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3 years ago

Can someone answer this please

Mathematics

1 answer:

vova2212 [387]3 years ago

5 0

Answer:

X > 2

Step-by-step explanation:

all the numbers highlight are greater than 2 hence the answer

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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

3 years ago

Help me please with this math question! giving brainliest to the correct answer

Sergio039 [100]

Base - i cant tell if it’s multiplication or a decimal but if it’s a decimal base is 3.4 if it’s multiplication 12

height - 3.52

area - 1/2 x 3.4(might be 12) x 3.52 = 5.984

6 0

3 years ago

Read 2 more answers

Simplify the following<br>(4x + 3) (5x + 2)

lidiya [134]

Answer:

20x^2+23x+6

Step-by-step explanation:

(4x+3)(5x+2)

(4x)(5x)+2(4x)+(5x)3+3(2)

20x^2+8x+15x+6

20x^2+23x+6

Hope that helps :)

8 0

3 years ago

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a student Miss 10 problems on an English test and received a grade of 44%. If all the problems were of equal value, how many pro

eimsori [14]

Answer:

Rounded to the nearest integer, the test had 18 problems in all.

Step-by-step explanation:

Given that a student missed 10 problems on an English test and received a grade of 44%, if all the problems were of equal value, to determine how many problems were on the test the following calculation must be performed:

100 - 44 = 56

56 = 10

100 = X

100 x 10/56 = X

1,000 / 56 = X

17.85 = X

Thus, rounded to the nearest integer, the test had 18 problems in all.

5 0

3 years ago

Lee charges $3 for a basket and $2.50 for each pound of fruit picked at the orchard.

Sliva [168]

Answer:

Y=2.50x+3

Step-by-step explanation:

Because the $3 fee is not changing but the 2.50 is changing every pound that they get.

7 0

3 years ago

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