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navik [9.2K]
4 years ago
11

Instructions:Select the correct answer. You’re given two side lengths of 10 centimeters and 8 centimeters. The angle between the

sides measures 40°. How many triangles can you construct using these measurements? 0 1 2 infinitely many
Mathematics
1 answer:
EleoNora [17]4 years ago
3 0

Since we are given the lengths of 2 sides with the angle in between, therefore by cosine law we can only construct 1 triangle from this. By stating the angle in between, this constricts the possible number of triangles that can be formed into 1.

By calculation, the length of the 3rd side is calculated using cosine law:

c^2  = a^2 + b^2 – 2abcosθ

c^2 = 10^2 + 8^2 – 2(10)(8)cos40

c = 6.44 cm


ANSWER:

1 triangle 

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Answer:

Socio 1 recibirá Q. 10,690, Socio 2 recibirá Q. 5,345, Socio 3 recibirá Q. 13,655, Socio 4 recibirá Q. 11,285 y Socio 5 recibirá Q. 14,255.

Step-by-step explanation:

Dado que en una sociedad participan 5 socios, colocando todos capitales iguales, lo único que el primer socio estuvo 1 año y medio, el segundo 9 meses, el tercero 5 meses mas que el primero, el cuarto 1 año 7 meses y el quinto 2 años, para determinar cuánto le toca a cada socio de una utilidad de Q. 55,230.00 se deben realizar los siguientes cálculos:

Socio 1 = 1.5 años

Socio 2 = 0.75 años

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Socio 4 = 1.583 años

Socio 5 = 2 años

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Socio 2 =

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0.75 x 100 / 7.75 = X

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Socio 3 =

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1.916 x 100 / 7.75 = X

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Socio 5 =

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55,230 x 0.2581 = 14,255

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Step-by-step explanation:

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