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serg [7]
3 years ago
8

a pyramid has a regular hexagonal base with side length of 4 and a slant height of 6. what is the total area of the pyramid

Mathematics
1 answer:
Stels [109]3 years ago
8 0
So hmm notice the picture below

the pyramid itself, is really, just one regular hexagon, at the bottom
and 6 triangles, stacked up at each other at the edges

now, if you just get the area of the regular hexagon, and the 6 triangles, add them up, that'd be the total surface area of the pyramid then
\bf \textit{area of a regular polygon}\\\\
A=\cfrac{1}{4}\cdot  n\cdot  s^2\cdot  cot\left( \frac{180}{n} \right)\qquad 
\begin{cases}
n=\textit{number of sides}\\
s=\textit{length of a side}\\
\frac{180}{n}=\textit{angle in degrees}\\
----------\\
n=6\\
s=4
\end{cases}\\\\\\ A=\cfrac{1}{4}\cdot  6\cdot  4^2\cdot  cot\left( \frac{180}{6} \right)

now, for the triangles, well, area of a triangle is 1/2 bh, as you'd know, and you have both

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Am independent variable is a variable (often demoted by y) whose variation depends on that if another. True or false
Tamiku [17]

Answer:

true

Step-by-step explanation:   The two main variables in an experiment are the independent and dependent variable. An independent variable is the variable that is changed or controlled in a scientific experiment to test the effects on the dependent variable. A dependent variable is the variable being tested and measured in a scientific experiment.

Hopfully it helps :)

5 0
3 years ago
Read 2 more answers
A cup contains 3 blue paper clips,2 red paper clips,and 5 silver paper clips.what is the probability of not drawing a red paper
Elis [28]
Short Answer 0.8

Remark
The total number of possible draws is
3 Blue + 2 Red + 5 silver = 10
There are two ways of solving this, both of which will be used later on.

Method 1
If you don't draw a read paper clip, that means you will draw a silver or blue paper clip.
\frac{Silver + blue}{10} =  \frac{3 + 5}{10} =  \frac{8}{10} = \text{0.8}

Method Two
The other way is to draw a red one and take that probability away from 1. 
P(red) = \frac{2}{10} = \text{0.2}
1 - 0.2 = 0.8 Same answer.

4 0
3 years ago
Question 3
hoa [83]

answer is (-7,2)

y = -x -5

y= x+9

Both equations have y on the left hand side

So we equate both equations

We replace -x-5 for  y in the second equation

-x -5 = x+9

Subtract x on both sides

-2x -5 = 9

Now add 5 on both sides

-2x = 14

Divide by -2 from both sides

x = -7

Now plug in -7 for x in the first equation

y = -x -5

y = -(-7)  -5= 7-5 = 2

So answer is (-7,2)

4 0
3 years ago
Read 2 more answers
7≥12−g solve for inequality<br> Plzz help me Its from khan academy
Step2247 [10]

Answer:

g= 4 and g =5

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
How can I solve this?<br>Please use the simplest format​
IgorLugansk [536]

Answer:

option D is true.

Step-by-step explanation:

The right-angled triangle is shown.

From the right-angled triangle,

The angle Ф = 60°

We know that the trigonometric ratio

tan Ф = opposite / adjacent

  • opposite = 4
  • adjacent = n

Thus,

tan 60 = 4 / n

√3 = 4/n

n = 4/√3

Thus,

n = 4/√3

  = (4 × √3) / (√3 × √3)

  = 4√3 / 3

Thus,

n  = 4√3 / 3

Using Pythagorean theorem

m = √n²+4²

m=\sqrt{\left(4\cdot \frac{\sqrt{3}}{3}\right)^2+4^2}

m=\sqrt{\frac{4^2}{3}+4^2}

m=\sqrt{\frac{64}{3}}

m=\frac{8}{\sqrt{3}}

m=\frac{8\sqrt{3}}{3}

Thus,

  • m=\frac{8\sqrt{3}}{3}
  • n  = 4√3 / 3

Therefore, option D is true.

3 0
3 years ago
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