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natulia [17]
3 years ago
6

Who can prove that ? :D prove that lim x about 0 (sin(x)/x)=1 by using sandwich theorem

Mathematics
1 answer:
earnstyle [38]3 years ago
8 0
cos (x)  \leq \frac{sin (x)}{x}  \leq 1

Apply limit as x->0
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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
Stels [109]
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

8 0
3 years ago
A van can travel 18 miles on each gallon of gasoline. at that rate how many miles can the van travel on 15 gallons of gasoline
tensa zangetsu [6.8K]
18 / 1 = x / 15......18 miles to 1 gallon = x miles to 15 gallon
cross multiply
(1)(x) = (18)(15)
x = 270 miles
7 0
3 years ago
Read 2 more answers
Which situation involves descriptive statistics?
irinina [24]

Answer:

C

Step-by-step explanation:

Descriptive statistics describe an event that happens over time.  So bowler striking on 1/5 of his throws that night would be an example of descriptive statistics.

7 0
3 years ago
Read 2 more answers
The perimeter of rectangular is 54 inches Its length is two times its width
USPshnik [31]
The length would be 18 inches and the width would be 9 inches since the length is twice its width and to find perimeter you do length x 2 and width x 2 and add it together so 18x2 = 36 and 9x2 = 18. 36 + 18 = 54
3 0
3 years ago
How do I solve <br> 3n + 10 &lt;= 13 or 2n &gt;= 5n - 12
kirill [66]
N<1 or n<4
so the point could fall between 1 and 4 













4 0
3 years ago
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