Answer:
a) The length of segment AC is approximately 5.83 centimeters.
b) The angle ACD is approximately 34.5º.
Step-by-step explanation:
a) Since 
, the length of segment 
is determined by Pythagorean Theorem, that is:
The length of segment AC is approximately 5.831 centimeters.
b) Since 
, the length of segment 
is determined by this Pythagorean identity:
The angle ACD is determined by the following trigonometric expression:
The angle ACD is approximately 34.448º.
Rewrite the given equation as
.
Since
, you can conclude that the imimum value of y will be gained for the minimum value of
. The minimum value of
is 0 for x=2.
So, y(2)=0+4=4.
Answer: minimum value of y is 4, when x=2.
Answer:
ST, RS, TR
Step-by-step explanation:
(i entered it and it was right)
27 inches ......... 3/8
x inches .............8/8
<h3>x = (27×8/8)/(3/8) = 27×8/3 = 216/3 = 72 inches (father)</h3>
Answer:
Lets a,b be elements of G. since G/K is abelian, then there exists k ∈ K such that ab * k = ba (because the class of ab, ![[ab]_K](https://tex.z-dn.net/?f=%20%5Bab%5D_K%20)
is equal to ![[ba]_K](https://tex.z-dn.net/?f=%20%5Bba%5D_K%20)
, thus ab and ba are equal or you can obtain one from the other by multiplying by an element of K.
Since K is a subgroup of H, then k ∈ H. This means that you can obtain ba from ab by multiplying by an element of H, k. Thus, ![[ab]_H = [ba]_H](https://tex.z-dn.net/?f=%20%5Bab%5D_H%20%3D%20%5Bba%5D_H%20)
. Since a and b were generic elements of H, then H/G is abelian.
