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MakcuM [25]
3 years ago
9

Help quickly please! 50 points! I'll mark brainliest!

Mathematics
1 answer:
forsale [732]3 years ago
3 0

1.-.36

2.-.03

3.-1/5

4.-2/7

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Please Help! I'm stuck on this question. Show all work!
Valentin [98]

Add all the displacement vectors together, then find the magnitude of this vector sum.

\vec r_1=(72\,\mathrm{km})(\cos60^\circ\,\vec\imath+\sin60^\circ\,\vec\jmath)

\vec r_2=(48\,\mathrm{km})(\cos270^\circ\,\vec\imath+\sin270^\circ\,\vec\jmath)

\vec r_3=(100\,\mathrm{km})(\cos150^\circ\,\vec\imath+\sin150^\circ\,vec\jmath)

Summing these vectors gives the resultant displacement

\vec r=\vec r_1+\vec r_2+\vec r_3\approx(-50.6\,\vec\imath+64.4\,\vec\jmath)\,\mathrm{km}

and we have

\|\vec r\|=\sqrt{(-50.6)^2+64.4^2}\,\mathrm{km}\approx\boxed{81.9\,\mathrm{km}}

so the plane ends up about 81.9 km away from its starting position.

6 0
3 years ago
What was theThere was a pie-eating contest at the county fair. The 10 contestants were given 2 minutes to eat as many pieces of
spayn [35]

Answer: 5.125.

Step-by-step explanation: (1 / 4) + (6 / 8) + 2 + (5 / 8) + (6 / 4) = 5.125.

Hope I helped you.

6 0
3 years ago
Read 2 more answers
the value of a plot of land is $18000. Land tax charged at the rate of $0.70 per $100 value. What is the total amount of tax pai
Darina [25.2K]

Answer:

126 $

Step-by-step explanation:

1- 18000 / 100 = 180

2- 180 x 0.7 = 126$

7 0
3 years ago
Read 2 more answers
Help fast! Which one is true?
Serga [27]

Answer B

Step-by-step explanation:

I took the test and got it right

5 0
3 years ago
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Write (-3, -5) (-1, -19) in point slope form
stiv31 [10]

Answer:

(y + 5) = -7(x + 3)

Step-by-step explanation:

Point Slope Form:  (y - y1) = m(x - x1)

<u>Step 1:  Find Slope</u>

m = \frac{y2 - y1}{x2 - x1}

m = \frac{-19 - (-5)}{-1 - (-3)}

m = \frac{-19 + 5}{-1 + 3}

m = \frac{-14}{2}

m = -7

<u>Step 2:  Put into point slope form</u>

Point Slope Form:  (y - y1) = m(x - x1)

(y - (-5)) = -7(x - (-3))

(y + 5) = -7(x + 3)

8 0
3 years ago
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