Answer:
2.5
Step-by-step explanation:
From the diagram, figure B was enlarged to obtain figure A.
The two figures are therefore similar.
The corresponding sides are in the same proportion. That constant value of the proportion is called scale factor.
It is given by:
Figure B is the image of A
Therefore the scale factor is 2.5
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:
(10,0)
Step-by-step explanation:
When it comes to rotations by 90 degrees or 270 degrees, you just have to switch the order of x- and y- coordinates. Then find the sign by considering which quadrant will it be. In this case, it is originally on the positive y-axis and now it would be +ve x-axis.
10 sticks bbbkbsv kbm jhd mb bd h
Answer:
$180
Step-by-step explanation:
Since the discount is 40 percent and is also $72, We will cross multiply. 72 x 100 = 40 x what?
7200/40 = 180
The mirror was originally $180.
