Please help...The radius of the planet is 4100 miles. Find the distance d to the horizon that a person can see on a clear day from a height of 1298 feet above the planet. (hint: use the conversion 1 mile = 5280 ft) Round your answer to the nearest 10th, and don't forget to convert feet to miles.

Answers

Answer 1

Answer: First, we are going to convert 1298 feet to miles. Since we know that 1 mile = 5280 ft, we are going to multiply 1298 ft by $(1mi)/(5280ft)$ to do that:
$1298ft*(1mi)/(5280ft)= (59)/(240) mi$

Next, we are going to set up a right triangle using the radius of the Earth and the distance above the planet.
The hypotenuse of our triangle will be the radius of the Earth + the distance above the planet. One of the legs of our triangle will be the radius of the Earth, and the other leg, $d$ , will be the distance that a person will see on a clear day.
Using the Pythagorean theorem:
$d^2= ((984059)/(240) )^2-4100^2$
$d= \sqrt{((984059)/(240) )^2-4100^2}$
$d=44.9$ miles

We can conclude that the distance, $d$ , to the horizon that a person can see on a clear day from a height of 1298 feet above the planet is 44.9 miles.

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Answers

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x + y = 18 . . . (2)

Putting (1) into (2) gives,
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Answers

Multiply one of the equations by -1
5x+6y=50
-1(-x+6y=26) =x-6y=-26
Cancel out the 6y's add the rest
6x=24
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5x+6y=50
-x+6y=26

Make the second problem and multiply everything by -1

5x+6y=50
-1(-x+6y=26)
X-6y=-26
Eliminate the y and combine evrything
6x=24
Divide 6 both sides
X=4
Then substitute the x
-(4)+6y=50
-4+6y=50
Add 4 both sides
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Answers

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Answers

For exponential growth or decrease there is a general formula given:

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Step-by-step explanation:

The person above me is wrong, the correct answer on ED. is 0.98

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