The length of Ab & Df with work shown

Mathematics

1 answer:

Free_Kalibri [48]3 years ago

4 0

It’s to blurry I can’t see

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I REALLY NEED HELP FOR THIS ONE

Natasha2012 [34]

Answer:

Step-by-step explanation:

Area of shaded region it is area of hexagon minus area of circle.

A regular hexagon is comprised of six equilateral triangles (of the same sides).

So its area: $A_1=6\cdot\dfrac{S^2\sqrt3}{4}=\dfrac{3S^2\sqrt3}2$ {S = side of the triangle}

Height (H) of such a triangle is equal to radius (R) of a circle inscribed in the hexagon:

$R = H = \dfrac{S\sqrt3}{2}$

Area of shaded region:

$A=A_1-A_\circ=\dfrac{3S^2\sqrt3}2-\pi R^2=\dfrac{6S^2\sqrt3}4-\pi\left(\dfrac{S\sqrt3}2\right)^2=\dfrac{S^2(6\sqrt3-3\pi)}4$

S = 6 cm

so:

$A=\dfrac{6^2(6\sqrt3-3\pi)}4=\dfrac{36(6\sqrt3-3\pi)}4=9(6\sqrt3-3\pi)=27(2\sqrt3-\pi)\ cm^2\\\\A=27(2\sqrt3-\pi)\ cm^2\approx8.71\ cm^2$

3 0

3 years ago

Maximum for n=100x 40y

Greeley [361]

Assuming that here are the choices :
(0,0)
(5,0)
(0,8)
(2,6)

In a question like this, you just need to input the x and the y to the equation and find out which have the greatest n.

From the following above , the answer would be : (5,0)

Hope this helps

6 0

3 years ago

Simplify -40/7+8-23/7

Oduvanchick [21]

Answer:

-1

Step-by-step explanation:

-40/7+8-23/7

= -40/7+8-23/7

= 16/7-23/7

= -1