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4 years ago

5

Savannah is having her teammates over after the basketball game. She decided that 2 pizzas would feed 5 people, so how many pizz

as should she order for 18 people if each person gets the same amount?

1 answer:

Nonamiya [84]4 years ago

3 0

8 pizzas
I need brainliest!!!!!

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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.

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3 years ago

(100 POINTS) Instructions:

erma4kov [3.2K]

Answer:

Length: 15

Width: 12

Height: 13

Step-by-step explanation:

Hope this helps!

(Mark as brainleist plz)

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3 years ago

Find the area of the figure.

Feliz [49]

Look up "Everything You Need To Know About Math In One Big Fat Notebook pdf." It's the best thing I've ever been given, I have it with me in math class all the time and I've aced every test.

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3 years ago

-3^2 + -2^3 + 6 <br> answer plzzz!!!

Ilya [14]

Answer:

-11

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

Please help I asked this question earlier and nobody answered! :(

tatiyna

Answer:

B

Step-by-step explanation:

One way to tell is to put both equations into slope-intercept form. That form is usually written $y=mx+b$ where <em>m</em> is the slope and <em>b</em> is the y-intercept.

Solve the first equation for y.

$6x+2y=5 \\ 2y=-6x+5 \\ y=-3x+5/2$

The slope of this line is -3, and its y-intercept is 5/2.

Solve the second equation for y.

$y+3x=2\\y=-3x+2$

The slope of this line is -3 and its y-intercept is 2.

The lines are parallel because they have the same slope and <u>different</u> y-intercepts. There is no solution to the system.

8 0

3 years ago