Which list of fractions is in order from smallest to largest? A.1/2, 1/6, 1/3, B. 1/6, 1/3, 1/2, C. 1/6, 1/2, 1/3 D. 1/3, 1/3, 1
aniked [119]
Answer:B 1/6,1/3,1/2
Step-by-step explanation:
1/6= 0.167, 1/3= 0.33, 1/2= 0.5
Answer:
a. Geometric
b. 20, 10 and 5
c. Tn = 20(0.5)^n-1
d. 0.00004 ft
Step-by-step explanation:
a. The sequence is geometric
The reason for this is that we will be multiplying each term by a particular value
If it was arithmetic, we would have been adding instead. But since it is geometric, we shall multiply terms by a particular number
b. 1st term is
20
second term
1/2 * 20 = 10
Third term
1/2 * 10 = 5
c. Explicit formula
Mathematically, that will be;
Tn = ar^n-1
Where r is 1/2 or 0.5
Tn = a(0.5)^n-1
where Tn is the present term and n is the present number of the term
d. 20th term
T20 = 20 * 0.5^19
T20 = 0.00004 ft
Answer:
The angle <SXN measures 108 degrees, and the angle <SXV measures 72 degrees.
Step-by-step explanation:
To determined the angles <SXN and <SXV, you need to first figure out what <SNX amounts to and then use the angle-sum property of the triangle NSX.
The following is true:
<SNX = 90 - <QNX (this is because <QNS is a right angle)
and
<QNX = <YNP = 56 (given)
so
<SNX = 90 - 56 = 34 degrees
Now, using the triangle-sum property:
<SXN = 180 - <SNX - <XSN = 180 - 34 - 38 = 108 degrees
Now that you have <SXN, to determine <SXV use the property that <SXV is supplementary angle to <SXN, hence
<SXV = 180 - <SXN = 180 - 108 = 72 degrees
All done!
Answer:
point C
Step-by-step explanation: