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Goryan [66]
2 years ago
8

PLEASE HELP I DONT GET IT AT ALL. PLEASEEE I’d really appreciate it. I’ll mark brainliest.

Mathematics
1 answer:
weeeeeb [17]2 years ago
4 0

Answer:

3768

Step-by-step explanation:

The question is asking for the volume of the "cylinder" straw.

1cm = 10mm

30cm = 300mm

Volume of a cylinder = \pi r^2h

The radius is half of the diameter = 4/2 = 2

Radius squared is 4

Height is 300mm

1200mm * 3.14 = 3768

I am not very sure, since I am not that familiar with cylinders. Sorry if this is wrong.

Hope this helps :)

Have a great day!

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Step-by-step explanation:

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Find S9, the sum of the geometric series to the 9th term, in which a3=3.645 and a8=15
ArbitrLikvidat [17]

Answer:

The sum of the first nine terms of the sequence is 74.44.

Step-by-step explanation:

Geometric sequence concepts:

The nth term of a geometric sequence is given by the following equation.

a_{n+1} = ra_{n}

In which r is the common ratio.

This can be expanded for the nth term in the following way:

a_{n} = a_{1}r^{n-1}

In which a_{1} is the first term.

Or even:

a_{n} = a_{m}r^{n-m}

The sum of the first n terms of a geometric sequence is given by:

S_{n} = \frac{a_{1}(1 - r^{n})}{1 - r}

Finding the common ratio:

a_{3} = 3.645, a_{8} = 15

a_{n} = a_{m}r^{n-m}

a_{8} = a_{3}r^{8-3}

a_{3}r^{5} = a_{8}

3.645r^{5} = 15

r^{5} = \frac{15}{3.645}

r = \sqrt[5]{\frac{15}{3.645}}

r = 1.327

Finding the first term:

a_{3} = a_{1}r^{2}

a_{1} = \frac{a_{3}}{r^{2}}

a_{1} = \frac{3.645}{(1.327)^{2}}

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S_{9} = \frac{2.07*(1 - (1.327)^{9})}{1 - 1.327} = 74.44

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Respuesta:

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La masa de aceite que contiene la botella es así:

Masa de la botella cuando está llena - masa de la botella cuando está vacía

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