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3 years ago

8. The logo for a company is a regular hexagon inscribed inside a circle. The logo will

Mathematics

1 answer:

fgiga [73]3 years ago

5 0

Divide the hexagon into 6 equal streak triangles which would have side length equal to the radius of the circle.

the area of an equal lateral triangle = sqrt(3)/4 x radius^2

the area of the hexagon would be 6 x sqrt(3)/4 x radius^2

Area = 6 x sqrt(3)/4 x 8^2 = 166.2768 square feet

rounded to the nearest whole foot = 166 square feet.

You might be interested in

3/4 + -3/8 + -1/4=?<br> Evaluate the expression

Ann [662]

Answer: -1/8

Step-by-step explanation:

3/4 + -3/8 + -1/4

Find the LCM of 4, 8, and 4

That's 8 so you make an equivalent fraction for all fractions so the denominator is 8.

3/4 = 6/8

-3/8 = -3/8

-1/4 = -4/8

Now the expression looks like this:

6/8 + - 3/8 + -4/8

6/8 - 3/8 - 4/8

6/8 - 7/8

-1/8

Hope that helped!

8 0

3 years ago

Kevin says it will take him less than 1 hour to do homework and play soccer is he correct? Explain.

babunello [35]

Answer:

I don't know how I would know but if he takes 30 minutes or less on each individual activity then he is correct, if he exceeds those limits, he is incorrect.

Step-by-step explanation:

3 0

3 years ago

Shirley is decorating the gym for a party. She has 5 rolls of blue streamer and 8 rolls of green streamer. If each roll of blue

never [62]

Answer: 1145 feets

Step-by-step explanation:

The total feet of streamer that Shirley have to decorate with will be the addition of the total roll of blue streamer plus the total roll of green streamer. This will be:

= 5(93) + 8(85)

= 465 feet + 680 feet

= 1145 feets of streamer.

is 93 feet long and each roll of

4 0

3 years ago

Lori has 60% of the book to read. If she has read 120 pages how many pages does she still have to read

maks197457 [2]

Ok, so 120 pages plus the 60% of the book she has left to read will give the total number of pages.

That means that 120 pages is 40% of the book.

Make a proportion

120/40% = x/60%

72 = .4 x

x = 180 pages

5 0

3 years ago

Read 2 more answers

Solve the equation on the interval [0,2π]

WARRIOR [948]

$\bf 16sin^5(x)+2sin(x)=12sin^3(x)
\\\\\\
16sin^5(x)+2sin(x)-12sin^3(x)=0
\\\\\\
\stackrel{common~factor}{2sin(x)}[8sin^4(x)+1-6sin^2(x)]=0\\\\
-------------------------------\\\\
2sin(x)=0\implies sin(x)=0\implies \measuredangle x=sin^{-1}(0)\implies \measuredangle x=
\begin{cases}
0\\
\pi \\
2\pi 
\end{cases}\\\\
-------------------------------$

$\bf 8sin^4(x)+1-6sin^2(x)=0\implies 8sin^4(x)-6sin^2(x)+1=0$

now, this is a quadratic equation, but the roots do not come out as integers, however it does have them, the discriminant, b² - 4ac, is positive, so it has 2 roots, so we'll plug it in the quadratic formula,

$\bf 8sin^4(x)-6sin^2(x)+1=0\implies 8[~[sin(x)]^2~]^2-6[sin(x)]^2+1=0
\\\\\\
~~~~~~~~~~~~\textit{quadratic formula}
\\\\
\begin{array}{lcccl}
& 8 sin^4& -6 sin^2(x)& +1\\
&\uparrow &\uparrow &\uparrow \\
&a&b&c
\end{array} 
\qquad \qquad 
sin(x)= \cfrac{ - b \pm \sqrt { b^2 -4 a c}}{2 a}
\\\\\\
sin(x)=\cfrac{-(-6)\pm\sqrt{(-6)^2-4(8)(1)}}{2(8)}\implies sin(x)=\cfrac{6\pm\sqrt{4}}{16}
\\\\\\
sin(x)=\cfrac{6\pm 2}{16}\implies sin(x)=
\begin{cases}
\frac{1}{2}\\\\
\frac{1}{4}
\end{cases}$

$\bf \measuredangle x=
\begin{cases}
sin^{-1}\left( \frac{1}{2} \right)
sin^{-1}\left( \frac{1}{4} \right)
\end{cases}\implies \measuredangle x=
\begin{cases}
\frac{\pi }{6}~,~\frac{5\pi }{6}\\
----------\\
\approx~0.252680~radians\\
\qquad or\\
\approx~14.47751~de grees\\
----------\\
\pi -0.252680\\
\approx 2.88891~radians\\
\qquad or\\
180-14.47751\\
\approx 165.52249~de grees
\end{cases}$

3 0

3 years ago