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AlladinOne [14]
1 year 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]1 year 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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The graph below illustrates the linear function of how the total amount that a landscaper charges for a job changes depending on
liberstina [14]

First, given graph is very inaccurate. I suppose that you made net with pen.

a) The slope is the angle ( tan∡) between your graph and x axis.

The slope represent the level of the earnings growth.

b) According to the given graph y-intercept= 30$

Y-intercept represent starting amount of money.

c) If we accept that y=70 is connected with x=2 and y=30 with x=0

The  slope is S= (70-30)/2= 40/2=20

Linear equation for this function is

y= 20x+30

d) When we replace y=300$ in the equation we get

20x+30=300 => 20x=300-30 => 20x=270 => x=270/20=13.5h

x=13.5h

Good luck!!!



4 0
3 years ago
Does 15/21 and 40/56 form a proportion
Anettt [7]

Answer:

No, 15/21 and 40/56 do not form a proportion.

Step-by-step explanation:

6 0
3 years ago
I NEED HELP WITH THIS ASAP
grin007 [14]
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3 0
2 years ago
The area of a square quilt is 289 square inches. There is a smaller square patch on the quilt with an area of 121 square inches.
alisha [4.7K]
Area of a square quilt = 289 square inches
Area of a smaller square quilt = 121 square inches

Area of a square = a²

Side length of big square quilt = √289 in² = 17 inches
side length of small square quilt = √121 in² = 11 inches

Perimeter of big square = 17 inches * 4 = 68 inches
perimeter of small square = 11 inches * 4 = 44 inches

difference = 68 inches - 44 inches = 24 inches.
3 0
3 years ago
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Graph the equation.<br> y = 1/3 (x + 3)(x – 3)
kolbaska11 [484]

Answer:

Step-by-step explanation:

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