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2 years ago

Identify the interjection in the sentence below. Yikes! I almost stepped on a snake in our backyard.

1 answer:

8 0

The interjection in this sentence is Yikes!
Interjections are used to show some kind of emotion, and often end with an exclamation mark.

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Which equation is represented by the phrase “one-fourth of a number, increased by eight equals sixteen”?

Alexandra [31]

(1/4)x + 8 = 16

or...
(x/4) + 8 = 16

7 0

3 years ago

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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

Hey, on the answer, can you provide steps? I do wanna know the actual content, but im dumb :P

mixer [17]

Answer:

you're weirdjhsajsjkudhudhuehuehudhuihduihewi

3 0

2 years ago

Plz help fast I’m taking a quiz

marta [7]

Y= -1 +1/1. I hope it’s correct if not u can use desmos

6 0

2 years ago

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Write the ratio 12 to 18 as a fraction in simplest form.

iVinArrow [24]

Answer:

Thus, 2/3 is the simplified fraction for 12/18 by using the GCD or HCF method. Thus, 2/3 is the simplified fraction for 12/18 by using the prime factorization method.

Step-by-step explanation:

To convert a fraction to a ratio, first write down the numerator, or top number. Second, write a colon. Thirdly, write down the denominator, or bottom number. For example, the fraction 1/6 can be written as the ratio 1:6.

4 0

2 years ago

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