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3 years ago

-5(6n+6)=30 I need help

Mathematics

1 answer:

Mrac [35]3 years ago

7 0

Answer:

N= -2

Step-by-step explanation:

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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

3 years ago

What two numbers that Add to 0 but also Multiply to -4

Nataliya [291]

four and negative four :)

4 0

3 years ago

Read 2 more answers

4y and 5xy are like terms or are unlike terms

Norma-Jean [14]

Answer:

Unlike terms

Step-by-step explanation:

If it was 4y and 5y it would be like. Adding the x though makes them unlike terms, you cannot combine them

4 0

3 years ago

The measures of an angle and its supplement differ by 40°. What are the measures of the angles? Hint: An angle and its supplemen

bogdanovich [222]

Let the two numbers be x and x + 40, then
x + x + 40 = 180
2x = 180 - 40 = 140
x = 140/2 = 70
Therefore, the measures of the two angles are 70° and 70 + 40 = 110°

3 0

3 years ago

Which of the following symbols, when placed in the blank, makes the number sentence true ? 20/75 _____ 0.26

Elan Coil [88]

The answer is 0.2666 when u convert the fraction.So if I were you I would put B.

4 0

4 years ago

-5(6n+6)=30 I need help​

-5(6n+6)=30 I need help