A chess player played 44 games total. If he won 16 of the games, what is the ratio of games he lost to games he won?

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

Please help!

Gemiola [76]

The earning of the salesperson is an illustration of a linear function.

The possible functions in the two scenarios are: $\mathbf{I(s) = 0.1s + 2500}$ and $\mathbf{I(s) = 0.05s + 2000}\\$

The function is given as:

$\mathbf{I(s) = 0.1s + 2000}$

When the base salary is increased, a possible function is:

$\mathbf{I(s) = 0.1s + 2500}$

This is so, because 2500 is greater than 2000

When the commission rate is decreased, a possible function is:

$\mathbf{I(s) = 0.05s + 2000}\\$

This is so, because 0.05 is less than 0.1

So, the possible functions in the two scenarios are:

$\mathbf{I(s) = 0.1s + 2500}$ and $\mathbf{I(s) = 0.05s + 2000}\\$

See attachment for the graphs of both functions

Read more about linear equations at:

brainly.com/question/21981879

5 0

2 years ago

A bridge is 3911.1 meters long. Which of the following best describes the length of the bridge in kilometers?

Angelina_Jolie [31]

Answer:

3.9111 km

Explanation:

The length in kilometers is equal to the meters divided by 1,000. So, if you divide 3911.1 by 1,000 that equals 3.911. You move the decimal point to the left 3 times based on the number of zeros.

3 0

2 years ago

I REALLY NEED SOME HELP :(

tamaranim1 [39]

Answer:

12m is the correct answer because yes friend

4 0

3 years ago

Write 12 as a product of its prime factors

Minchanka [31]

Answer:

the Prime Factors of 12 are: 2, 2, 3.

Step-by-step explanation:

Therefore 12 = 2 X 2 X 3.

6 0

3 years ago