation :

V=\frac{\pi .(25ft)^{2}}{4}.(30ft)=14726.216ft^{3}

We found out that the volume of the tank in cubic feet is 14726.216ft^{3}

b. We know that 1 cubic foot of water is equal to 7.5 gallons. To find the amount of gallons that the new tank can hold, we need to do an unit conversion.

This equivalence is given to us :

1ft^{3}=7.5gal ⇒ Using the equivalence ⇒

(14726.216ft^{3}).(\frac{7.5gal}{1ft^{3}})=110446.62gal

Finally, the new tank will hold 110446.62gal of water.

7 0
4 years ago
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algol [13]
73 that will be hope this is right ok byeeee
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