Please help!!!! ASAP HURRY

A ship leaves port on a bearing of 34.0° and travels 10.4 miles. the ship then turns due east and travels 4.6 miles. how far is

maks197457 [2]

is a clockwise angle measured from due North. This is a problem, because all of the trigonometric functions are referenced to a counterclockwise angle measured from East.

A bearing of 34∘ corresponds to a trigonometric angle of θ1=90∘−34∘=56∘

The (x,y) values for the position of the ship after completing its first heading are:

x=(10.4mi)cos(56∘)
y=(10.4mi)sin(56∘)

The trigonometric angle for the second heading is θ2=90∘−90∘=0∘

The (x,y) values for the position of the ship after completing its second heading is:

x=(10.4mi)cos(56∘)+(4.6mi)cos(0∘)≈10.4mi
y=(10.4mi)sin(56∘)+(4.6mi)sin(0∘)≈8.6mi

The distance from port is:

d=√(10.4)2+(8.6)2≈13.5mi

Its trigonometric angle is:

θ=tan−1(yx)

θ=tan−1(8.610.4)

θ≈39.6∘

The bearing angle is:

θb=90∘−39.6∘=50.4∘

6 0

4 years ago

Grace and Zoe like to jump rope grades jump 66 times a minute Zoe jumps 56 times a minute they both Count Their jumps today and

san4es73 [151]

Answer:

Grace jumps for 9 minutes.

Zoe jumps for 12 minutes.

Step-by-step explanation:

Let the time for which Grace jumps the rope = $x$ minutes

Let the time for which Zoe jumps the rope = $y$ minutes

As per question statement:

$x+y=21 ..... (1)$

Number of times Grace jumps in one minute = 66

Number of times Zoe jumps in one minute = 56

Number of times Grace jumps in $x$ minutes = 66

Number of times Zoe jumps in $y$ minutes = 56

As per question statement:

$66x+56y=1266 ...... (2)$

Multiplying equation (1) with 66 and subtracting equation (2) from it:

$10y = 1386 - 1266\\\Rightarrow 10y=120\\\Rightarrow y =\bold{12\ min}$

By equation (1):

$x=21-12=\bold{9\ min}$

Therefore, the answer is:

Grace jumps for 9 minutes.

Zoe jumps for 12 minutes.

5 0

3 years ago

Please help!!!!!!!!! THIS WILL BOOST MY GRADE

grandymaker [24]

Answer:

<h2>The answer is B </h2>

Step-by-step explanation:

The answer is B because

9 new light bulbs + 6 used light bulbs = 15 total bulbs

Meredith selected 2 light bulds

So there's a probability of (2/15) that Meredith will select a new light bulb and then a used light bulb

4 0

3 years ago

Read 2 more answers

A plane flies at 350 mph in the direction N 40° E with a wind blowing at 40 mph in the direction S 70° E. What is the plane’s dr

kozerog [31]

Answer:

The drift angle is approximately 7.65° towards the East from the plane's heading

Step-by-step explanation:

The speed of the plane = 350 mph

The direction in which the plane flies N 40° E = 50° counterclockwise from the eastern direction

The speed of the wind = 40 mph

The direction of the wind = S 70° E = 20° clockwise from the eastern direction

The component velocities of the plane are;

$R_{Plane}$ = (350 × cos 50)·i + (350 × sin 50)·j

$R_{Wind}$ = (40 + cos 20)·i - (40 × sin 40)·j

The resultant speed of the plane = $R_{Plane}$ + $R_{Wind}$ = 265.915·i +242.404·j

The direction the plane is heading = tan⁻¹(242.404/265.915) ≈ 42.35°

Therefore, the drift angle = Actual Angle - Direction of the plane = 50 - 42.35 ≈ 7.65° towards the East

7 0

3 years ago

Read 2 more answers

Fill in the table using this function rule y=-10x+2

Andrews [41]

Answer:

for the first row

when X= -1

y= 10(-1) +2

y= -10 + 2

y= -8

second row

x=0

y=+2

third row

x= 1

y= 12

fourth row

x=5

y= 52

6 0

3 years ago