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3 years ago

The Earth has a diameter

Mathematics

1 answer:

mrs_skeptik [129]3 years ago

4 0

Answer:

L = 24,873.6 miles

Step-by-step explanation:

Length of the Circumference

Given a circle of radius r, the length of the circumference, or line surrounding the shape is:

$L =2\pi\cdot r$

The Earth has a diameter of 7,917.5 miles. The radius is half the diameter:

r=7,917.5/2=3,958.75 miles

Assuming a plane flies around the equator at ground level, the distance it would travel is:

$L =2\pi\cdot 3,958.75\ miles$

L = 24,873.6 miles

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GuDViN [60]

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3 years ago

David wants to build a rectangular fencing with the 5 identical parts for his animals. He has 780 feet of fencing to make it. Wh

Vladimir79 [104]

Answer:

65 ft by 39 ft

Step-by-step explanation:

Let x ft be the length of each part and y ft be the width of each part. The total perimeter of all 5 parts is

$6x+10y=780$

The length of the large rectangle is 5y ft and the width of the large rectangle is x, so the total area is

$A=x\cdot 5y$

From the first equation,

$y=78-0.6x$

Substitute it into the area expression:

$A(x)=x\cdot 5(78-0.6x)=390x-3x^2$

Find the derivative:

$A'(x)=390-3\cdot 2x=390-6x$

Equate it to 0:

$390-6x=0\\ \\6x=390\\ \\x=65$

Then

$y=78-0.6\cdot 65=78-39=39$

5 0

3 years ago

Sofie makes and sells scarves. Her profit depends on what price she charges for a scarf.

monitta

Answer:

The first part is 5

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Step-by-step explanation:

Because I said So

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3 years ago

Without using (10), show directly that (10.6^-1)^8=17.6^-8

blagie [28]

We are given the expression:

(17.6^-1)^8 = 17.6 ^ -8

This means that the two terms on each side are equal. We are asked to show how this is possible.

First, use the rule of exponents. If a term raised to the power of a number x^n and is further raised to the power m: (x^n)^m, to simplify the expression, multiply n and m and this will be your end exponent = x^nm.

We can apply this rule here:

17.6^-1 ^ 8

-1 * 8 = -8

then, retain the base and replace the exponent with the product nm:

17.6 ^-8. This proves that the left term is equal to the right term.

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3 years ago

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