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Vladimir [108]
3 years ago
12

Trig problem i need help with

Mathematics
1 answer:
zaharov [31]3 years ago
8 0

Answer:

Distance between boat and light house = 134 m

Step-by-step explanation:

Given data:

Height of light house = 46 m

Angle of elevation from boat to the top of light house = 19°

From the data given to us we can construct a right triangle ABC.

For the Δ ABC

AB= 46 m

∠C= 19°

We can apply trigonometric ratio to find side BC which is the distance of light house from the boat.

\tan19\°=\frac{AB}{BC}

Multiplying both sides by BC.

BC\tan19\°=\frac{AB}{BC}\times BC

BC\tan19\°=AB

Dividing both sides by tan 19°

\frac{BC\tan19\°}{tan 19\°}=\frac{AB}{tan 19\°}

BC=\frac{AB}{tan 19\°}

Substituting value of AB and tan 19°

BC=\frac{46}{0.344}

BC=133.59\ m\approx134\ m

Distance between boat and light house = 134 m

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Answer:

0.18203 = 18.203% probability that exactly four complaints will be received during the next eight hours.

Step-by-step explanation:

We have the mean during a time-period, which means that the Poisson distribution is used to solve this question.

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}

In which

x is the number of sucesses

e = 2.71828 is the Euler number

\mu is the mean in the given interval.

A service center receives an average of 0.6 customer complaints per hour.

This means that \mu = 0.6h, in which h is the number of hours.

Determine the probability that exactly four complaints will be received during the next eight hours.

8 hours means that h = 8, \mu = 0.6(8) = 4.8.

The probability is P(X = 4).

P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}

P(X = 4) = \frac{e^{-4.8}*4.8^{4}}{(4)!} = 0.18203

0.18203 = 18.203% probability that exactly four complaints will be received during the next eight hours.

5 0
3 years ago
In rhombus ABCD, DB=16 and AC=12. What is the perimeter of rhombus ABCD?
riadik2000 [5.3K]
DB+ DC= 32
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Find the quotient 7.980 divided by 0.19
Advocard [28]
The answer 7980 divided by .19 =/is 42.  
5 0
3 years ago
5) a = 9, a = 34, n = 6
Stella [2.4K]

I need more info

Step-by-step explanation:

6 0
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A factory adds three red drops and two blue drops of coloring to white paint to make each pint purple The factory will make 50 g
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30 gallons of red paint  &  20 gallons of blue paint

Step-by-step explanation:

The ratio of red to blue paint drops to make purple paint is 3 : 2

Therefore the total number of gallon, in this case, fifty (50) is equivalent to the total of two ratios (which is 3 + 2 5)

If 5 in the ratio = 50; what about 2  & 3

5 = 50

2 = x

After cross multiplication;

5x = 50 * 2

X = 100/5

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The same for ratio 3

5 = 50

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5y = 50 * 3

y = 150/5

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The answer is therefore; 30 gallons of red paint to 20 gallons of blue paint

Learn More:

For more on ratios check out;

brainly.com/question/11662922

#LearnWithBrainly

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