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.
Answer: x=10 7/8
Step-by-step explanation:
Subtract 3/4 from both sides. Multiply both sides by 3. Divide both sides by 2 (basically just isolate x on one side of the equal sign).
Answer:
$20 x 122% = $24.40
or look at it this way:
$20 x 1.22 = $24.40
Step-by-step explanation:
Answer:
A.
Step-by-step explanation:
Recall: SOHCAHTOA
Reference angle = θ
Side Adjacent to θ = 8
Hypotenuse = 15
Therefore, we would apply CAH since we know the hypotenuse and the adjacent length.
Thus:
Cos θ = Adj/Hyp = 8/15
Cos θ = 0.5333
θ = Cos^{-1}(0.5333)
θ = 57.7713051°
θ = 57.8° (to nearest tenth)
Answer:
i think it is A sorry if I am worng
