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DaniilM [7]
3 years ago
7

How many equal line segments are needed to make a line of 30 triangles

Mathematics
1 answer:
nevsk [136]3 years ago
6 0
It would be 90 triangles
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150

Step-by-step explanation:

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The total cost of a truck rental, y, for x days, can be modeled by y=24x+39. What is the rate of change for this function?
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The cosine law
romanna [79]
\bf \textit{Law of sines}
\\ \quad \\
\cfrac{sin(\measuredangle A)}{a}=\cfrac{sin(\measuredangle B)}{b}=\cfrac{sin(\measuredangle C)}{c}\\\\
-------------------------------\\\\

\bf \cfrac{sin(88^o)}{39.9}=\cfrac{sin(A)}{31}\implies \cfrac{31\cdot  sin(88^o)}{39.9}=sin(A)
\\\\\\
sin^{-1}\left[ \cfrac{31\cdot  sin(88^o)}{39.9} \right]=sin^{-1}\left[ sin(A) \right]
\\\\\\
sin^{-1}\left[ \cfrac{31\cdot  sin(88^o)}{39.9} \right]=\measuredangle A
\\\\\\
50.93841^o\approx \measuredangle A\qquad thus\qquad \measuredangle C\approx 41.0619^o
3 0
3 years ago
Angle ABC is inscribed in circle O. Points A, B, and C all lie on the circle, and B is the vertex of angle ABC. Angle ABC measur
viktelen [127]

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94 degrees

Step-by-step explanation:

Basically the question is asking to find the angle of the arc AC created by the inscribed angle ABC.

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Because the distance from the opposite side of the circle is twice longer  than coming from the center to create the same arc.

So, an inscribed angle of 47 degrees will create a 94 degrees arc on the circle circumference.

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