Answer:
D
Step-by-step explanation:
The pentagon has 5 interior angles that add up to 360. To find the angle of rotational symmetry, divide 360 by 5 (you get 72). So if you rotated the shape 72 degrees, it will map onto itself. 72 times 2 is 144, and that's rotating the shape 72 degrees twice, so it will stay the same.
A) $11.63
B) 7.5% tax on something that is $11.63 would be $.87225
C) total cost with sale and tax would be $12.50
Answer:
(-3)^2
Step-by-step explanation:
You add 7 on both sides, giving you x^2 - 6x = 7
Then, take half of b, and square it. Giving you x^2 - 6x +(-3)^2 = 7
The answer will be (-3)^2 for this question, but this is not the full solution.
Hope this helped. Good luck on the rest!
Step-by-step explanation:
The first step is to find out what times 9 - 23 = 49 the first step would be to add 49 + 23 and that would get 72 so then you find that x would = 8 so the second step should be to put the problem together so 72 - 23 = 49. so basically x would equal 8.
Answer:
B
Step-by-step explanation:
We are given that <em>x</em> and <em>y</em> are functions of time <em>t</em> such that <em>x</em> and <em>y</em> is a constant. So, we can write the following equation:
The rate of change of <em>x</em> and the rate of change of <em>y</em> with respect to time <em>t</em> is simply dx/dt and dy/dt, respectively. So, we will differentiate both sides with respect to <em>t: </em>
<em />![\displaystyle \frac{d}{dt}\Big[x(t)+y(t)\Big]=\frac{d}{dt}[k]](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cfrac%7Bd%7D%7Bdt%7D%5CBig%5Bx%28t%29%2By%28t%29%5CBig%5D%3D%5Cfrac%7Bd%7D%7Bdt%7D%5Bk%5D)
<em />
Remember that the derivative of a constant is always 0. Therefore:
And by subtracting dy/dt from both sides, we acquire:
Hence, our answer is B.
