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blsea [12.9K]
2 years ago
5

Will V − E + F always equal 2?

Mathematics
1 answer:
SVEN [57.7K]2 years ago
7 0

The expression V − E + F is an illustration of the Euler's formula.

The expression V − E + F is always 2

<h3>How to determine the true statement?</h3>

The equation is given as:

V - E + F = 2

Where:

  • V represents the vertices
  • E represents the edges
  • F represents the faces

According to the Euler's formula, the relationship between V, E and F is:

V + F = 2 + E

Subtract E from both sides

V - E + F = 2

Hence, the expression V − E + F is always 2

Read more about Euler's formula at:

brainly.com/question/12274716

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How many distinct triangles can be formed for which m∠A = 75°, a = 2, and b = 3?
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Can someone help me with this ​
Nataly_w [17]

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  b, e

Step-by-step explanation:

a, b) ordinarily, we claim the variable on the vertical axis is a function of the variable on the horizontal axis. By that claim, <em>temperature is a function of time</em>.

If the graph passed the horizontal line test (a horizontal line intersects in one place), then we could also say time is a function of temperature. The graph does not pass that test, so we cannot make that claim.

c) The graph has negative slope between 4:00 and 5:00. Temperature is decreasing in that interval, not increasing.

d) The graph has two intervals in which it is horizontal: 5:00-9:00 and 11:00-12:00. In those intervals it is neither increasing nor decreasing.

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sergey [27]

Hello from MrBillDoesMath!

Answer:

sin(A) =   k/c

sin(C) =   k/a

Discussion:

By definition of sine ,

sin(A) = side opposite angle / hypotenuse  =  k/c

sin(C) = side opposite angle/ hypotenuse =  k/a

Added remark:

From the first equation, k = c sin(A). From the second equation k = asin(C). Hence.

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sin(C)/ c = sin(A)/a          

Which is the law of sines for a triangle.

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MrB

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