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adell [148]
3 years ago
6

el angulo de depresion de un barco desde un acantilado es de 54° y si se acerca 150m a la costa es de 72° ¿cual es la altura del

acantilado?

Mathematics
1 answer:
elena-s [515]3 years ago
4 0

Answer:

Step-by-step explanation:

the angle of depression of a boat from a cliff is 54 ° and if it approaches 150m to the coast it is 72 ° what is the height of the cliff?

Check attachment for drawing

Using trigonometry on triangle ABC

tan x = opposite / adjacent

tan72 = h / 150

h = 150 × tan 72

h = 461.65 m

Verifique el archivo adjunto para dibujar

Usando trigonometría en el triángulo ABC

tan x = opuesto / adyacente

tan72 = h / 150

h = 150 × tan 72

h = 461.65 m

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A new restaurant with 134 seats is being planned. Studies show that 62​% of the customers demand a​ smoke-free area. How many se
zzz [600]

Answer: 100

Step-by-step explanation:

Given : The total number of seats planned in new restaurant =134

The percentage of customers demand a​ smoke-free area = 62%

It can also be written as 62\%=\dfrac{62}{100}=0.62

The mean of this binomial distribution will be :-

\mu=np\\\\\mu=(134)(0.62)=83.08

Standard deviation:-

\sigma=\sqrt{np(1-p)}\\\\\Rightarrow\sigma=\sqrt{134(0.62)(0.38)}\approx5.6

Now, the number of seats should be in the​ non-smoking area in order to be very sure ​of having enough seating​ there :-

\mu+3\sigma=83.08+3(5.6)=99.88\approx100

4 0
3 years ago
At a bargain store, Tanya bought 4 items that each cost the same amount. Tony bought 5 items that each cost the same amount, but
Alex_Xolod [135]

If x is the amount that Tanya paid for each item, then Tony's items would be x-2.25. So:

3x=4(x-2.25)

3x=4x-9

x=9

x-2.25=6.75

Tanya spent $9 on each item; Tony spent $6.75 on each of his items. ☺☺☺☺

6 0
3 years ago
if i have 19 friends they each want 3 slices of cake i have 38 slices how do i divide and get a simple remainder.
Salsk061 [2.6K]
38 divided by 19 than multiply by 3
3 0
3 years ago
5a - 9 + a = 9
Ne4ueva [31]

Answer:

a = 3

Step-by-step explanation:

1) Simplify 5a - 9 + a to 6a - 9.

6a - 9 = 9

2) Add 9 to both sides.

6a = 9 + 9

3) Simplify 9 + 9 to 18.

6a = 18

4) Divide both sides by 6.

a =  \frac{18}{6}

5) Simplify 18/6 to 3.

a = 3

Therefor, the answer is, a = 3.

7 0
2 years ago
According to the National Center for Health​ Statistics, in​ 1990, 28% of babies in the United States were born to parents who w
svlad2 [7]

Answer:

The year is  b =  1995

Step-by-step explanation:

From the question we are told that

   The percentage of the number of babies born out of wedlock in 1990 is  k = 28%

    The percentage by which the number increase per year is  i = 0.6%

     The percentage of of the number of babies born out of wedlock considered is  a = 31%

Generally the difference in between the percentage in 1990 and the percentage considered is  

       d =  a - k

=>    d =  31 - 28

=>   d =  3\%

Generally the number of year require for the percentage to be equal  to  31%  is mathematically represented as

       n = \frac{3\%}{0.6\%}

=>     n = 5\ years

Generally the year which the considered percentage will be attained is  

    b =  1990 + n

=> b =  1990 + 5

=> b =  1995

6 0
3 years ago
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