An angle measures 152° more than the measure of its supplementary angle. What is the measure of each angle?
2 answers:
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Answer:
- Total cost/Costo total:
- Slope/pendiente: change in total cost when we produce an additional unit /cambio en el costo total cuando se incrementa la produccion en una unidad.
- Total cost if 345 tables are made/costo total por elaborar 345 mesas:
.
Step-by-step explanation:
- Total cost/Costo total:
. Total amount of money spent when producing x amount of tables, equals a fixed amount that must be paid and an extra of $6 for every additional table produced./ Cantidad de dinero gastado cuando se produce una cantidad x de mesas, es equivalente a $524 de costos fijos mas $6 adicionales por cada mesa producida.
- Slope/pendiente: change in total cost when we produce an additional unit. It is the coefficient that is linkes the extra amount of money spent when producing an extra unit of x (tables). /Cambio en el costo total cuando se incrementa la produccion en una unidad. El el coeficiente que vincula el cambio en el costo total con el cambio en las cantidades producidas.
- Total cost if 345 tables are made/costo total por elaborar 345 mesas:
Assuming you mean f(t) = g(t) × h(t), notice that
f(t) = g(t) × h(t) = cos(t) sin(t) = 1/2 sin(2t)
Then the difference quotient of f is
Recall the angle sum identity for sine:
sin(x + y) = sin(x) cos(y) + cos(x) sin(y)
Then we can write the difference quotient as
or
(As a bonus, notice that as h approaches 0, we have (cos(2h) - 1)/(2h) → 0 and sin(2h)/(2h) → 1, so we recover the derivative of f(t) as cos(2t).)