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maxonik [38]
3 years ago
7

Pls help asap important assessment

Mathematics
2 answers:
Iteru [2.4K]3 years ago
6 0
Answer : -6 (4x-213)
Nina [5.8K]3 years ago
3 0

Answer:

-6 (4x-213)

Step-by-step explanation:

I hope this helps!

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If we inscribe a circle such that it is touching all six corners of a regular hexagon of side 10 inches, what is the area of the
Brrunno [24]

Answer:

\left(100\pi - 150\sqrt{3}\right) square inches.

Step-by-step explanation:

<h3>Area of the Inscribed Hexagon</h3>

Refer to the first diagram attached. This inscribed regular hexagon can be split into six equilateral triangles. The length of each side of these triangle will be 10 inches (same as the length of each side of the regular hexagon.)

Refer to the second attachment for one of these equilateral triangles.

Let segment \sf CH be a height on side \sf AB. Since this triangle is equilateral, the size of each internal angle will be \sf 60^\circ. The length of segment

\displaystyle 10\, \sin\left(60^\circ\right) = 10 \times \frac{\sqrt{3}}{2} = 5\sqrt{3}.

The area (in square inches) of this equilateral triangle will be:

\begin{aligned}&\frac{1}{2} \times \text{Base} \times\text{Height} \\ &= \frac{1}{2} \times 10 \times 5\sqrt{3}= 25\sqrt{3} \end{aligned}.

Note that the inscribed hexagon in this question is made up of six equilateral triangles like this one. Therefore, the area (in square inches) of this hexagon will be:

\displaystyle 6 \times 25\sqrt{3} = 150\sqrt{3}.

<h3>Area of of the circle that is not covered</h3>

Refer to the first diagram. The length of each side of these equilateral triangles is the same as the radius of the circle. Since the length of one such side is 10 inches, the radius of this circle will also be 10 inches.

The area (in square inches) of a circle of radius 10 inches is:

\pi \times (\text{radius})^2 = \pi \times 10^2 = 100\pi.

The area (in square inches) of the circle that the hexagon did not cover would be:

\begin{aligned}&\text{Area of circle} - \text{Area of hexagon} \\ &= 100\pi - 150\sqrt{3}\end{aligned}.

3 0
3 years ago
Can someone help me this question please?
pashok25 [27]
Larger number is 32 because if u take 48 minus 16 u get your anwser
5 0
4 years ago
Read 2 more answers
Scientists believe that there is an extremely massive black hole at the center of the Milky Way. How many times more massive tha
xenn [34]
I got B 
Hope this helps :D
5 0
3 years ago
Eliza’s backpack weighs 18 7/9 pounds with her math book in it. Without her math book, her backpack weighs 14 ⅞ pounds. How much
UNO [17]

Make each fraction have a like denominator

7/9 *  8/8= 56/ 72

7/8 * 9/9 = 63/72

18 + 14 + (56+63)/72

32 + 119/72

32 + 1 + 47/72

33 and 47/72


3 0
4 years ago
Read 2 more answers
An electrician earns $110 after his first hour of working for a client. His total pay based on the number of hours worked can be
VLD [36.1K]
I don't like trying all of them so I will make up my own which will probably be in the answers 
so equation is
f(x)=pay
x=hours worked
solve so 
f(1)=110
f(2)=130
f(3)=150
f(4)=170

they seem to be increasing in 20 increments so therefor the pay is linked to hours times 20 so that measn that every hour he works, he gets 20 dollars
therefor the answer is f(n+1)=f(n)+20 since we know that 1 hour=$20 so n+1hour=n+$20

the answe ris f(n+1)=f(n)+20

5 0
4 years ago
Read 2 more answers
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