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ruslelena [56]
3 years ago
7

Use complete sentences to describe how measurements of position in two directions (vertical and horizontal) are sufficient enoug

h to describe the position of an object on a flat surface
Mathematics
1 answer:
Diano4ka-milaya [45]3 years ago
8 0
By using a coordinate system I believe you can find the position of any objects on a flat surface.

If you have an eraser on your table and would like to know its position, you could make your own x and y axis and see in which quadrant your object is in.
your eraser could be 2 units in the x direction (horizontal) and 5 units in the y direction (vertical). 

Now you can use this 'x and y' axis that you have drawn to locate any object. 
If you want to be accurate, you should draw your axes with a meter ruler and choose your point of origin.

Hope I answered your question.

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Given: cosθ= -4/5 , sin x = -12/13 , θ is in the third quadrant, and x is in the fourth quadrant; evaluate tan 1/2 θ
mrs_skeptik [129]

Answer:

Step-by-step explanation:

If you're looking for what the half angle of the tangent of theta is, I'm a bit confused as to why you think the angle in the 4th quadrant, x, is relevant.  But maybe you don't know it isn't and it's a "trick" to throw you off.  Hmm...

Anyways, the half angle identity for tangent is

tan(\frac{\theta}{2})=\frac{sin\theta}{1+cos\theta}

There are actually 3 identities for the tangent of a half angle, but this one works just as well as either of the others do, so I'm going with this one.  

If theta is in QIII, the value of -4 goes along the x axis and the hypotenuse is 5.  That makes the missing side, by Pythagorean's Theorem, -3.  Filling in our formula:

tan(\frac{\theta}{2})=\frac{-\frac{3}{5} }{1+(-\frac{4}{5}) } which simplifies a bit to

tan(\frac{\theta}{2})=\frac{-\frac{3}{5} }{\frac{5}{5} -\frac{4}{5} }  and a bit more to

tan(\frac{\theta}{2})=\frac{-\frac{3}{5} }{\frac{1}{5} }

Bring up the lower fraction and flip it to divide to get

tan(\frac{\theta}{2})=-\frac{3}{5}*\frac{5}{1} which of course simplifies to

-3.  Choice A.

6 0
3 years ago
The legs of a right triangle are four units and 7 units what is the length of the hypotenuse
alexdok [17]
This is where Pythagorean's Theorem comes into play. a^2+b^2=c^2
So take 4^2 + 7^2 (which is 16+49), and your result is 65. Take the square root of 65 and you get 8.06 (8.1 rounded up)
7 0
3 years ago
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USPshnik [31]

Answer: i hope you do great! grades don’t define you :)

Step-by-step explanation:

8 0
3 years ago
The expression once The left side of an equation is shown below. 3(x+1)+9 if the equation has no solution which expression can b
lys-0071 [83]
<h3>Answer:</h3>

C. 4(x-3)-x

<h3>Step-by-step explanation:</h3>

All of the given expressions are equivalent to 3x+12 except selection C. Using that in your equation makes it be ...

... 3(x +1) +9 = 4(x -3) -x

... 3x +12 = 3x -12

... 12 = -12 . . . . . <em>false</em>

There is no value of x that will make this true, hence NO SOLUTION.

_____

<em>Comment on the other choices</em>

3x+12 = 3x+12 has an <em>infinite number of solutions</em>, as <u><em>any</em></u> value of x will make this true.

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14 it will be (x + 14) it's not the answer I don't know what it would be

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