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PSYCHO15rus [73]
3 years ago
12

The distance between two lakes is 300 miles. On a map, the measured distance between the lakes is three-fourths of an inch. What

is the scale of the map?
Mathematics
1 answer:
Murljashka [212]3 years ago
3 0
1 inch = 400 miles The scale gives the relationship between the measurements of the drawing or model and the measurements of the real object.
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Rational Exponent
lara [203]
The concept of radicals and radical exponents is tricky at first, but makes sense when we look into the logic behind it. 

When we write a radical in exponential form, like writing √x as x^(1/2), we are simply putting the power of the radical in the denominator (bottom number) of the exponent, and the numerator is the power we raise the exponent to, or the power that would be inside the radical. 
In our example, √x is really ²√(x¹), or the square root of x to the first power. For this reason, we write it as x^(1/2).

Let's say we wanted to write the cubed root of x squared, in exponential form. 
In radical form, it would look like this:
³√(x²) . This means we square x, and then take the cubed root.
In exponential form, remember that we take the power of the radical (3), and make that the denominator of the exponent, and keep the numerator as the power that x is raised to (2). 
Therefore, it would be x^(2/3), or x to the 2 thirds power. 

Just like when multiplying by a fraction, you multiply by the numerator and divide by the denominator, in exponential form, you raise your base number to the power of the numerator, and take the root of the denominator. 
3 0
3 years ago
Read 2 more answers
Peter has built a gazebo, whose shape is a regular heptagon, with a side length of $1$ unit. He has also built a pathway around
Sholpan [36]

Answer:

Area of pathway = 10.375 unit²

Step-by-step explanation:

Given - Peter has built a gazebo, whose shape is a regular heptagon, with

             a side length of 1 unit. He has also built a pathway around the

             gazebo, of constant width 1 unit, as shown below.

To find -  Find the area of the pathway.

Proof -

Central angle = \frac{360}{7} = 51.43°

Now,

Central angle / 2 = \frac{360}{14} = 25.71°

And

height = \frac{1}{2}.\frac{1}{tan25.41} = 1.038

Now,

Inner area of gazebo = 7·\frac{1}{2}·1·(1.038) = 3.634 unit²

Outer area of gazebo = (\frac{2.038}{1.038})²·(3.364) = 14.009 unit²

∴ we get

Area of pathway = Outer area - Inner area

                            = 14.009 - 3.634

                            = 10.375 unit²

⇒Area of pathway = 10.375 unit²

5 0
3 years ago
Sahil is buying a graphing
Ghella [55]
I think that is D cus you take 10 off
4 0
3 years ago
3 minus the product of a number and k
timofeeve [1]

Answer:

let the number be n :

3 \times n = k \\ { \underline{ \:  \: 3n = k \:  \: }}

3 0
2 years ago
In the school election James ran against Ben for
PSYCHO15rus [73]
180 votes is the correct answer
8 0
3 years ago
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