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3 years ago

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:

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In which

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$\mu$ is the mean in the given interval.

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

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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?

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Step-by-step explanation:

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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

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After cross multiplication;

5x = 50 * 2

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The same for ratio 3

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5y = 50 * 3

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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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