Really, we don't need to use that much math--we can use logic instead. Since the two congruent sides must be longer than 30in, the total has to be greater than 60in (the longest side plus the congruent sides.) So for our answer, we want the smallest total that is above sixty, which in this case is 72.44in.
Hope I helped, and let me know if you have any questions :) I can explain the real math if you want, it was just unnecessary here.
Answer:
C) 1/3
Step-by-step explanation:
First look at equation: 3x+y=1
re-write as y=mx+b
y=-3x+1
so the slope of this equation i s-3
so if a line is perpendicular to the above equation,
its slope will be reciprocal negative which is 1/3
I feel like it would be mean or median, because there is no outlier, making it so that all of the numbers are closely put together.
Put the set into order.
25, 26, 27, 28, 29
So, we know that this is all in order, making it so that we know for sure that there is no outlier.
If you find the mean, it'll represent the data nicely.
We know that both the mean and median represent the data set nicely, because it just does. It's one of those things that are extremely painful and hard to fully explain and have someone understand, but don't worry, it makes sense.
So, it can't just be the mean only or the median only.
It also can't be the mode only, because THERE IS NO MODE!
So, our final answer is mean or median :)
~Hope I helped!~
8)
is -0.896 radians
9) length of arc is 41.91 cm
Solution:
8)
Given that,
![tan\ \theta = \frac{-5}{4}](https://tex.z-dn.net/?f=tan%5C%20%5Ctheta%20%3D%20%5Cfrac%7B-5%7D%7B4%7D)
is in quadrant 4
To find: ![\theta](https://tex.z-dn.net/?f=%5Ctheta)
From given,
![tan\ \theta = \frac{-5}{4}\\\\\theta = tan^{-1} \frac{-5}{4}\\\\\theta = tan^{-1} (-1.25)\\\\\theta = -51.34](https://tex.z-dn.net/?f=tan%5C%20%5Ctheta%20%3D%20%5Cfrac%7B-5%7D%7B4%7D%5C%5C%5C%5C%5Ctheta%20%3D%20tan%5E%7B-1%7D%20%5Cfrac%7B-5%7D%7B4%7D%5C%5C%5C%5C%5Ctheta%20%3D%20tan%5E%7B-1%7D%20%28-1.25%29%5C%5C%5C%5C%5Ctheta%20%3D%20-51.34)
Thus value of
is -51.34 degrees
Convert degrees to radians
![-51.34\ degree = -51.34 \times \frac{ \pi }{180}\ radian\\\\-51.34\ degree = -0.896\ radian](https://tex.z-dn.net/?f=-51.34%5C%20degree%20%3D%20-51.34%20%5Ctimes%20%5Cfrac%7B%20%5Cpi%20%7D%7B180%7D%5C%20radian%5C%5C%5C%5C-51.34%5C%20degree%20%3D%20-0.896%5C%20radian)
Thus
is -0.896 radians
9)
From given,
radius = 15.4 cm
![\theta = \frac{13 \pi }{15}](https://tex.z-dn.net/?f=%5Ctheta%20%3D%20%5Cfrac%7B13%20%5Cpi%20%7D%7B15%7D)
<em><u>The length of arc when angle in radians is:</u></em>
![arc\ length = r \times \theta\\\\arc\ length = 15.4 \times \frac{ 13 \pi }{15}\\\\arc\ length = 15.4 \times 2.721\\\\arc\ length = 41.91](https://tex.z-dn.net/?f=arc%5C%20length%20%3D%20r%20%5Ctimes%20%5Ctheta%5C%5C%5C%5Carc%5C%20length%20%3D%2015.4%20%5Ctimes%20%5Cfrac%7B%2013%20%5Cpi%20%7D%7B15%7D%5C%5C%5C%5Carc%5C%20length%20%3D%2015.4%20%5Ctimes%202.721%5C%5C%5C%5Carc%5C%20length%20%3D%2041.91)
Thus length of arc is 41.91 cm
Answer: 1/9
Step-by-step explanation: