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3 years ago

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