Answer:
7sqrt(15) - 5sqrt(6)
------------------------------
45
Step-by-step explanation:
7 -sqrt(10)
-----------------------
3 sqrt(5) *sqrt(3)
7 -sqrt(10)
-----------------------
3 sqrt(15)
Multiply the top and bottom by sqrt(15)/ sqrt(15)
7 -sqrt(10) sqrt(15)
----------------------- * ------------
3 sqrt(15) sqrt(15)
(7 -sqrt(10))* sqrt(15)
-----------------------------------
3 *15
Distribute
7sqrt(15) - sqrt(150)
------------------------------
45
sqrt(ab) =sqrt(a) sqrt(b)
150 = 25*6
7sqrt(15) - sqrt(25)sqrt(6)
------------------------------
45
7sqrt(15) - 5sqrt(6)
------------------------------
45
In my opinion, Darrin's inference is wrong because according to given question, "<em>Darrin surveyed a random sample of 10 students from his science class about their favorite types of TV shows.</em><em>"</em><em> </em>
This line provides the information that the survey is taken randomly. Also, if Darrin had taken some other students, then the ineference of other new students compared with previously surveyed students will be different.
This frankly tells that <em>t</em><em>h</em><em>e</em><em> </em><em>p</em><em>r</em><em>o</em><em>b</em><em>a</em><em>b</em><em>i</em><em>l</em><em>i</em><em>t</em><em>y</em><em> </em><em>i</em><em>s</em><em> </em><em>d</em><em>i</em><em>f</em><em>f</em><em>e</em><em>r</em><em>e</em><em>n</em><em>t</em><em> </em><em>a</em><em>l</em><em>w</em><em>a</em><em>y</em><em>s</em><em>.</em>
Therefore, Darrin's inference is wrong or invalid.
Answer:
D. reflection across a vertical line
Step-by-step explanation:
Reflection is basically a mirror image. Since you can see that the first triangle is flipped over to get the second one, this is a reflection.
It is not a vertical translation; this means that the triangle shifted up or down.
It is not a horizontal translation, this means that the triangle shifted left or right.
It is not a rotation about point A either, this would have meant that the triangle spun around.
The radius of a circle is a=pi r^2.
so 360.9=3.14r^2, so that's around 114.94=r^2
r=10.72
(1) [6pts] Let R be the relation {(0, 1), (1, 1), (1, 2), (2, 0), (2, 2), (3, 0)} defined on the set {0, 1, 2, 3}. Find the foll
goldenfox [79]
Answer:
Following are the solution to the given points:
Step-by-step explanation:
In point 1:
The Reflexive closure:
Relationship R reflexive closure becomes achieved with both the addition(a,a) to R Therefore, (a,a) is 
Thus, the reflexive closure: 
In point 2:
The Symmetric closure:
R relation symmetrically closes by adding(b,a) to R for each (a,b) of R Therefore, here (b,a) is:
Thus, the Symmetrical closure:
