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lesya692 [45]
3 years ago
8

Find the area of the regular polygon... Uh how?

Mathematics
2 answers:
balandron [24]3 years ago
8 0

Answer:

Answer is Area= 166.08^2

Hexagon has 6 sides

Lets focus on 1 and say the height is 8 as they look like equilateral triangles.

We cna work out shaded areas of 1/2 a triangle later to find height.

Base 1 = 8 / 2   = 4

Step-by-step explanation:

The altitude, divides the equilateral triangle into two 30^-60^-90^30∘−60∘−90∘ right triangles and divides the bottom side in half.  

In a 30∘−60∘−90∘ right triangle, the sides of the triangle equal x, x3–√, and 2x. In these equations x equals the length of the smallest side, which in our triangle is s2 or 3–√2  = 3/2

Therefore h = x square of 3

therefore x = square 3 / 2

therefore h = square 3/ 2  x  square 3/1 = 3/2

Therefore Height = 3/2 = 3.46

To find area we 1/2 base  x height

= 4 x 3.46 = 13.84 for one shaded half triangle.

12 shaded from 6 = 13.84 x 12=166.08^2

ycow [4]3 years ago
7 0

Answer:

16sqrt(3) units²

Step-by-step explanation:

This shape consists of 6 congruent triangles

Each angle = (6-2)×180/6 = 120

These are 6 equilateral triangles

6(½ × 8 × 8 × sin(60)) = 16sqrt(3) units²

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Anastaziya [24]

Answer:

Birthdays are a special time of year.

4 0
2 years ago
Please help with these
kherson [118]

The answers are as follows.

a. 9x

In order to get this, you need to reevaluate 64 as a base of 4. Since 64 is equal to 4^3, we can rewrite the right side as

64^3x = (4^3)^3x = 4^9x

Which gives you the first answer.

b. 10

Similar to the first problem, we need to express 16 as a base of 2. 2^4 is equal to 16, so we use that in it's place and simplify.

16^5/2 = (2^4)^5/2 = 2^20/2 = 2^10

c. Sqrt(7.31)

This one is more simple. Raising something to a 1/2 power (.5) is the same as taking the square root.

4 0
3 years ago
Can somebody help me
wel

Answer:

I believe the second one is d

5 0
3 years ago
Julie works in chicago and has to pay $14 per day on tolls and $76 a day for gas. If she makes $19 an hour how many hours must s
enot [183]

Answer:

19 hours.

Step-by-step explanation:

T = -14 -76 + 19h

The -14 is the cost for tolls, and the -76 is the cost for gas. The 19h is the amount she'll get per hour if she makes $19/hour. And T is the total profit

We want to solve for h if T = 260

260 = -14 -76 + 19h

+14      +14

274 = -76 +19h

+76    +76

350 = 19h

/19      /19

18.42 = h

She must work 19 hours.

Hope this helps!

5 0
3 years ago
Describe the dimensions of two different prisms that each have a volume of 2,400 cubic centimeters
MArishka [77]
That it is 4,6090 because when u divide that ,400 by 2,400 u will get 4,000
8 0
3 years ago
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