See the attached picture with letters to better understand the problem
we know that
the figure is a regular hexagon
A regular hexagon has:
<span>Interior Angles of <span>120°
</span></span>so
in the triangle ABC
BC=2 units
∠ABC=30°
∠BAC=60°
tan 30°=AC/BC
solve for AC
AC=BC*tan 30°-------> AC=2*(√3)/3
<span>Apothem is equal to AC
</span>Apothem=(2/3)√3
the answer is(2/3)√3
5 students used 1/8 each
5 · 1/8 = 5/8
Subtract 5/8 from 2 3/4 to get your answer
First, make it the same denominator: 8
2 3/4 = 2 6/8
2 6/8 - 5/8 = 2 1/8
There is about 2 yarn left. Exact amount left: 2 1/8
Hope this helps :)
Sin³ x-sin x=cos ² x
we know that:
sin²x + cos²x=1 ⇒cos²x=1-sin²x
Therefore:
sin³x-sin x=1-sin²x
sin³x+sin²x-sin x-1=0
sin³x=z
z³+z²-z-1=0
we divide by Ruffini method:
1 1 -1 -1
1 1 2 1 z=1
-------------------------------------
1 2 1 0
-1 -1 -1 z=-1
--------------------------------------
1 1 0 z=-1
Therefore; the solutions are z=-1 and z=1
The solutions are:
if z=-1, then
sin x=-1 ⇒x= arcsin -1=π+2kπ (180º+360ºK) K∈Z
if z=1, then
sin x=1 ⇒ x=arcsin 1=π/2 + 2kπ (90º+360ºK) k∈Z
π/2 + 2kπ U π+2Kπ=π/2+kπ k∈Z ≈(90º+180ºK)
Answer: π/2 + Kπ or 90º+180ºK K∈Z
Z=...-3,-2,-1,0,1,2,3,4....
Geometry helps us in deciding what materials to use, what design to make and also plays a vital role in the construction process itself. Different houses and buildings are built in different geometric shapes to give a new look as well as to provide proper ventilation inside the house.
Hope that helped :)
Answer:
4
Step-by-step explanation:
