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frozen [14]
3 years ago
9

Cape Hatteras Lighthouse was built in 1870 and rises 208 feet above sea level. From the top of the lighthouse, the lighthouse ke

eper observes two ships along the same line of sight. The angle of depression to ship 1 is 20  and the angle of depression to ship 2 is 12.5  . For safety purposes, the keeper thinks the two ships should be at least 300 feet apart. If they are less than 300 feet apart, she will sound a warning. How far apart are the vessels? Will she sound the warning?

Mathematics
1 answer:
bearhunter [10]3 years ago
7 0

Answer:

The distance between them is 366.75 feet.

She doesn't need to sound a warning yet.

Step-by-step explanation:

Please see the attached files for explanation.

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ser-zykov [4K]

Answer:

The perpendicular line is:

y = 1/3  x + 2/3

Step-by-step explanation:

The given equation can be reduced to its slope-intercept form as shown below:

3x + 9y = 8y - 2

subtract 8 y from both sides

3 x + y = -2

subtract 3 x from both sides

y = - 3 x -2

therefore we know that the slope of this line is -3, and then, a perpendicular line to it must have slope given by the "opposite of the reciprocal" of this slope. That is, the slope of any perpendicular line to this one must be: 1/3

We use this slope to find the equation of the line passing through the point (13. 5)

y = 1/3 x + b

passing through (13, 5) means:

5 = 1/3 (13) + b

therefore, we can find b from the above equation

b = 5 - 13/3 = 15/3 - 13/3 = 2/3

Then the equation of this perpendicular line is:

y = 1/3  x + 2/3

6 0
3 years ago
a basketball player through the ball vertically in the air. the height h of the ball after time t is given by the quadratic func
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4 0
3 years ago
On the farm, there were 2 types of animals, Pigs and Chickens. The farm had a total of 10 animals. one day he counted 34 legs. H
makvit [3.9K]

Answer:

3

Step-by-step explanation:

since he said he counted 34 legs.

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34. you should first remove 2 from 34 that would give you 32. 32 divided by 4 which is the number of legs a single pig has is 8, 8 plus 2 divided by two which is the number of legs a single chicken has is 1 so I plus 8 is 9, but they said he has 10 animals, then you remove 4 again reducing the pig side to 28 and increasing the chicken size to 6. 28 divide by 4 is 7, and 6 divided by 2 is 3, so 3 plus 7 is 10, and ten is the number of animals, so the number of chicken is 3.

8 0
3 years ago
Solve the equation using the distributive property and properties of equality.
user100 [1]

Answer:

a=8

Step-by-step explanation:

-5(a+3)=-55

So we multiply -5 times a and 3 so we get:

-5a-15=-55

+15      +15

____________-

-5a=-40

÷-5    ÷-5

____________

a=8

Hope this helped :D

8 0
3 years ago
Read 2 more answers
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Shalnov [3]
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A faster method is to each digit in base 4 to two digits in base 2
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If you wanted to convert base 4 to (say) base 5 you would need the first method and convert to base 10 first
5 0
3 years ago
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