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2 years ago

From the top of a 210 foot lighthouse located at sea level, the keeper spots a boat at an angle of depression of 23 degrees

1 answer:

6 0

The distance from the lighthouse to the boat will be given by:
tan θ=opposite/adjacent
θ=angle of depression=23
opposite= height of the lighthouse
adjacent=distance from the boat to the bottom of the light house
hence
tan 23=210/a
thus solving for a we obtain:
a=210/tan23
hence
a=494.73 ft

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The combustion of one gallon of automobile fuel produces about 5 pounds of carbon (in CO₂). Two autos are making a trip of 600 m

rewona [7]

Answer:

Approximately 50 pounds less carbon (in CO₂) will be produced by the second auto on this trip.

Step-by-step explanation:

We have been given that the combustion of one gallon of automobile fuel produces about 5 pounds of carbon (in CO₂). Two autos are making a trip of 600 miles.

Let us find amount of fuel used by autos by dividing the total distance by their mileage.

$\text{Fuel used by 1st auto}=\frac{\text{ 600 miles}}{\frac{\text{ 20 miles}}{\text{gallon}}}$

$\text{Fuel used by 1st auto}=\frac{\text{ 600 miles}}{\text{ 20 miles}}\times \text{gallon}$

$\text{Fuel used by 1st auto}=30 \text{ gallons}$

$\text{Fuel used by 2nd auto}=\frac{\text{ 600 miles}}{\frac{\text{ 30 miles}}{\text{gallon}}}$

$\text{Fuel used by 2nd auto}=\frac{\text{ 600 miles}}{\text{ 30 miles}}\times \text{gallon}$

$\text{Fuel used by 2nd auto}=20 \text{ gallons}$

Let us find the difference of fuel used by both autos.

$\text{Number of gallons that 2nd auto used less than 1st auto}=30-20$

$\text{Number of gallons that 2nd auto used less than 1st auto}=10$

Since one gallon of automobile fuel produces about 5 pounds of carbon, so 10 gallons of fuel will produces $5\times 10=50$ pounds of carbon.

Since 2nd auto used 10 gallons less than 1st auto, therefore, 2nd auto will produce 50 pounds less carbon than 1st auto.

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2 years ago

How many miles can the car travel using 9 gallons of gasline

Igoryamba

Answer:

Great question! First find the rate: 240 miles/9 gallons = 26.7 miles/gallon. So this means Reuben can drive 26.7 miles per 1 gallon.

Step-by-step explanation:

Let me know if you have any questions!

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1 year ago

What does it mean to say that two variables are positively associated?

stealth61 [152]

Answer:

Option A is correct.

Step-by-step explanation:

Correlation coefficients tell us how strongly the two variables are associated.

A positive correlation is a relation when both the variables move together in the same direction. Like if value of first increases the other also increases.

When the correlation coefficient is greater than 0, this means that both variables are correlated.

So, the answer here will be :

A. There is a linear relationship between the variables, and whenever the value of one variable increases, the value of the other variable increases.

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2 years ago

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Reptile [31]

A) No one in the class studied more then 5 hours

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