Answer:
Rational, Rational, Rational, Irrational, Irrational
Step-by-step explanation:
The first question:
This number is rational
Second:
This number is rational. It wouldn't be rational if the digits won't repeat.
Third:
This number is rational
Fourth:
This is irrational. The digits of pi do not repeat, making it irrational.
Fifth:
Irrational. The square root of a non-perfect square is irrational.
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-Chetan K
The law of cosines :
A^2 = B^2 + C^2 - 2BC cos A
2^2 = 3^2 + 4^2 - 2 . 3. 4 cos theta
= 21
hope this helps
Answer:
qp is congruent to hg
Step-by-step explanation:
since the given is AAS it has to be angle angle side, you have the angles, r is congruent to i and q is congruent to h, so you need the next sides to be congruent
If a = first term and r = common ratio we have
a + ar + ar^2 = 13 and ar^2 / a = r^2 = 9
so r = 3
and a + 3a + 9a = 13
so a = 1
so they are 1,3 and 9
2.
in geometric series we have
4 , 4r ,4r^2 , 60
Arithmetic;
4, 4r , 4r + d , 4r + 2d
so we have the system of equations
4r + 2d = 60
4r^2 = 4r + d
From first equation
2r + d = 30
so d = 30 - 2r
Substitute for d in second equation:-
4r^2 - 4r - (30-2r) = 0
4r^2 - 2r - 30 =0
2r^2 - r - 15 = 0
(r - 3)(2r + 5) = 0
r = 3 or -2.5
r must be positive so its = 3
and d = 30 - 2(3) = 24
and the numbers are 4*3 = 12 , 4*3^2 = 36
first 3 are 4 , 12 and 36 ( in geometric)
and last 3 are 12, 36 and 60 ( in arithmetic)
The 2 numbers we ause are 12 and 36.
