Answer: r = 2/3
Step-by-step explanation:
In a geometric sequence, the consecutive terms differ by a common ratio. The formula for determining the nth term of a geometric progression is expressed as
Tn = ar^(n - 1)
Where
a represents the first term of the sequence.
r represents the common ratio.
n represents the number of terms.
From the information given,
a = 36
The 4th term is 32/3
n = 4
Therefore,
T4 = 32/3 = 36 × r^(4 - 1)
32/3 = 36 × r^3
Dividing both sides if the equation by 36, it becomes
32/3 × 1/36 = r^3
8/27 = r^3
Taking cube root of both sides of the equation, it becomes
(8/27)^1/3 = r^3 × 1/3
r = 2/3
Answer:
The surface area of the second cylinder is equal to 
Step-by-step explanation:
we know that
If two figures are similar then
the ratio of their surfaces areas is equal to the scale factor squared
Let
z-------> the scale factor
x------> the surface area of the smaller cylinder (second cylinder)
y-------> the surface area of the original cylinder (first cylinder)
so
Step 1
Find the scale factor
Step 2
Find the surface area of the second cylinder
we have
substitute and solve for x
Answer:
1929r9fij1j2jed8f82u2hfisj
Step-by-step explanation:
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Answer:
D.
Step-by-step explanation:
The inequality graphed matches the graph on the answer choice D.
Hope this helps <3
Answer: 96,672 yards cubed
Step-by-step explanation: The formula for the Volume of a rectangar prism is Length×Width×Height
114yds × 212yds × 4yds = 96,672yds^3
Its already in simplest form since its all yards
But, you can also convert it into miles
In which 1 mile = 1760 yards
So you'd divide 96670 by 1760, and what ever answer youget would be the answer in miles
