Here's Francesca's description of the scatterplot:

Mathematics

1 answer:

aivan3 [116]2 years ago

6 0

The answer is a . because i said so .

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A jogger ran 3 miles due east of his house. then he ran 5 miles at a heading of 30o east of north (or 30o ne). how far is he fro

Natasha_Volkova [10]

Magnitude of the net displacement: 7.0 miles

Step-by-step explanation:

In order to find the total displacement of the man, we have to resolve each displacement along the x- and y- direction.

Taking x as positive x direction and y as positive north direction:

- The first motion is 3 miles due east, so

$A_x = 3 mi\\A_y = 0$

- The second motion is 5 miles at $30^{\circ}$ east of north, so:

$B_x = 5 sin 30^{\circ}=2.5 mi\\B_y = 5 cos 30^{\circ}=4.3 mi$

So the components of the net displacement are

$R_x = A_x + B_x = 3 + 2.5 = 5.5 mi\\R_y = A_y+B_y = 0 + 4.3 = 4.3 mi$

And so the magnitude of the net displacement is

$d=\sqrt{R_x^2+R_y^2}=\sqrt{5.5^2+4.3^2}=7.0 mi$

So, he is 7.0 miles far from the house.

Learn more about distance and displacement:

brainly.com/question/3969582

#LearnwithBrainly

4 0

3 years ago

Show the work please

Neporo4naja [7]

False, False, True
**********
The first is false since the square root of 19 is 4 and 4/7 is not a whole number

The second is false since the square root of 40 is 6.32 which is less than 7

The last is true because the square root of 30 is 5.48 and that makes the fraction equal 3.65 which again is a whole number while 2/3 is not

3 0

3 years ago

Which is equivalent to 3log28 + 4log212 − log32?

DiKsa [7]

Answer:log1.39*10^12=12.14

Step-by-step explanation: