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spayn [35]
3 years ago
10

I really need help with this

Mathematics
1 answer:
slega [8]3 years ago
8 0
Check the picture below.

the radius, so-called because if we circumscribe the triangle in a circle, that'd be the radius of the circumcircle, is 3 inches, as you see there in the picture in red.

now, bear in mind that the triangle is an equilateral one, and therefore, 180/3 = 60, meaning all its interior angles are congruently 60°.

if we run the radius of the triangle, like there, it will cut one of those interior angles in half, namely the radius is an angle bisector, and if we run a perpendicular line to the bottom side, like the dashed one there, we end up with a 30-60-90 triangle, to which we can apply the 30-60-90 rule, as you see it there.

since we know what half of a side of the triangle is, as you see it there in blue, then we can use that and plug it in at

\bf \textit{area of an equilateral triangle}\\\\
A=\cfrac{s^2\sqrt{3}}{4}~~
\begin{cases}
s=length~of\\
\qquad a~side\\
-------\\
s=\stackrel{\frac{3\sqrt{3}}{2}+\frac{3\sqrt{3}}{2}}{3\sqrt{3}}
\end{cases}\implies A=\cfrac{(3\sqrt{3})^2\sqrt{3}}{4}
\\\\\\
A=\cfrac{(3^2\sqrt{3^2})\sqrt{3}}{4}\implies A=\cfrac{(9\cdot 3)\sqrt{3}}{4}\implies A=\cfrac{27\sqrt{3}}{4}

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rectangular solid that is 6-cm-by-6 cm-by-6 cm is painted on all six faces. then the solid is cut into cubes that measure 2 cm o
Nitella [24]
If you check the picture below

the rectangular solid is a 6x6x6, so all sides are equal thus is a cube

is painted on all faces, so the only part that's painted is the faces, ok
then you split it like in the picture, you have all 6 faces painted there,

now, let's say each of those 6 faces are cut in 2cm

how many of those 2cm pieces will each have?   so get that amount for each and sum them up, that's how many of the cubes have one face painted

only the cubes that are part of the face, which was painted, are the ones that have a painted face themselves

keep in mind that each face is a 6x6 rectangle
notice the 2nd picture below

6 0
3 years ago
Read 2 more answers
PLEASE ANSWER I NEED THIS ASAP
Rudik [331]
It would also be 42 because the triangle is divided in half.
5 0
3 years ago
Read 2 more answers
What is the frequency of the sinusoidal graph ?
disa [49]

Answer:

The frequency of the given sinusoidal graph is 4.

Step-by-step explanation:

The frequency of a sinusoidal graph is the number of cycles it completes in the interval 0 to 2π radians.

From the given sinusoidal graph it is noticed that the the graph complete its one cycle in the interval 0 to \frac{\pi}{2}.

If the complete its one cycle in \frac{\pi}{2}, then the number of cycles completed by the graph in the inteval 0 to 2π is

\frac{\pi}{2}\times frequency=2\pi

frequency=2\pi \times \frac{2}{\pi}

frequency=4

Therefore the frequency of the given sinusoidal graph is 4.

7 0
3 years ago
Philip is making a poster that is 36 by 24 inches. He cuts a 5 x 12 rectangle in the poster. How much of the poster remains uncu
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864 - 60= 804 part that remains
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What is the radius of a circle whose area is 36π cm^2<br><br> (to the second power)
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