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2 years ago

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5. What is the greatest common factor of 12 and 16? A 2 C 12 B 4 D 48

2 answers:

garik1379 [7]2 years ago

6 0

Step-by-step explanation:

The greatest common factor of 12 and 16 is 4

telo118 [61]2 years ago

4 0

The answer for the greatest common factor of 12 and 16 is 4

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LA plane is trying to travel 250 miles at a bearing of 20° E of S, however, it ends 230 miles away from the

Semmy [17]

Answer:

The wind pushed the plane $65.01$ miles in the direction of $45.56 ^{\circ}$ East of North with respect to the destination point.

Step-by-step explanation:

Let origin, O, br the starting point and point D be the destination at 250 miles at a bearing of 20° E of S, but due to wind let D' be the actual position of the plane at 230 miles away from the starting point in the direction of 35° E of South as shown in the figure.

So, we have |OD|=250 miles and |OD'|=230 miles.

Vector $\overrightarrow{DD'}$ is the displacement vector of the plane pushed by the wind.

From figure, the magnitude of the required displacement vector is

$|DD'|=\sqrt{|AB|^2+|PQ|^2}\;\cdots(i)$

and the direction is $\alpha$ east of north as shown in the figure,

$\tan \alpha=\frac{|PQ|}{|AB|}\;\cdots(ii)$

From the figure,

$|AB|=|OA-OB|$

$\Rightarrow |AB|=|OD\cos 20 ^{\circ}-OD'\cos 35 ^{\circ}|$

$\Rightarrow |AB|=|250\cos 20 ^{\circ}-230\cos 35 ^{\circ}|$

$\Rightarrow |AB|=45.52$ miles

Again, $|PQ|=|OP-OQ|$

$\Rightarrow |PQ|=|OD\sin 20 ^{\circ}-OD'\sin 35 ^{\circ}|$

$\Rightarrow |PQ|=|250\sin 20 ^{\circ}-230\sin 35 ^{\circ}|$

$\Rightarrow |PQ|=46.42$ miles

Now, from equations (i) and (ii), we have

$|DD'|=\sqrt{|45.52|^2+|46.42|^2}=65.01$ miles, and

$\tan \alpha=\frac{|46.42|}{|45.52|}$

$\alpha=\tan^{-1}\left(\frac{|46.42|}{|45.52|}\right)=45.56 ^{\circ}$

Hence, the wind pushed the plane $65.01$ miles in the direction of $45.56 ^{\circ}$ E astof North with respect to the destination point.

5 0

2 years ago

To the nearest tenth, what is the length of the hypotenuse of an isosceles right triangle with a leg of 7 3 inches? A) 15.7inche

Soloha48 [4]

Very sure it’s C trust the process

4 0

3 years ago

Read 2 more answers

Linear or nonlinear

marusya05 [52]

Answer:

I think its linear so I dont know 100% but I think it's a sorry if I'm wrong

7 0

2 years ago

Read 2 more answers

HELP WITH MY GEOMETRY REVIEW

hammer [34]

1. Corresponding angles
2. Supplementary angles
3. Same side interior angles
4. Alternate interior angles

5 0

2 years ago

Find the missing side length to the nearest tenth of a millimeter.

Zarrin [17]

Answer:

A = 4.7

Step-by-step explanation:

To find the missing leg, use this formula:

$a = \sqrt{c^2 - b^2}$

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Have a good day :)

5 0

2 years ago