(a) 
since 13 is prime.
(b) 
, and there are 81/3 = 27 multiples of 3 between 1 and 81, which leaves 81 - 27 = 54 numbers between 1 and 81 that are coprime to 81, so 
.
(c) 
; there are 50 multiples of 2, and 20 multiples of 5, between 1 and 100; 10 of these are counted twice (the multiples of 2*5=10), so a total of 50 + 20 - 10 = 60 distinct numbers not coprime to 100, leaving us with 
.
(d) 
; there are 51 multiples of 2, 34 multiples of 3, and 6 multiples of 17, between 1 and 102. Among these, we double-count 17 multiples of 2*3=6, 3 multiples of 2*17=34, and 2 multiples of 3*17=51; we also triple-count 1 number, 2*3*17=102. There are then 51 + 34 + 6 - (17 + 3 + 2) + 1 = 70 numbers between 1 and 102 that are not coprime to 102, and so 
.
Answer:
3
Step-by-step explanation:
The correct answer is:
3
Explanation
review
△WXY~△GEF.
6
3
6
Y
X
W
2
1
2
F
E
G
What is the similarity ratio of △WXY to △GEF?
Simplify your answer and write it as a proper fraction, improper fraction, or whole number.
If two triangles are similar, their similarity ratio is the ratio between a side length in the first triangle and the corresponding side length in the second triangle.
solve
Look at the triangles.
6
3
6
Y
X
W
2
1
2
F
E
G
The similarity ratio of △WXY to △GEF is the ratio between a side length in △WXY and the corresponding side length in △GEF. So, the similarity ratio is
WX
EG
=
3
1
=3.
Answer:
a2
Step-by-step explanation:
you're using the pythagorean theorem
If your question is asking for the height of the 3D figure when the volume is 18 cubic in. and its dimensions are 4 in., and 1/2 in., the height is 9 inches.
Answer:
Step-by-step explanation:
−4−8+j
=−4+−8+j
Combine Like Terms:
=−4+−8+j
=(j)+(−4+−8)
=j+−12
Answer:
=j−12
