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Elenna [48]
3 years ago
13

PLEASE HELP!!!! :(

Mathematics
1 answer:
AlladinOne [14]3 years ago
4 0
The tangent of the angle gives the ratio of the height of the lighthouse to the boat's distance
.. tan(angle of depression) = (lighthouse height)/(boat distance)
Then the distance to the boat is
.. boat distance = (lighthouse height)/tan(angle of depression)

We want to find the difference between two distances, so
.. boat travel = (lighthouse height)*(1/tan(first angle) -1/(tan(second angle))
.. = (200 ft)*(1/tan(17°31') -1/tan(46°41'))
.. ≈ 445.10 ft
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Find an equation of the plane consisting of all points that are equidistant from (-3, 5, -4) and (-5, 0, 4), and having -2 as th
Firdavs [7]

Answer:

-2x-5y+8z+4.5=0

Step-by-step explanation:

Let (x,y,z) be the coordinates of the point lying on the needed plane. This point is equidistant from the points (-3, 5, -4) and (-5, 0, 4), so

d_1=\sqrt{(x-(-3))^2+(y-5)^2+(z-(-4))^2}=\sqrt{(x+3)^2+(y-5)^2+(z+4)^2}\\ \\d_2=\sqrt{(x-(-5))^2+(y-0)^2+(z-4)^2}=\sqrt{(x+5)^2+y^2+(z-4)^2}\\ \\d_1=d_2\Rightarrow \sqrt{(x+3)^2+(y-5)^2+(z+4)^2}=\sqrt{(x+5)^2+y^2+(z-4)^2}\\ \\(x+3)^2+(y-5)^2+(z+4)^2=(x+5)^2+y^2+(z-4)^2\\ \\x^2+6x+9+y^2-10y+25+z^2+8z+16=x^2+10x+25+y^2+z^2-8z+16\\ \\-4x-10y+16z+9=0\\ \\-2x-5y+8z+4.5=0

5 0
3 years ago
Read 2 more answers
43 ones times 3 tens = how many tens
romanna [79]
Well 43 ones times 3 tens is basically 43 times 30 which is 1,290
then divide that by ten to get how many tens and you will get 129 tens
hope this helps
3 0
3 years ago
Read 2 more answers
A university is comparing the grade point averages of theater majors with the grade point averages of history majors. The univer
AveGali [126]

Answer:

100+79

hope it works

did it on a test

8 0
2 years ago
Please solve this problem and I’ll give brainliest
Kay [80]

Answer:

I am pretty sure that the answer is d

Step-by-step explanation:

7 0
3 years ago
An arithmetic sequence has this recursive formula: (a^1 =8, a^n= a^n-1 -6
eduard

Answer:

a_n = 8 + (n - 1) (-6)

Step-by-step explanation:

Given

a_1 = 8

Recursive: a_{n} = a_{n-1} - 6

Required

Determine the formula

Substitute 2 for n to determine a_2

a_{2} = a_{2-1} - 6

a_{2} = a_{1} - 6

Substitute a_1 = 8

a_2 = 8 - 6

a_2 = 2

Next is to determine the common difference, d;

d = a_2 - a_1

d = 2 - 8

d = -6

The nth term of an arithmetic sequence is calculated as

a_n = a_1 + (n - 1)d

Substitute a_1 = 8 and d = -6

a_n = a_1 + (n - 1)d

a_n = 8 + (n - 1) (-6)

Hence, the nth term of the sequence can be calculated usinga_n = 8 + (n - 1) (-6)

3 0
3 years ago
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