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ycow [4]
3 years ago
6

Do alto de um farol cuja altura é de 20 m avista se um navio sob ângulo de depressão de 30°. A que distância , aproximadamente,

o navio se acha do farol ?

Mathematics
1 answer:
Mkey [24]3 years ago
7 0
Esta é a trigonometria . Se você desenhar uma linha a partir do topo da casa de luz para o barco, você terá a hypotonuse de um triângulo. Um truque é lembrar que este é um triângulo especial. É um triângulo 30-60-90 , que tem propriedades especiais mostradas na fixação abaixo . por isso sabemos que o lado adjacente que não é o hyposonuse é x√3 . Agora sabemos que x<span>√3 = 20
Solve for x.
x</span><span>√3=20
divide both sides by </span><span>√3.
x=20/(</span><span><span>√3)
</span>Try not to have square roots (</span><span><span>√)</span> in denomenator so multiply top and bottom by </span><span>√3 and get
x=(20</span><span>√3)/3
x is what we are looking for so the answer is </span>
20<span>√3 m </span><span>ou cerca de 34.64 m</span>










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galben [10]

Answer and step-by-step explanation:

Tim Carter money made:

First 40 hours = 40 * pay per hour = 40 * 5.15 = $206 (weekly pay)

Because he works for 50 hours so next 10 hours (50-40) = 10 * (1.5*5.15)

= 10* 7.725 = $77.25

Total money he made:

= 206 + 77.25 = $283.25

Jeese Jones money amde:

First 40 hours = 40 * pay per hour = 40 * 5.15 = $206 (weekly pay)

Because he works for 47.5 hours so next 7.5 hours (47.5-40) = 7.5 * (1.5*5.15)

= 7.5 *7.725 = $57.9375

Total money Jeese Jones made:

= 206 + 57.9375 = $263.9375

Barbara Burns money made:

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Because Barbara Burns works for 44 hours so next 4 hours (44-40) = 4 * (1.5*5.15)

= 4* 7.725 = $30.9

Total money Barbara Burns made:

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Hope this help you :3

6 0
3 years ago
What is the slope of a line parallel to the line -3x+5y=-10
lapo4ka [179]

This looks familiar, right? Like slope-intercept.

y=mx+b, where m is the slope.

Let's right it like that.

5y=3x-10 (add 3x to both sides, since we want to isolate the y.)

Now divide by 5, since - again - we want to isolate the y.

y= 3/5x-10/5 >>>> y= 3/5x-2

I think the slope is 3/5.

If the line happens to be parallel, the slope is the same. If perpendicular, it is opposite reciprocal. So if it was perpendicular, the slope would be -5/3.

4 0
3 years ago
Read 2 more answers
What is the answer to this math question?
oksano4ka [1.4K]

Answer:

The answer is option 3.

Step-by-step explanation:

First we have to find the area of both rectangle and triangle :

Rectangle,

area = base \times height

Let base = 9,

Let height = 3,

area = 9 \times 3 \\ area = 27 \:  {m}^{2}

Triangle,

area =  \frac{1}{2}  \times base \times height

Let base = 3,

Let height = 3,

area =  \frac{1}{2}  \times 3 \times 3 \\ area =  \frac{1}{2}  \times 9 \\ area =  \frac{9}{2}  \\ area = 4.5 \:  {m}^{2}

Lastly, in order to find the shaded region you have to substract the area of triangle from the area of rectangle :

area = 27 - 4.5 \\ area = 22.5 \:  {m}^{2}

5 0
3 years ago
Read 2 more answers
We are interested in the dimensions of a certain rectangle. this rectangle has length twice the side of the square and width thr
Mila [183]
Area of square = s^2
Area of Rectangle = lw
l = 2s

w+3 = s
solve for w, w=s-3
Now we have l and w.
Plug both into area of rectangle formula so: (2s)(s-3)
Since both areas are equal set both equations equal to each other:
(2s)(s-3)=s^2
Now simplify
2s^2-6s=s^2
s^2-6s=0, Solve for s.
Factor polynomial. s(s-6)=0 , s can be equal to 0 or 6. HOWEVER, you cannot have a side length of 0 therefore the side length has to be 6.
Now plug in s for the length formula for the rectangle:
l = 2s so... l = 2(6) so length of rectangle = 12.
Now plug in s for the width formula for the rectangle:
w+3=s so... w+3=6 so width of rectangle = 3.
Now the dimensions of the rectangle are 12 by 3. 12 being length and 3 width.
To CHECK:
Find area of rectangle:
A=lw so A=3 times 12 so A=36
Find area of square:
We know the side is equal to 6 so
A=s^2 so 6^2 = 36
The areas are equal that verifies the answer of 12 by 3.
8 0
3 years ago
You give 1/2 up a $46,000 salary to go back to school for 5 years. The total cost for going to school is $22,000. How much money
Ket [755]

The individual needs to earn $74,750 salary per year in order to recover the investment in 4 years.

What salary amount makes the individual as they were without a salary cut?

By the time the individual resumes back for work after 5 years, they need to earn their previous salary of $46,000 and recover the lost salaries, which is half of $46,000 lost in the last 5 years.

Total salaries lost=1/2*$46,000*5years

Total salaries lost=$115,000

Because the salaries lost needs to be recovered over 4 years, the extra earnings over and above the $46,000 in 4 years is the total salaries lost divided by 4 years

extra salary per year=$115,000/4

extra salary per year=$28,750

Total salary now=prior salary+ extra salary per year

Total salary now=$46,000+$28,750

Total salary now=$74,750

Find out more about investment payback on:brainly.com/question/23149718

#SPJ1

4 0
1 year ago
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