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3 years ago

Find the 12th term of the sequence:8, 14, 20, 26, ...

Mathematics

1 answer:

Zigmanuir [339]3 years ago

3 0

Answer: 74

Step-by-step explanation:

nth term= 6n+2 (work out the nth term)

6x12+2=74 (substitute 12 in (to find the 12th term))

12th term= 74

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Karina wants to fill the base so that it is 85% full. What is the volume of the base that she is filling? (Find 85% of the volum

Mazyrski [523]

Question:

Karina has recently begun kickboxing and purchased training equipment as modeled in the diagram below. The cylindrical base is 15 inches tall with a diameter of 22 inches.

Karina wants to fill the base so that it is 85% full. What is the volume of the base that she is filling? (Find 85% of the volume).

Answer:

$Section = 4847.3205\ in^3$

Step-by-step explanation:

Given

$h = 15in$ -- height

$d = 22in$ -- diameter

Required

85% of the volume

First, calculate the radius

$r = \frac{1}{2} * d$

$r = \frac{1}{2} * 22= 11in$

The volume (V) is then calculated using:

$V = \pi r^2h$

$V = 3.142* 11^2 * 15$

$V = 5702.73\ in^3$

85% of the volume is:

$Section = 85\% * V$

$Section = 85\% * 5702.73\ in^3$

$Section = 4847.3205\ in^3$

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2 years ago

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morpeh [17]

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Step-by-step explanation:

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Find the 12th term of the sequence:8, 14, 20, 26, ...​

Find the 12th term of the sequence:8, 14, 20, 26, ...