
Considering the diagram.
is shown to be acute, so
.
Angles in a triangle add to 180°, so
.
Using the law of cosines,

Answer:
Necesitamos agregar 40 libras del café La Finca
Step-by-step explanation:
Sea x el número de libras de café de La Finca a mezclar.
Entonces, la cantidad total de libras que obtendremos en la mezcla será (x + 80) libras.
Ahora trabajemos con los precios; Tenemos x libras de La Finca a $ 5 por libra, con 80 libras de café a $ 2 por libra para dar una mezcla de (x + 80) a $ 3 Así, sumaremos el precio de La Finca más la otra variante para llegar al costo de la nueva mezcla.
Matemáticamente;
5 (x) + 2 (80) = 3 (x + 80)
5x + 160 = 3x + 240
5x -3x = 240-160
2x = 80
x = 80/2 x = 40
30 hours. Multiply $8.10 by 40 to get $324. Divide $324 by $10.80 to get 30 hours.
The answer to the question is 247. 10+237 is 247
Answer:
3x^2 -2x + 1 =3(x^2-2/3x+1/3)=3(x-1/3)^2+2/9*3= 3(x-1/3)^2+2/3
(x-1/3)^2 is greater or equal to zero
3(x-1/3)^2 is greater or equal to zero
and 2/3 is greater than zero
So there sum is greater than zero
Proved
Step-by-step explanation:
3x^2 -2x + 1 =3(x^2-2/3x+1/3)
Consider x^2-2/3x+1/3
Remember that (a-b)^2 =a^2-2ab+b^2
x^2=a^2
a=x
-2/3x= -2*x*b
b=1/3
S0 (x-1/3)^2= x^2-2/3x+1/9
x^2-2/3x+1/3= x^2-2/3x+1/9+1/3-1/9= (x-1/3)^2+2/9
3x^2 -2x + 1 =3(x^2-2/3x+1/3)=3(x-1/3)^2+2/9*3= 3(x-1/3)^2+2/3
(x-1/3)^2 is greater or equal to zero
3(x-1/3)^2 is greater or equal to zero
and 2/3 is greater than zero
So there sum is greater than zero
Proved