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3 years ago

One type of insect is 0.0052 meter long.what is this length in scientific notation

1 answer:

7 0

Because scientific notation has to be in between 1 and 10, you would need this to be 5.2. Count the spaces and since its getting smaller your exponent is negative.

Your answer should be 5.2*10^(-3)

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Let |u| = 10 at an angle of 45° and |v| = 13 at an angle of 150°, and w = u + v. What is the magnitude and direction angle of w?

mixer [17]

Given:

$|u|=10$ at an angle of 45°.

$|v|=13$ at an angle of 150°.

$w=u+v$

To find:

Magnitude and direction angle of w.

Solution:

We have,

$w=u+v$

$\theta = 45^\circ, \phi = 150^\circ$

Now,

$u_x=|u|\cos \theta=10\cos 45^\circ=7.071$

$u_y=|u|\sin \theta=u_y=10\sin 45^\circ=7.071$

$v_x=|v|\cos \phi=13\cos 150^\circ=-11.25833$

$v_y=|v|\sin \phi=u_y=13\sin 150^\circ=6.5$

Using these information, we get

$R_x=u_x+v_x=7.071-11.25833=-4.18733$

$R_y=u_y+v_y=7.071+6.5=13.571$

$\text{Direction angle}=\tan^{-1}(\dfrac{R_y}{R_x})$

$\text{Direction angle}=\tan^{-1}(\dfrac{13.571}{-4.18733})$

$\text{Direction angle}=-72.8239$

$\text{Direction angle}=107.1476$

$\text{Direction angle}\approx 107.1$

Now,

$|w|=\sqrt{(|u|\cos \theta +|v|\cos \phi)^2+(|u|\sin \theta +|v|\sin \phi)^2}$

$|w|=\sqrt{(10\cos(45)+13\cos 150)^2+(10\sin(45)+13\sin 150)^2}$

$|w|=\sqrt{(10(\dfrac{1}{\sqrt{2}})+13(-\dfrac{\sqrt{3}}{2}))^2+(10(\dfrac{1}{\sqrt{2}})+13(\dfrac{1}{2}))^2}$

$|w|=14.20236$

$|w|\approx 14.20236$

Therefore, the correct option is D.

4 0

3 years ago

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6 0

3 years ago

What the median number for 4, 8 10 5 9

ZanzabumX [31]

Actually, the median is not the same as the average.
The mean and the average are the same.
To find the median, put these numbers in order.
So 4, 5, 8, 9, 10. Now see which number is in the middle.
It is 8, so 8 is the median number.

4 0

3 years ago

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Which table of ordered pairs represents a proportional relationship?

bogdanovich [222]

Answer:

Third table

Step-by-step explanation:

For the relationship to be proportional

y/x = constant

First table y/x = 8/4 = 2 then 7/11 doesn't =2 so it is not

Second table y/x =52/5 = 5 then 49/7 doesn't =5 so it is not

Third table y/x = 3/6=1/2 then 5/10 = 1/2 then 7/14 = 1/2 it is proportional

Last table y/x = 6/3 = 2 then 11/8 doesn't =2 so it is not

7 0

3 years ago

4/7m = 2/7( 2m+1 )<br> What is M?<br> Check Solution

aev [14]

4/7m = 2/7(2m + 1)
4/7m = 4/7m + 2/7
4/7m - 4/7m = 2/7
0 = 2/7 (incorrect)

no solution

5 0

3 years ago

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