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bazaltina [42]
3 years ago
9

What is the area of a circle if the circumference is 31.4 inches ?

Mathematics
1 answer:
Gnesinka [82]3 years ago
5 0

Answer:

A≈78.46in²

Step-by-step explanation:

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A ship leaves port and travels due west for 30 knots, then changes course to S 30° W and travels 50 more knots. Find the bearing
leva [86]

Answer:

  232°

Step-by-step explanation:

There are a couple of ways to find the desired direction. Perhaps the most straightforward is to add up the coordinates of the travel vectors.

  30∠270° +50∠210° = 30(cos(270°), sin(270°)) +50(cos(210°), sin(210°))

  = (0, -30) +(-43.301, -25) = (-43.301, -55)

Then the angle from port is ...

  arctan(-55/-43.301) ≈ 231.79° . . . . . . . 3rd quadrant angle

The bearing of the ship from port is about 232°.

_____

<em>Comment on the problem statement</em>

The term "knot" is conventionally used to indicate a measure of speed (nautical mile per hour), not distance. It is derived from the use of a knotted rope to estimate speed. Knots on the rope were typically 47 ft 3 inches apart. As a measure of distance 30 knots is about 1417.5 feet.

5 0
3 years ago
I need answers quick thanks
Tema [17]
B :) open circle means inequality and it needs to be at least 3 so the line has to increase, meaning the arrow is going right.
8 0
2 years ago
Solve this complex fractions: (3/4)/2
strojnjashka [21]

Answer:

your answer is 0.375

Step-by-step explanation:

7 0
3 years ago
20 POINTS!!! PLEASE HELP
Vedmedyk [2.9K]
360=x+x+(2x+3)+(2x+3)
we have 360=2x+2x+2x+6
360-6=6x
354=6x
x=354/6=59
x=59

6 0
3 years ago
Read 2 more answers
A circle has an equation (x+2)2+(y−5)2=64. What is 34 of its area.
skad [1K]

Answer:

3/4 of the area of the circle is of 48\pi squared units.

Step-by-step explanation:

Equation of a circle:

The equation of a circle has the following format:

(x - x_0)^2 + (y - y_0)^2 = r^2

In which the center is (x_0,y_0) and r is the radius.

Area of a circle:

The area of a circle of radius r is given by:

A = \pi r^2

Circle (x+2)² + (y-5)² = 64

Comparing with the standard equation, we have that:

r^2 = 64

Area of the circle:

A = \pi r^2 = 64\pi

What is 3/4 of its area?

\frac{3A}{4} = \frac{3*64\pi}{4} = 3*16\pi = 48\pi

3/4 of the area of the circle is of 48\pi squared units.

8 0
3 years ago
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