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GREYUIT [131]
3 years ago
6

Is number 4 correct?

Mathematics
1 answer:
Strike441 [17]3 years ago
6 0

Answer:

sure

Step-by-step explanation:

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An airplane leaves an airport at 9:00 p.M. With a heading of 270 and a speed of 610 mph. At 10:00 p.M. The pilot changes the he
timama [110]

Answer:

2330.51 miles

Step-by-step explanation:

Given that the speed of the airplane = 610 mph.

The airplane leaves an airport at 9:00 P.M. with a heading of 270 degrees and at 10:00 P.M., the pilot changes the heading to 310 degrees.

So, for 1 hour the plane is heading at 270 degrees and for 3 hours, from 10:00 p.m to 1:00 a.m, the plane is heading at 310 degrees as shown in the figure.

As, distance = time x speed, so

The distance covered at 270 degrees, d_1 = 1\times610=610 miles.

The distance covered at 310 degrees, d_2 = 3\times610=1830 miles.

Total distance covered, d, is the magnitude of the sum of vectors \vec{d_1} and \vec{d_2} as shown in the figure.

The angle between the vectors \vec{d_1} and \vec{d_2}, \theta=310-270=40 degree.

Magnitude of sum of the vectors \vec{d_1} and \vec{d_2},

d= \sqrt{|\vec{d_1}|^2+|\vec{d_2}|^2+2|\vec{d_1}|\;|\vec{d_2}|\cos\theta} \\\\\Rightarrow d=\sqrt{610^2+1830^2+2|\vec{d_1}|\;|\vec{d_2}|\cos\(40^{\circ})}

\Rightarrow d=2330.51 miles

Hence, at 1:00 a.m, the airplane is at a distance of 2330.51 miles from the airport.

4 0
3 years ago
Find 10 rational number between 6/7 and -5/7 please give me right solution​
erik [133]

Answer:

Step-by-step explanation:

Note that the distance from -5/7 to 6/7 is 6/7 - (-5/7) = 11/7.

So, if you take steps of 1/7 each, there are 10 steps between -5/7  = 11/7.

-4/7, -3/7, -2/7, ..., 5/7

3 0
3 years ago
2+d=2-3(d-5)-2 Pls show work
defon
2 + d = 2 - 3(d- 5) - 2

First, cancel 2 on both sides. / Your problem should look like: d = -3(d - 5) - 2
Second, expand. / Your problem should look like: d = -3d + 15 - 2
Third, simplify -3d + 15 - 2 to get -3d + 13. / Your problem should look like: d = -3d + 13
Fourth, add 3d to both sides. / Your problem should look like: d + 3d = 13
Fifth, add d + 3d to get 4d. / Your problem should look like: 4d = 13
Sixth, divide both sides by 4. / Your problem should look like: d =  \frac{13}{4}

Answer as fraction: d =  \frac{13}{4}
Answer as decimal: d = 3.25

3 0
3 years ago
Read 2 more answers
Alyssa walked 1.34 fewer miles than Emily. Alyssa walked 7.45 miles. How many miles did Emily walk?
Umnica [9.8K]
6.11 miles is Emily’s Distance amount
6 0
2 years ago
Find the slope and y intercept<br><img src="https://tex.z-dn.net/?f=%20-%206x%20%2B%204y%20%3D%20%20-%2012" id="TexFormula1" tit
Verdich [7]
The correct answer would be : Slope : 3/2 and Y-Intercept : −3

I hope that this helps you !

3 0
3 years ago
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