Answer:
a = 7
Step-by-step explanation:
This is a special trig triangles. Special trig triangles are identified by their angle measures and their sides have a unique relationship. This is a 30 - 60 - 90 triangle which has sides 1 - √3 - 2 or multiples of this. This means all 30 - 60 - 90 triangles have side lengths with the pattern 1 - √3 - 2. Here the triangle has a - 7√√3 - 14. The value of a is 7 since 7*√3 = 7√3 and 2*7 = 14.
The error is that the student measured the wrong side. Acute angles are less than 90 degrees. So it isn’t possible for the measure to be over 90. The correct measure is 49
Answer:
a type nut is 10 pounds
a different one is 14 pounds
Step-by-step explanation:
let a type of the nut be represented by t
Let a different one be represented by d
a type of nut cost $7 per pound
a different one cost $4.20 per pound
The cost of the mixture for 24 pounds = 5.37 * 24
= $128.88
t + d = 24 ........(1)
7t + 4.2d = 128.88 ..........(2)
From equation (1), t = 24 - d
Put t = 24 - d in equation 2
7(24 - d) + 4.2d = 128.88
168 - 7d + 4.2d = 128.88
168 - 2.8d = 128.88
-2.8d = 128.88 - 168
-2.8d = -39.12
d = -39.12 / -2.8
d= 13.97
d = 14 pounds
t = 24 - d
t = 24 - 14
t = 10 pounds
A type nut is 10 pounds. A different one is 14 pounds
Voy a responder en el mismo idioma en que está la pregunta.
1) Venta con ganancia
Precio de venta 60 soles.
Ganancia = 20% del costo => costo + 0,20 * costo = precio
=> costo (1 + 0,20) = precio = 60 soles
=> costo (1,20) = 60 soles => costo = 60 soles / 1,20 = 50 soles
2) Venta con pérdida del 20%
Pérdida = 20% del costo
=> costo - precio = 20% * costo => costo - 0,20*costo = precio
=> costo ( 1 - 0,20) = 60 soles => costo * 0,80 = 60 soles
=> costo = 60 soles / 0,80 = 75 soles
3) Costo total = 50 soles + 75 soles = 125 soles
4) Ganancia total = valor total de venta - costo total
Ganancia total = 2 * 60 soles + 125 soles = 120 soles - 125 soles = - 5 soles.
El signo negativo significa que al final se perdió 5 soles en la operación.
