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viktelen [127]
3 years ago
11

Wha is the area of this

Mathematics
1 answer:
Korvikt [17]3 years ago
6 0

Octagon, stop sign.

Eight isoscles triangles.   It looks like we're told the side is 9.9 and the height to the side (also called the apothem) is 12.

So each isosceles triangle has area  (1/2)(9.9)(12) and we have eight of them,

area = 8(1/2)(9.9)(12) = 475.2

Answer: 475.2

Usually we wouldn't be told 9.9 -- this is the baby version.  We know each of those isoscles triangles has unique angle 360/8=45 degrees, so the apothem and half the side of the octagon are a right triangle with acute angle 22.5 degrees.

The area of the right triangle with long leg 12, short leg x,

tan 22.5 = x/12 or

x = 12 tan 22.5

Twice that is what we're told is 9.9; let's check:

2x = 24 tan 22.5 = 9.941125496954282

The area of the little right triangle is

(1/2) 12 × 12 tan 22.5

and there are 16 of these

16 (1/2) 12 × 12 tan 22.5 ≈ 477.174

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2 years ago
Sum of two digit number is9.When we interchange the digits it is found that the resulting new number becomes twice the other num
ruslelena [56]

Answer:

4 and 5

Step-by-step explanation:

Let the numbers be x and y

If their sum is 9, hence;

x + y = 9 ....1

When reversed

10y+x = 2(10x+y)

10y+x = 20x + 2y

10y - 2y = 20x - x

8y = 19x

y = 10x/8 ...2

Substitute equation 2 into 1;

From 1;

x+y = 9

x +(10x/8) = 9

18x/8 = 9

18x = 72

x = 72/18

x = 4

Since x+y =9

y = 9-x

y =9-4

y = 5

Hence the numbers are 4 and 5

8 0
3 years ago
If u={1,2,3,4,5},A={2,4} and Beta {2,5,5}find n(AUB)​
slavikrds [6]

<em>u={1,2,3,4,5},A={2,4} and Beta {2,5,5}</em>

<em>now</em><em>,</em><em> </em><em>(AUB)</em><em>=</em><em>{</em><em>1</em><em>,</em><em>3</em><em>,</em><em>3</em><em>,</em><em>4</em><em>,</em><em>5</em><em>}</em>

<em>[</em><em>AUB</em><em> </em><em>is</em><em> </em><em>the</em><em> </em><em>set</em><em> </em><em>of</em><em> </em><em>all</em><em> </em><em>elements</em><em> </em><em>of</em><em> </em><em>set</em><em> </em><em>A</em><em> </em><em>and</em><em> </em><em>set</em><em> </em><em>B</em><em> </em><em>without </em><em>any</em><em> </em><em>repetition </em><em>]</em>

<em>n</em><em>(</em><em>AUB</em><em>)</em><em>=</em><em>5</em>

<em>n</em><em>(</em><em>AUB</em><em>)</em><em>is</em><em> </em><em>the</em><em> </em><em>total</em><em> </em><em>no</em><em> </em><em>of</em><em> </em><em>elements</em><em> </em><em>in</em><em> </em><em>set</em><em> </em><em>(</em><em>AUB</em><em>)</em>

7 0
3 years ago
Someone please tell me what this is, the question is what is the slope of this line ?
AnnyKZ [126]

Answer:2/3

Step-by-step explanation:

rise/run. y=2 x=3

7 0
2 years ago
Read 2 more answers
What is the surface area of this right rectangular prIsm?
uranmaximum [27]

Answer:

28

Step-by-step explanation:

To find the area of a rectangle we multiply two edges together.

since we are looking for the surface area we are actually going to be finding 6 different areas and adding them together (since there are 6 sides to a rectangle)

ok so sides 1 and 2, the edges on the left and right will be equal, and then the four sides in the middle are all going to be equal

2(1x2) + 4(3x2) = 4 + 24 = 28

8 0
2 years ago
Read 2 more answers
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