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3 years ago

Find the surface area of the pyramid shown to

Mathematics

1 answer:

Butoxors [25]3 years ago

8 0

Answer:

914 m^2 to the nearest whole number.

Step-by-step explanation:

The area of the hexagonal base is made up of 6 congruent triangles so its area = 6 * 1/2 base * height

= 6 * 1/2 * 12 * 6√3

= 216√3 m^2.

The area of each slanting triangle = 6 * 15 m^2 so the lateral area of the pyramid

= 6*6*15 = 540 m^2

Total surface area = 540 + 216√3

= 914.12 m^2.

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Answer:

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Step-by-step explanation:

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3 years ago

a sphere of radius 5 cm is melted down and made into a solid cube. Find the length of a side of the cube.

Amanda [17]

Answer:

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2 years ago

The distance between the points (5,-2) and (-7,3)

olchik [2.2K]

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3 years ago

Please simplify n-2/n^2-4

Doss [256]

Answer:

$\frac{1}{ {n} + {2}}$

Step-by-step explanation:

$\frac{n - 2}{ {n}^{2} - 4} \\ \\ = \frac{n - 2}{ {n}^{2} - {2}^{2} } \\ \\ = \frac{n - 2}{ ({n} + {2})({n} - {2})} \\ \\ = \frac{1}{ {n} + {2}} \\$

8 0

3 years ago

Find the common ratio and an explicit form in each of the following geometric sequences.

Margaret [11]

Answer:

The explicit form is $a_{n}=162(2/3)^{n-1}$

Step-by-step explanation:

The explicit form of a geometric sequence is given by:

$a_{n}=ar^{n-1}$

where an is the nth term, a is the first term of the sequence and r is the common ratio.

In this case:

a=162

The value of the common ratio is obtained by dividing one term by the previous term.

For the first and second terms:

108/162=2/3

For the second and third terms (In order to prove that 2/3 is the common ratio)

72/108=2/3

Therefore:

r=2/3

Replacing a and r in the formula:

$a_{n}=162(2/3)^{n-1}$

7 0

2 years ago