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Harrizon [31]
3 years ago
10

1- A is a ratio that compares a number to 100. 2. A is an equation that shows that two ratios are equivalent. 3. In a one ratio

compares a part to a whole. 4. A number that can be written as a fraction is a H i . . p 5. The is the least common multiple of the denominators of two or more fractions.

Mathematics
1 answer:
Katarina [22]3 years ago
3 0
1. Percentage

2. Proportion

3. Fraction

4. Rational number (you are correct)

5. LCD (Least common multiple)
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The course for a boat race starts at point A and proceeds in the direction of S52'E for 1 hour at 8 knots to point B and then in
KATRIN_1 [288]

Answer:

20.823 nautical miles

S20°E

Step-by-step explanation:

I assume you mean ° (degrees), not ' (minutes).  There are 60 minutes in 1 degree.

S52°E means "south, 52° east", or 52° east of south.

S50°W means "south, 50° west", or 50° west of south.

1 knots = 1 nautical mile / hour, so the boat first travels 8 nautical miles from A to B, then 4.5 nautical miles from B to C, then finally back to A.

If we say A is at the origin, then the coordinates of B are:

(8 sin 52°, -8 cos 52°)

And the coordinates of C are:

(8 sin 52° − 4.5 sin 50°, -8 cos 52° − 4.5 cos 50°)

(2.857, -7.818)

So the distance from A to C is:

x = √(2.857² + (-7.818)²)

x ≈ 8.323

And the total distance of the race is:

d = 8 + 4.5 + 8.323

d = 20.823

The compass bearing from A to C is:

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θ ≈ S20°E

8 0
3 years ago
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