Carly paid $17.50 for 7 gallons of gas and Jade paid $45 for 15 gallons of gas. Which of the following statements is true?
1 answer:
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The value of the angle subtended by the distance of the buoy from the
port is given by sine and cosine rule.
- The bearing of the buoy from the is approximately <u>307.35°</u>
Reasons:
Location from which the ship sails = Port
The speed of the ship = 10 mph
Direction of the ship = N35°W
Location of the warning buoy = 5 miles north of the port
Required: The bearing of the warning buoy from the ship after 7.5 hours.
Solution:
The distance travelled by the ship = 7.5 hours × 10 mph = 75 miles
By cosine rule, we have;
a² = b² + c² - 2·b·c·cos(A)
Where;
a = The distance between the ship and the buoy
b = The distance between the ship and the port = 75 miles
c = The distance between the buoy and the port = 5 miles
Angle ∠A = The angle between the ship and the buoy = The bearing of the ship = 35°
Which gives;
a = √(75² + 5² - 2 × 75 × 5 × cos(35°))
By sine rule, we have;
Therefore;
Which gives;
Similarly, we can get;
The angle subtended by the distance of the buoy from the port, <em>C</em> is therefore;
C ≈ 180° - 142.68° - 35° ≈ 2.32°
By alternate interior angles, we have;
The bearing of the warning buoy as seen from the ship is therefore;
Bearing of buoy ≈ 270° + 35° + 2.32° ≈ <u>307.35°</u>
Learn more about bearing in mathematics here:
Answer:
Seven numbers.
Step-by-step explanation:
Finding the numbers, which are equal to the sum of two odd number and it has to be single digit number.
Lets look into numbers which are odd and single digit.
1 =
∴ Sum of the number is
3 =
∴ Sum of above number is
5 =
∴ Sum of above number is
7=
∴ Sum of above number is
Now, accumlating numbers which are fullfiling the criteria, however, making sure no number should get repeated.
∴ Numbers are:
Hence, there are total 7 numbers, which are equal to the sum of two odd, one-digit numbers.