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Mrac [35]
3 years ago
14

In spherical geometry, all points are points on the surface of a sphere. A line is a circle on the sphere whose diameter is equa

l to the diameter of the sphere. A plane is the surface of the sphere. In spherical geometry, is it possible that two triangles are similar but not congruent? Explain your reasoning.
Mathematics
1 answer:
mamaluj [8]3 years ago
8 0

Answer: It is not possible that two triangles that are similar and not congruent in spherical geometry.

Step-by-step explanation:

For instance, taking a circle on the sphere whose diameter is equal to the diameter of the sphere and inside is an equilateral triangle, because the sphere is perfect, if we draw a circle (longitudinal or latitudinal lines) to form a circle encompassing an equally shaped triangle at different points of the sphere will definately yield equal size.

in other words, triangles formed in a sphere must be congruent and also similar meaning having the same shape and must definately have the same size.

Therefore, it is not possible for two triangles in a sphere that are similar but not congruent.

Two triangles in sphere that are similar must be congruent.

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A particular group of men have heights with a mean of 174 cm and a standard deviation of 6 cm. Earl had a height of 192 cm. a. W
Sati [7]

Answer:

a) 18 cm

b) 18

c) 3

The Earl's height is unusual because the  z score does not lies in the given range of usual i.e -2 and 2

Step-by-step explanation:

Given:

Mean height, μ = 174 cm

Standard deviation = 6 cm

height of Earl, x = 192 cm

a) The positive difference between Earl height and the mean = x - μ

= 192 - 174 = 18 cm

b) standard deviations is 18

c) Now,

the z score is calculated as:

z=\frac{x-\mu}{\sigma}

or

z=\frac{192-174}{6}

or

z = 3

The Earl's height is unusual because the  z score does not lies in the given range of usual i.e -2 and 2

5 0
3 years ago
The short side of a triangle is always opposite the
Goryan [66]
That would be B
- smallest  angle
7 0
2 years ago
Which of the following is the graph of (g - f)(x)​
Reika [66]

Answer:

Step-by-step explanation:

the first one

7 0
3 years ago
A loaded grocery cart is rolling across a parking lot in a strong wind. You apply a constant force F⃗ =( 35 N )i^−( 37 N )j^ to
Trava [24]

Answer:

-189.8 J

Step-by-step explanation:

We are given that f

Force applied=F=35 Ni-37 Nj

Displacement, s=(-8.7m)i-(3.1m)j

We have to find the work done .

We know that

Work done=F\cdot s

Using the formula

Work done=(35i-37j)\cdot (-8.7-3.1)

Work done=-304.5+114.7

Using i\cdot i=j\cdot j=k\cdot k=1,i\cdot j=j\cdot i=j\cdot k=k\cdot j=i\cdot k=k\cdot i=0

Work done=-189.8J

Hence, the work done =-189.8 J

5 0
2 years ago
Plz help I’m in algebra 2
chubhunter [2.5K]

Could you take another photo with you zoomed a lil bit more so I can answer it?

4 0
3 years ago
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