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Nitella [24]
3 years ago
8

A ship leaves port at​ 1:00 pm and travels Upper N 70 degrees Upper WN70°W at the rate of 10 mph. Another ship leaves the same p

ort at​ 1:30 pm and travels Upper S 10 degrees Upper ES10°E at the rate of 8 mph. How far apart in miles are the ships at​ 3:00 pm​ ?

Mathematics
1 answer:
Leni [432]3 years ago
7 0

Answer:

30.4 miles

Step-by-step explanations:

Please refer to the attached image for explanations

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find the area of the shaded regions. Give your answers as a completely simplified exact value in terms of pi. (no approximate)
Zigmanuir [339]

Answer:

Take out the area of the full circle first:

A= pi r^2

A= 3^2 x pi

A= 28.274 cm3

Area of smaller cirlces:

A= pi r^2

A= 1^2 x pi

A= 3.14159

Multiply by 2 as 2 circles: 6.28318

Substract unshaded from shaded: 28.274-6.28318

Area of shaded is 21.99082 cm3

Step-by-step explanation:

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3 years ago
I’ve saved £264. I will spend 3/12 of this. How much do I have left?
lara [203]
Hi there! The answer is £198.

If you spend 3 / 12 of a certain amount of money, you have 9 / 12 of the money left.

Simplify the fraction.
9 / 12 = 3 / 4.

To find the amount of money left, we multiply this factor by 264. We get the following
£264 × 3/4 = £264 × 0.75 = £198

Therefore the answer is £198
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3 years ago
Ramiro earns $20 per hour during the week and $30 per hour for overtime on the weekends. One week Ramiro earned a total of $650.
nika2105 [10]

Answer:

Week=25 Hours

Weekend= 5 Hours

Step-by-step explanation:

So we need to use the info they gave us and create two equations. Firstly we know how much he gets paid per hour during the week (x) and how much he gets paid on the weekend (y).

$20x+$30y=$650

We get this because we know the combined rates he is paid times the hours should add up to the amount he earned.

The next equation will be made off of the information that he worked 5 times as many hours during the week as on the weekend. This tells us that we will take the weekend hours (y) and multiply them by 5 in order to get the week hours (x).

x=5y      Now, since we have one variable by itself, we can plug it in for x in the first equation.

20(5y)+30y=650    Our first step here is to distribute the 20 to the 5y in order to eliminate the parenthesis.

100y+30y=650    Next add the like terms together (100y+30y).

Now all we have to do to find y is divide by 130 on both sides to get y alone.

130y=650  

________

130     130

y=5             Now to solve for x we just plug our y value into one of the equations above. I'm going to use the second equation.

x=5(5)

x=25      

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2 years ago
At Dairy Land, 50% of the 32 ice cream flavors contain fruit. How many ice cream flavors contain fruit?
lesya692 [45]

Answer:

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Step-by-step explanation:

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Answer:

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