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3 years ago

The two lines represent the distance traveled by Noah and Diego. Which person is running more quickly? Explain how you know.

Mathematics

1 answer:

bezimeni [28]3 years ago

4 0

Answer: It Diego i think please don’t be mad at me if you get it wrong

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A 140 kg camera is suspended by two wires over a 40 metre wide football field to get shots of the action from above. At one poin

Katen [24]

Answer:

Please red the answer below

Step-by-step explanation:

In order to determine the length of each cable you use the Newton second law for each component of the forces involved in the situation.

For the x component you have:

$T_1cos\theta_1-T_2cos\theta_2=0$ (1)

T1: tension of the first cable = 1500N

T2: tension of the second cable = 800N

θ1: angle between the horizontal and the first cable

θ2: angle between the horizontal and the first cable

For the y component you have:

$T_1sin\theta_1+T_2sin\theta_2-W=0$ (2)

W: weight of the camera = Mg = (140kg)(9.8m/s^2) = 1372N

You can squared both equations (1) and (2) and the sum the two equations:

$T_1^2cos^2\theta_1=T_2^2cos^2\theta_2\\\\T_1^2sin^2\theta_1=T_2^2sin^2\theta_2-2WT_2sin\theta_2+W^2$

Then, you sum the equations:

$T_1^2(cos^2\theta_1+sin^2\theta_1)=T_2^2(sin^2\theta_2+cos^2\theta_2)-2Wsin\theta_2+W^2$ (3)

Next, you use the following identity:

$sin^2\theta+cos^2\theta=1$

and you obtain in the equation (3):

$T_1^2=T_2^2-2WT_2sin\theta_2+W^2\\\\sin\theta_2=\frac{T_2^2-T_1^2+W^2}{2WT_2}=\frac{(800N)^2-(1500)^2+(1372N)^2}{2(800N)(1372N)}=0.066\\\\\theta_2=sin^{-1}0.066=27.23\°$

With this values you can calculate the value of the another angle, by using the equation (1):

$\theta_1=cos^{-1}(\frac{T_2cos(27.23\°)}{T_1})=cos^{-1}(\frac{(800N)(cos27.23\°)}{1500N})\\\\\theta_1=61.69\°$

Now, you can calculate the length of each cable by using the information about the width of the football field. You use the following trigonometric relation:

$l_1cos\theta_1=40-d\\\\l_2cos\theta_2=d\\\\$

d: distance to the right side of the field

By using the cosine law you can fins a system of equation and then you can calculate the values of l1 and l2.

3 0

2 years ago

90 3/7 was a demical

LenKa [72]

90.42857143 or
90.4 to nearest decimal

6 0

3 years ago

PLZZZZZ HELP ME! :) XDDD

Taya2010 [7]

In order to figure out what the answer is you would have to divide the number of feet it fell by the time. If you do 35.75 divided by 3.25 it would be 11.
So the answer most likely would be 11
Please correct me if I am wrong
Have a great day!

4 0

3 years ago

What is the perimeter of a polygon with vertices at (3, 2) , (3, 9) , (7, 12) , (11, 9) , and (11, 2) ?

Vaselesa [24]

Answer:

the answer is 32 units.

Step-by-step explanation:

4 0

3 years ago

60.5 minus 15% <br> PLEASE SHOW YOUR WORK

Olin [163]

Answer:

60.35

Step-by-step explanation:

15% as a decimal is 0.15 so, 60.5 - 0.15 = 60.35

4 0

3 years ago

Read 2 more answers