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MrMuchimi
4 years ago
10

A) 7.7 ft b) 13.4 ft c) 10.3 ft d) 12.3 ft

Mathematics
1 answer:
ELEN [110]4 years ago
3 0

Answer:

D. 12.3 ft

Step-by-step explanation:

This problem requires the use of trigonometric ratios. This one specifically uses the cosine ratio as it provides the hypotenuse and is asking for the side that is adjacent to the angle.

cos(40°)=a/16

cos(40°)×16=a/16×16

cos(40°)×16=a

a=12.256 ft

The length of side a is D. 12.3 ft.

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El costo de producir 10 juegos de video al día es de 350 dólares , mientras que producir 30 juegos del mismo tipo al día cuestan
Dovator [93]

Answer:

El coste de producir un juego de vídeo es de 125 dólares.

Step-by-step explanation:

(This exercise is written in Spanish and is incomplete. Complete statement will be presented below)

El costo de producir 10 juegos de video al día es de 350 dólares , mientras que producir 30 juegos del mismo tipo al día cuestan 850 dólares . Si suponemos un modelo lineal como el descrito anteriormente , determine:

¿Cuál es el costo de producir un juego de vídeo?

(Explanation will be held in Spanish)

El modelo lineal es un polinomio de primer orden de la forma:

y = a\cdot x + b

Donde:

x - Variable independiente (eje x - Cantidad de juegos de vídeo producidos - Adimensional)

y - Variable dependiente (eje y - Coste de producción de juegos de vídeo - Dólares)

a - Pendiente de la función.

b - Intercepto en el eje y.

Dados los dos costes para dos cuotas distintas de producción, se construye el siguiente sistema de ecuaciones lineales:

10\cdot a + b = 350

30 \cdot a + b = 850

Se resuelve el sistema con algo de manipulación algebraica:

(30\cdot a + b) - (10\cdot a + b) = 850 - 350

20 \cdot a = 500

a = 25

Luego:

b = 850 - 30\cdot a

b = 100

La ecuación lineal es:

y = 25\cdot x +100

Finalmente, el coste de producir un juego de vídeo es:

y = 25 \cdot (1) + 100

y = 125

El coste de producir un juego de vídeo es de 125 dólares.

7 0
4 years ago
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