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3 years ago

A slice is made parallel to the base of a square pyramid.

Mathematics

2 answers:

strojnjashka [21]3 years ago

5 0

The shape resulted is a square

TiliK225 [7]3 years ago

3 0

Answer:

You get a square, I just took the test and got it right.

Step-by-step explanation:

with a square pyramid the base would be square so by cutting parallel of the shape you basically are left with the shape of the base.

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Find the exact value of sin2 theta given sin theta =5/13, 90°<theta <180°

Zepler [3.9K]

Now, we know that 90°< θ <180°, that simply means the angle θ is in the II quadrant, where sine is positive and cosine is negative.

$\bf sin(\theta )=\cfrac{\stackrel{opposite}{5}}{\stackrel{hypotenuse}{13}}\impliedby \textit{now let's find the \underline{adjacent side}}
\\\\\\
\textit{using the pythagorean theorem}\\\\
c^2=a^2+b^2\implies \pm\sqrt{c^2-b^2}=a\qquad 
\begin{cases}
c=hypotenuse\\
a=adjacent\\
b=opposite\\
\end{cases}$

$\bf \pm\sqrt{13^2-5^2}=a\implies \pm\sqrt{144}=a\implies \pm 12 =a \implies \stackrel{II~quadrant}{-12=a}
\\\\\\
therefore \qquad cos(\theta )=\cfrac{\stackrel{adjacent}{-12}}{\stackrel{hypotenuse}{13}}
\\\\
-------------------------------\\\\
sin(2\theta )\implies 2sin(\theta )cos(\theta )\implies 2\left(\frac{5}{13} \right)\left( \frac{-12}{13} \right)\implies -\cfrac{120}{169}$

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3 years ago

There are 6 ants on a log. Then 7 ants crawl onto the log. How many ants are on the log now?

kow [346]

Easy it is 13 because 7 + 6=13

7 0

2 years ago

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−5x−9y=3 plus 5x−9y=-2

Murrr4er [49]

Answer:

-18y=1

Step-by-step explanation:

Sorry if this is wrong, I was just guessing...

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2 years ago

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xeze [42]

Answer:

Step-by-step explanation:

This is a binomial distribution

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