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wolverine [178]
3 years ago
10

In kilometers, the approximate distance to the earth's horizon from a point h meters above the surface can be determined by eval

uating the expression 12h−−−√. About how far is the apparent horizon to a person looking out to sea from the top of a cliff 350 meters above sea level?
Mathematics
1 answer:
Maslowich3 years ago
8 0
In kilometers, the approximate distance to the earth's horizon from a point h meters above the surface can be determined by evaluating the expression 

d= \sqrt{12h}

We are given the height h of a person from surface of sea level to be 350 m and we are to find the the distance to horizon d. Using the value in above expression we get:

d= \sqrt{12*350}=64.81

Therefore, the approximate distance to the horizon for the person will be 64.81 km
You might be interested in
For the polynomial function ƒ(x) = −x6 + 3x4 + 4x2, find the zeros. Then determine the multiplicity at each zero and state wheth
murzikaleks [220]

There is a multiple zero at 0 (which means that it touches there), and there are single zeros at -2 and 2 (which means that they cross). There is also 2 imaginary zeros at i and -i.


You can find this by factoring. Start by pulling out the greatest common factor, which in this case is -x^2.


-x^6 + 3x^4 + 4x^2

-x^2(x^4 - 3x^2 - 4)


Now we can factor the inside of the parenthesis. You do this by finding factors of the last number that add up to the middle number.


-x^2(x^4 - 3x^2 - 4)

-x^2(x^2 - 4)(x^2 + 1)


Now we can use the factors of two perfect squares rule to factor the middle parenthesis.


-x^2(x^2 - 4)(x^2 + 1)

-x^2(x - 2)(x + 2)(x^2 + 1)


We would also want to split the term in the front.


-x^2(x - 2)(x + 2)(x^2 + 1)

(x)(-x)(x - 2)(x + 2)(x^2 + 1)


Now we would set each portion equal to 0 and solve.


First root

x = 0 ---> no work needed


Second root

-x = 0 ---> divide by -1

x = 0


Third root

x - 2 = 0

x = 2


Forth root

x + 2 = 0

x = -2


Fifth and Sixth roots

x^2 + 1 = 0

x^2 = -1

x = +/- \sqrt{-1}

x = +/- i

7 0
3 years ago
PLEASE HELP WILL MARK BRAINLIEST
Nataliya [291]

Answer:

You may or may not need to include the units.

A = 18x - 18

P = 6x + 6

Graph is attached below. (2, 18)

Step-by-step explanation:

Substitute the information we need, "l" and "w", into the formulas.

l is for length, 6cm.

w is for width, (3x - 3)cm.

Use the formula for area of a rectangle.

A = lw

A = (6)(3x-3)cm²

A = (18x - 18)cm²  or 18x - 18

Use the formula for perimeter of a rectangle.

P = 2(l + w)

P = 2(6 + (3x - 3))cm

P = 2(3x + 3)cm

P = (6x + 6)cm  or 6x + 6

Linear equations are written in the form y = mx + b, so we do not need to factor or further simplify the formulas.

To graph, first turn the "m" value into a fraction form.

8 -> 8/1

6 -> 6/1

You need two points to graph each line.

For each equation, the first point is on the y-axis at the "b" value. Then use the "m" in the equation to count the number of units up (numerator) and to the right (denominator).

The solution is (2,18)

8 0
3 years ago
When Marcus visited the corner store the first day he bought 3 sodas and 5 bag of chips for a total of $4.05. On the second day
suter [353]

Answer:

a soda cost .65 and chips cost 1.3

Step-by-step explanation:

i hope this helps

7 0
3 years ago
Read 2 more answers
1. how many 1/8 are in 1 2.how many 1/8 are in 3?
maksim [4K]
Well there are 8 in 1/8 so you multiply that but three and you get 24
The answer is 24
3 0
3 years ago
Math question help me
Rufina [12.5K]

Answer:

the 4th one

Step-by-step explanation:

i'm pretty sure that's right

 

5 0
3 years ago
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