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olya-2409 [2.1K]
3 years ago
10

Megan is taking the bus from New York City to Montreal. The distance is 380 miles and the bus travels at a steady rate of 76 mil

es per hour. How long will the bus ride be?
Mathematics
1 answer:
nikitadnepr [17]3 years ago
6 0

Answer: 5 hours

Step-by-step explanation: 380/76

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The bearing of a lighthouse from a ship is N 37° E. The ship sails 2.5 miles further from the lighthouse. The new bearing is 25°
djverab [1.8K]

Answer:

The distance between the ship at N 25°E and the lighthouse would be 7.26 miles.

Step-by-step explanation:

The question is incomplete. The complete question should be

The bearing of a lighthouse from a ship is N 37° E. The ship sails 2.5 miles further towards the south. The new bearing is N 25°E. What is the distance between the lighthouse and the ship at the new location?

Given the initial bearing of a lighthouse from the ship is N 37° E. So, \angle ABN is 37°. We can see from the diagram that \angle ABC would be 180-37= 143°.

Also, the new bearing is N 25°E. So, \angle BCA would be 25°.

Now we can find \angle BAC. As the sum of the internal angle of a triangle is 180°.

\angle ABC+\angle BCA+\angle BAC=180\\143+25+\angle BAC=180\\\angle BAC=180-143-25\\\angle BAC=12

Also, it was given that ship sails 2.5 miles from N 37° E to N 25°E. We can see from the diagram that this distance would be our BC.

And let us assume the distance between the lighthouse and the ship at N 25°E is AC=x

We can apply the sine rule now.

\frac{x}{sin(143)}=\frac{2.5}{sin(12)}\\ \\x=\frac{2.5}{sin(12)}\times sin(143)\\\\x=\frac{2.5}{0.207}\times 0.601\\ \\x=7.26\ miles

So, the distance between the ship at N 25°E and the lighthouse is 7.26 miles.

3 0
3 years ago
You are dealth one card from a 52-card deck. find the probability that you are dealt a two or a black card
grigory [225]
The probability of getting a 2 or a getting a black card, find individual probabilities; 

A standard deck has 52 cards. 

There are 4 2's in a normal deck; probability of getting it is 4/25 

The probability of getting a black card is; 26/52 since half the deck is red and black. 

Now add up the probabilities since it says "or" 

(4/52)+(26/52)=30/52 probability of the card that you were dealt being a two or a black card. 

Hope I helped :) 
6 0
3 years ago
Randy saving for console cost $290 he got a $50 gift card from grandma $15 each week, how many weeks until he get money?
aalyn [17]

Answer:

it will take him 16 weeks

Step-by-step explanation:

290 subtract 50 equals 240

240 divided by 15 equals 16

7 0
3 years ago
20. The perimeter of a square is 72 in. What is its area?
ivanzaharov [21]

The formula for perimeter is length + length + width + width

You know that all the sides of a square are equal to each other. That means that all the values in the perimeter formula should be the same. Therefore you can divide 72 by 4 (perimeter divided by the number of sides)

72 / 4 = 18

^^^Each side is 18 in

The formula for are is...

A = length x width

so...

18 * 18 = 324

324 in^2

Hope this helped!

~Just a girl in love with Shawn Mendes

6 0
3 years ago
People produce 5,650,00 card each year Ben wrote that they make 6,550,000 cars. What mistake did he make and how can u fix it? :
Masja [62]
How much more does it need to, get to 6,550,000?


7 0
3 years ago
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