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3 years ago

Thanks a lot:)))))!!!!!

Mathematics

1 answer:

xxMikexx [17]3 years ago

6 0

Answer:

negative

Step-by-step explanation:

that is a negative slope .

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A square tablecloth covers an area of 256 sq in it is folded in half some times until the area it covers is 8 sq in how many tim

Mazyrski [523]

Answer:

Step-by-step explanation:

I solved it meantally, sorry if it’s wrong, if it is, I’ll give you the correct answers, let me know in the chat if it’s right or wrong.

4 0

3 years ago

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

Inverse of y equals 12 to the x

e-lub [12.9K]

Answer:

$f^{-1}(x) = log_{12}(y)$

Step-by-step explanation:

We have the following function

y = 12^x, and we need to find the inverse function.

To find the inverse function we should solve the equation for "x". To do so, first, we need to:

1. Take the logarithm in both sides of the equation:

lg_12 (y) = log _12 (12^x)

(Please read lg_12 as: "Logarithm with base 12")

From property of logarithm, we know that lg (a^b) = b*log(a)

Then:

lg_12 (y) = x*log _12 (12)

We also know that log _12 (12) = 1

Then:

x = log_12(y).

Then, the inverse of: y= 12^x is:

$f^{-1}(x) = log_{12}(y)$

5 0

3 years ago

A person on a moving sidewalk travels 20 feet in 5 seconds. the moving sidewalk has a length of 80 feet. how long will it take t

Setler [38]

It will take 20 seconds to move from one end to another because if 20 feet is moved within 5 seconds, do that 4 more times to get to 80. Finally, multiply 5 by 4 to get 20 seconds.

7 0

3 years ago

Would someone plz just answer this and give me a right answer?

Temka [501]

Answer: Hi what are the options

Step-by-step explanation:

3 0

3 years ago

Thanks a lot:)))))!!!!!​

Thanks a lot:)))))!!!!!