a park is shaped like a rectangle with a length 5 miles it's width w. what is a simplified expression for the distance between opposite corners of the park?

Answers

Answer 1

Answer: Let the distance between the two corners be AB.

Now, according to the pythagoras theorum,

AB² = 5² + w²

Thus, AB = √25+w²

Thus, the distance between the two corners is √25+w²

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How To Solve The Equation 3(x-6)=10x+3 ?

Answers

3(x-6)=10x+3

Expand the left side:

3x-18 = 10x + 3

Subtract 3x from each side:

-18 = 7x + 3

Subtract 3 from each side:

-21 = 7x

Divide each side by 7 :

-3 = x

$3(x-6)=10x+3\n 3x-18=10x+3\n 7x=-21\n x=-3$

How many whole dollars can you make with 248 pennies? how many cents are left over

Answers

two dollars: and 48 cents will be left over

2 dollars 48 cents
There is 100 cents in a dollar.

If you sleep 7 hours every night how many hours are you awake in a year?

Answers

24h - 7h = 17h. 17 * 365= 6 205 h a year. In a leap year, it is 6 222 h a year.

Solve the equation the square root of the quantity x plus 3 plus 4 equals 5 for the variable.

Answers

Domain: expression under square root is greater or equal than zero.

x+3>0
x>-3

Then:

$√(x+3)}+4=5 \qquad |-4 \n \n √(x+3)=1 \qquad |(...)^2 \n \n x+3=1 \n \n x=-2 \in D$

So the answer is x=-2

Final answer:

By isolating the square root, squaring both sides to remove the square root, and then solving for x, the solution to the equation √(x + 3) + 4 = 5 is found to be x = -2.

Explanation:

To solve this equation, we start by isolating the square root. The equation given is √(x + 3) + 4 = 5. The first step is to subtract 4 from both sides of the equation to isolate the square root, resulting in √(x + 3) = 1.

Once the square root is isolated, we can square both sides of the equation to eliminate the square root, leading to x + 3 = 1² = 1.

Finally, subtract 3 from both sides, leaving us with the solution x = 1 - 3 = -2.

Learn more about Solving Equations here:

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Write the following number in expanded form 46,371

Answers

46,371 = 40,000 + 6,000 + 300 + 70 + 1

A recent survey found that 79% of Americans use the internet. if a city has a population of 76,000 how many people in that city would you expect to use the internet?

Answers

$p\%=(p)/(100)\n\n79\%=(79)/(100)=0.79\n\n79\%\ of\ 76,000\ is\ 0.79\ *\ 76,000=60,040\leftarrow answer$

79 % of 76 000 ?

79 % = 79/100 = 0.79

So 0.79 * 76 000 = 60 040

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