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denis-greek [22]
3 years ago
10

When are x+3 and 2x equal? When are they not equal? Use your diagrams to explain.

Mathematics
1 answer:
Tanzania [10]3 years ago
4 0
Yes hope this helps :)


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What is /-3/*-6?<br><br> When you answer could you please explain to me why the answer is that?
jekas [21]
|-3|=3 right?
Then it is
3*-6=-18
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If I am traveling 80 kilometers per hour how long will it take me to travel 20 kilometers per hour
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Given: cos θ=-4/5, sin x = -12/13, θ is in the third quadrant, 
USPshnik [31]

By definition of tangent,

tan(2<em>θ</em>) = sin(2<em>θ</em>) / cos(2<em>θ</em>)

Recall the double angle identities:

sin(2<em>θ</em>) = 2 sin(<em>θ</em>) cos(<em>θ</em>)

cos(2<em>θ</em>) = cos²(<em>θ</em>) - sin²(<em>θ</em>) = 2 cos²(<em>θ</em>) - 1

where the latter equality follows from the Pythagorean identity, cos²(<em>θ</em>) + sin²(<em>θ</em>) = 1. From this identity we can solve for the unknown value of sin(<em>θ</em>):

sin(<em>θ</em>) = ± √(1 - cos²(<em>θ</em>))

and the sign of sin(<em>θ</em>) is determined by the quadrant in which the angle terminates.

<em />

We're given that <em>θ</em> belongs to the third quadrant, for which both sin(<em>θ</em>) and cos(<em>θ</em>) are negative. So if cos(<em>θ</em>) = -4/5, we get

sin(<em>θ</em>) = - √(1 - (-4/5)²) = -3/5

Then

tan(2<em>θ</em>) = sin(2<em>θ</em>) / cos(2<em>θ</em>)

tan(2<em>θ</em>) = (2 sin(<em>θ</em>) cos(<em>θ</em>)) / (2 cos²(<em>θ</em>) - 1)

tan(2<em>θ</em>) = (2 (-3/5) (-4/5)) / (2 (-4/5)² - 1)

tan(2<em>θ</em>) = 24/7

4 0
3 years ago
HELP ME ANSWER PLEASE<br>HELP <br>HELP<br>SOMEONE PLEASE<br>ANYBODY?
Sedaia [141]

Answer:

1. X > 8

2.  a.  X < 5

Step-by-step explanation:

1. 3x - 8 > 16

    +8.    +8

3x > 24

divide both sides by 3

x >8

2.   2x - 1 < 9

          +1.   +1

      2x < 10

divide both sides by 2

x < 5

8 0
2 years ago
Please help with this
lana66690 [7]
Alright, let's convert to decimals for these calculations: fractions could get messy.
1/5 = .2
1/2 = .5

Imagine a rectangular solid in your mind. How many sides does it have?
6. In the image shown you have 3 facing you. In addition to those, there are 3 not shown. They will correspond to the calculations you make on the front, though, so all you have to do is double the values you get.

Area is length * width, or length * height, or width * height. So:
A = 3.2 (length) * 4.5 (height) for the front face of the rectangular solid(as well as the back face.)
A = 5 (width) * 4.5 (height) for the right face of the rectangular solid (and the one on the left, away from you.)
A = 3.2 (length) * 5 (width) for the top of the solid(and the bottom).

Calculating these values, we get that 
A=14.4
A=22.5
A= 16
So that's 3 out of 6 values for the full surface area.
Like I said though, these values can merely be doubled for the complete area.
Add these three together:
14.4+22.5+16=52.9
multiply by 2 to account for the other 3 sides
52.9 * 2 = 105.8
105.8 is the surface area.
4 0
3 years ago
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