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Nesterboy [21]
3 years ago
9

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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You get a 5% commission. You base your monthly salary on $100000 in sales. What is your monthly salary.​
Natali [406]

Answer:

100/100'000*5 = 5000 + base commission of 100'000 = 105'000

Step-by-step explanation:

3 0
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:

the volume of sphere will be equal to that of the volume of cube as change in shape doesn't effect the volume.

using,

Volume of sphere = volume of cube.

= a^3

Step-by-step explanation:

5 0
2 years ago
The distance between the points (5,-2) and (-7,3)
olchik [2.2K]
It would be (all under a big square root) (-7-5)squared + (3+2) squared. This equals to about root 169
7 0
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
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