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AlladinOne [14]
9 months ago
8

sume of angles of a triangel greater than 180 degrees when teh triange is so large that it extends to cosmological scales

Mathematics
1 answer:
Vesna [10]9 months ago
5 0

In hyperbolic geometry, the angle sum of a triangle is always less than 180 degrees.

A lune is a wedge of a sphere with angle θ, represented by L(θ) in the proof.

α, β, and γ are the three angles of the triangle.

4πr²+4area[αβγ]=2L(α)+2L(β)+2L(γ)

2(2πr²+2area[αβγ])=2(L(α)+L(β)+L(γ))

2πr²+2area[αβγ]=L(α)+L(β)+L(γ)

At this point, we need to use a theorem that states that a lune whose corner angle is θ radians has an area of 2θr².

2πr²+2area[αβγ]=2αr²+2βr²+2γr²

2πr²+2area[αβγ]=2r²(α+β+γ)

π+area[αβγ]r²=α+β+γ

At this point, it is clear that the sum of the angles is equal to π plus the area[αβγ]r² (which cannot be zero).

To learn more about triangles and geometry,

brainly.com/question/2773823

#SPJ4

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Geometry, god bless ur help!
Furkat [3]

Answer:

15 CM

Step-by-step explanation:

Both sides are same length proven by the same angles making botrh sides 15 cm

7 0
3 years ago
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A line with a slope of - 8 passes through the points ( - 1, z) and ( - 2, 7). What is the value of z?
ikadub [295]

Answer:

z = -1

Step-by-step explanation:

7 - z / -2 - (-1)

7 - z / -2+1

7 - z / -1

-7 +z = -8

z = -1

to check the work

(-1,-1) (-2,7)

7 + 1 / -2 + 1

8 / -1

= -8

4 0
3 years ago
Write an algebraic expression that Marshall can use to determine the total cost of buying a watermelon that weighs w pounds and
VMariaS [17]

Answer:

The answer is that the cost will be a total of: $142.05. That is $125.80 for Watermelon that weighs 185 lbs and $16.25 for 5 lbs of tomatoes.

Step-by-step explanation:

Given: Watermelons are .68 / lb and tomatoes are 3.25 / lb.

Let w = watermelon weight and tomato weight.

An equation would be:

.68w + 3.25t = Total cost

For 185 lb of Watermelon and 5 lbs of tomatoes:

.68(185) + 3.25(5) =

$125.80 + $16.25 = $142.05

3 0
3 years ago
What is the scientific notation for 222,000,000 ?
Leya [2.2K]
Rules for SN = must be a number from 1 and less than 10 times a power of 10

So our number becomes

2.22 x 10⁸  - It takes a move of 8 places to the right to make the number 222,000,000 
6 0
3 years ago
Use the graphs of f(x) = 2
Ipatiy [6.2K]

Answer:

A

Step-by-step explanation:

The solution to f(x) = g(x) occurs where the two graphs cross.  That's at the point (-2, -1).

Answer A.

7 0
3 years ago
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