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3 years ago

Don’t understand!! please help!! and show work!

Mathematics

1 answer:

goldenfox [79]3 years ago

3 0

To find the correct answer, you have to simplify the equation.

Multiply -1/2 by everything in the parenthesis.

3/4x - 3x - 1/2 - 3x. Combine like terms.

-21/4x - 1/2. Turn -21/4x into a mixed number.

-5 1/4x - 1/2.

Your answer is D

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Hellllpme!!!!! ASAP!

Vikki [24]

Answer:

Step-by-step explanation:

This notation says that x+x+x+x+37=69

This can be simplified to say 4x+37=69

6 0

3 years ago

Read 2 more answers

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

Melissa needs to wrap a gift box that is shaped like a rectangular prism. The length is 6 inches, the width is 6 inches and the

vekshin1

Answer:

A=264

Step-by-step explanation:

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3 years ago

3. Use each number line to show a different way to count from $580 to $994

Amiraneli [1.4K]

What are the number lines though?

Give more info.

6 0

3 years ago

A triangle is isosceles is the altitude from the vertex angle to the base also passes through the midpoint of the base. What are

leonid [27]

Answer:

The answer to your question is 7 and -1/7

Step-by-step explanation:

Data

First line Second line

B (4, 4) A (0, 1)

M (3.5, 0.5) C (7, 0)

Formula

Slope = m = (y2 - y1) / (x2 - x1)

Process

1.- Calculate the slope of the first-line

x1 = 4 y1 = 4

x2 = 3.5 y2 = 0.5

-Substitution

m = (0.5 - 4) / (3.5 - 4)

-Simplification

m = -3.5 / -0.5

-Result

m = 7

2.- Calculate the slope of the second line

x1 = 0 y1 = 1

x2 = 7 y2 = 0

-Substitution

m = (0 - 1) / (7 - 0)

-Simplification

m = -1/7

-Result

m = -1/7

5 0

3 years ago