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kotykmax [81]
3 years ago
11

There are 18 female students and 16 male students in a class. Which of the following expresses the ratio of female students to m

ale students in simplest form?
A) 8/9

B) 9 to 8

C) 8 : 9

D) 18/16

(I think it’s B but can someone help me out)
Mathematics
1 answer:
fiasKO [112]3 years ago
4 0

Hey!

-------------------------------------------------

Solution:

The ratio is FEMALES to MALES.

So its 18/16, 18:16, or 18 to 16.

~Now we need to simplify.

18:16 → 18/2:16/2 → 9:8

*Note* When you have a ratio you need to know which comes first. If you put males to females that incorrect. It has to be correct according to the question.

-------------------------------------------------

Answer:

\large\boxed{B)~9~to~8}

-------------------------------------------------

Hope This Helped! Good Luck!

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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
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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:

θ = atan(2.857 / 7.818)

θ ≈ S20°E

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From a 60-ft observation tower on the coast, a Coast Guard officer sights a capsized boat. The angle of depression to the
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