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Ronch [10]
3 years ago
14

The lighthouse keeper that is at the top of a lighthouse that

Mathematics
1 answer:
Amiraneli [1.4K]3 years ago
7 0

Step-by-step explanation:

Let θ be the angle of depression i.e the angle between the horizontal and the observer's line of sight.

tanθ= (Height of the light house)/(Horizontal distance of ship from the base of light house)

∴tanθ=88/1532=0.0574

∴θ=tan−1(0.0574)=3.290(2dp)

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Heyy pls help! worth 20 points, and please only help if you know the answer. also no links those r kinda annoying lol
iragen [17]

Step 1: Find the slope:

    m= \dfrac{y_2-y_1}{x_2-x_1}= \dfrac{-2-7}{4-(-2)} =  \dfrac{-9}{6}= -\dfrac{3}{2}

This gives you y=-\dfrac{3}{2}x+b, but we need to find b.

To find b, substitute in one (x,y) pair and it doesn't matter which one.  I'll go with (4,-2):

    \begin{aligned}-2&=-\dfrac{3}{2}(4)+b\\[0.5em]-2&=-6+b\\[0.5em]4&=b\end{aligned}

Now take that b-value and plug in into the slope-intercept form:

     y=-\dfrac{3}{2}x+4

It's always a good idea to toss in the other x-value from the other point, to make sure it checks out.

7 0
3 years ago
(−t 4 −5t 3 −10t 2 )+(9t 3 +3t 2 −1)
klemol [59]

Answer:

\left(-t^4-5t^3-10t^2\right)+\left(9t^3+3t^2-1\right)=-t^4+4t^3-7t^2-1

Step-by-step explanation:

Given the expression

\left(-t^4\:-5t^3\:-10t^2\:\right)+\left(9t^3\:+3t^2\:-1\right)

Remove parentheses:  (a)=a

=-t^4-5t^3-10t^2+9t^3+3t^2-1

Group like terms

=-t^4-5t^3+9t^3-10t^2+3t^2-1

Add similar elements        

=-t^4-5t^3+9t^3-7t^2-1         ∵ -10t^2+3t^2=-7t^2

Add similar elements        

=-t^4+4t^3-7t^2-1                  ∵  -5t^3+9t^3=4t^3

Thus, the equivalent expression in simplified form:

\left(-t^4-5t^3-10t^2\right)+\left(9t^3+3t^2-1\right)=-t^4+4t^3-7t^2-1

4 0
3 years ago
Peter spent 3/5 of his money and was left with $60. 1. How much money did he have at first2. Express what he remained with as a
german

60 / 2 = 30

30 * 5 = 150

he had $150 at first

60, the amount he was left with was 2/5 or 40% of his original amount

4 0
2 years ago
Find the distance between the following points: (3,-5),(-3, 9)
masya89 [10]
3x moved 3 units to the left, -5y moved 14 units to the right.
3 0
3 years ago
Read 2 more answers
What is the answer to −
Elis [28]

Answer:

-132

Step-by-step explanation:

5 0
3 years ago
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