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:
The circumference of the circle is <u>C-72.22 </u><u>units</u>
Step by step explanation-
Given-
- Diameter of circle (d) = 23 units
- π = 3.14
Now,
<h3>
</h3>
Answer:
A) x + y = 8
B) 3x + 2y = 21
We multiply A) by -2
A) -2x -2y = -16 Then we add this to
B) 3x + 2y = 21
x = 5
y = 3
Second answer is correct
Step-by-step explanation:
Step-by-step explanation:
Since B is the midpoint of AC. So,
AB = BC
12x - 12 = 4x + 28
12x - 4x = 28 + 12
8x = 40
x = 40/8
x = 5
Now,
AB = BC = 4(5) + 28
= 20 + 28
= 48 cm
Now
AC = AB + BC
AC = 48 + 48
AC = 96 cm
Answer:
17.8
Step-by-step explanation:
We can find this because we know that to make a cube, we need to do 
or 
. With this, we can simplify our equation (by taking the root of both sides) to ![c=\sqrt[3]{5639.752}](https://tex.z-dn.net/?f=c%3D%5Csqrt%5B3%5D%7B5639.752%7D)
or 17.8.
