A = pi * r^2
A = 3.14 * 50^2 
A = 7,850 square miles (area of the 50 mile broadcast signal)

A = pi * r^2
A = 3.14 * 75^2
A = 17,662.5 = 17,663 square miles (area of the 75 mile relayed signal)

Now we just need to subtract the 50 mile signal from the 75 mile signal, so:

17,663 - 7,850 = 9,813 square miles greater

Hope this helps :)

7 0

3 years ago

What is the justification for the first step in proving the formula for factoring the sum of cubes?

Anna11 [10]

Explanation:

The formula isnt correctly written, it should state:

$a^3+b^3 = (a+b)(a^2-ab+b^2)$

You have to start from $(a+b)(a^2-ab+b^2)$ and end in a³+b³. On your first step, you need to use the distributive property.

$(a+b)(a^2-ab+b^2) = a*(a^2-ab+b^2) + b*(a^2-ab+b^2)$

This is equal to

$a*a^2-a*(ab) + a*b^2 + b*a^2-b*(ab) + b*b^2 = a^3 - a^2b + ab^2 +ba^2 -b^2a +b^3$

Note that the second term, -a²b, is cancelled by the fourth term, ba², and the third term, ab², is cancelled by the fifht term, -b²a. Therefore, the final result is a³+b³, as we wanted to.

5 0

3 years ago

Square root 4x divided by 2x+1= 3 solve

Citrus2011 [14]

Answer:

See attached photo

Step-by-step explanation:

3 0

3 years ago

Help ;-;

Georgia [21]

Answer: 15 and one-half

Step-by-step explanation:

14/2 + 3(4) - (6.5 - 3)

Use PEMDAS

14/2 + 3(4) - 3.5

Use PEMDAS

7 + 12 - 3.5

Use PEMDAS

15.5

4 0

3 years ago

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