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anyanavicka [17]
3 years ago
10

Please Help! I'm stuck on this question. Show all work!

Mathematics
1 answer:
Valentin [98]3 years ago
6 0

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.

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6.3r < -45.36 which graph shows the correct soultion
skelet666 [1.2K]

6.3 r < -45.36

Here first we have to solve for r and for that we need to get rid of 6.3 .

To get rid of 6.3, we divide both sides by 6.3 that is

r < -7.2

So the solution is all the values which are less then -7.2

And for graph, we put a blank circle or a parenthesis that is () on -7.2 and extend a line to the left side since the inequality is less then .

4 0
3 years ago
Della bought a tree seedling that was 2 1/4 feet tall. During the first year, it grew 1 1/6 Feet. After two years, it was 5 feet
Margarita [4]

Answer:

Step-by-step explanation:

Alright, lets get started.

Della bought a tree seeding that was 2\frac{1}{4} feet tall means \frac{9}{4} feet.

First year it grew 1\frac{1}{6} feet means it grew \frac{7}{6} feet.

It means after 1 year, the height of tree will be = \frac{9}{4}+\frac{7}{6}=\frac{41}{12}

After 2 years, the height of tree is = 5 feet

So, it grew in second year = 5-\frac{41}{12}

So, it grew in second year = \frac{60-41}{12}=\frac{19}{12}

So, it grew in second year=1\frac{7}{12} feet.   :  Answer

Hope it will help :)

3 0
3 years ago
Two campers leave their campsite at point A to go on a hike. Camper one heads east for 3 miles, then heads north 3 miles to poin
soldier1979 [14.2K]
It's A
- Let<span> the </span>point<span> where </span>camper 1 heads north<span> be </span>D<span> and the </span>point<span> where </span>camper 2 heads 
7 0
3 years ago
Read 2 more answers
The height of a vase is 45.7 centimeters when rounded to the nearest tenth of a centimeter. What is the shortest possible height
vlada-n [284]

Answer:

45.650 centimeters

Step-by-step explanation:

The height of a vase is 45.7 centimeters when rounded to the nearest tenth of a centimeter. What is the shortest possible height of the vase? Give your answer to 3 decimal places

Given that :

Height of vase = 45.7 when rounded to the nearest tenth

The shortest possible height of the vase : will be 45.65, this is because, the subsequent digit (hundredth) after the tenth digit is the figure rounded to give a tenth digit of 7

From the we know that the tenth digit before rounding is 7 - 1 = 6

And smallest possible value the hundredth placed digit could have in other to be rounded to 1 is 5.

To three decimal place, the thousandth placed value could take the least possible value in a digit series, which is 0

Hence, the shortest possible height of the vase = 4.650

4 0
2 years ago
An elevator starts on the 100th floor. It descends 4 floors every 10 seconds. At what floor will the elevator be 60 seconds afte
Artyom0805 [142]
So is 4 floors / 10 seconds
If you have 60 seconds you can multiple 10 by 6 because 10×6=60
so you also have to multiple 4 by 6
4×6=24
and because it's descending it's 100-24= 76
8 0
3 years ago
Read 2 more answers
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