Answer:
a7 ≈ 1.068
Step-by-step explanation:
The given sequence has a common ratio, so is a geometric sequence. The formula for a generic term can be used to find the 7th term.
<h3>Sequence</h3>
The first term is 6. The common ratio is ...
r = (9/2)/6 = (27/8)/(9/2) = 3/4
The n-th term is ...
an = a1(r^(n-1))
<h3>Application</h3>
The 7th term is ...
a7 = 6(3/4)^(7-1) = 6(729/4096) = 2187/2048
a7 ≈ 1.068
Answer:
# of laps < 28, the number of laps will be less than 28.
1 lap = 4 minutes
28 laps = 112 minutes
Because we want less than 28 laps,
27 laps = 108 minutes
She can run any amount of laps less than 28.
Hey there :)
Let us translate the words into mathematics!
The difference of 2 numbers is 3
x - y = 3
The sum of 2 numbers is 13
x + y = 13
(eq. 1) x - y = 3
(eq.2) x + y = 13
eq. 1 + eq.2 ⇒ x - y = 3
+ x + y = 13 ( -y and +y cancels out )
2x = 16

x = 8
We have the value of x, simply substitute it in either of the formulae to find y
x - y = 3 , 8 - y = 3 , 8 - 3 = y , 5 = y
x + y = 13 , 13 - 8 = y , 5 = y
x = 8 , y = 5
Since they are similar both dimensions would have the same ratio. The ratio of 5 and 15 is 3. 15 is 3 times larger than 5, so the unknown dimension is 3 times larger than the known dimension.
3 x 10 = 30
The unknown dimension is 30
Answer:
A scale copy of a figure is a figure that is geometrically similar to the original figure.
Step-by-step explanation:
Hope this makes sense.