Answer:
a)D= 0.625 Decimal that describes the portion of the workday he has finished
b)P= D*100= 0.625*100=62.5%
P: percentaje
D: Decimal
Step-by-step explanation:
Nomenclature
F: fraction of daily workday
D: decimal of daily workday
P: percentage of daily workday
Formulas
F= a/b
D= a÷b
P= D*100
Problem development
We have:
F = 5/8, then:
D= 5÷8= 0.625
To obtain the percentage of the workday that Matew has completed, we multiply the decimal x 100
P= 0.625*100=62.5%
Answer:
The American population was 20% of the British population.
Step-by-step explanation:
Let us call
the american population,
the British population before the migration, and
the population that migrated from America to Britannia.
Now, the population
that migrated was 20% of the american population:
,
and the same population
increase the British population by 4%:

Combining equation (1) and (2) we get:



Thus, the American population was 20% of the British population.
Answer:
Step-by-step explanation:
x>10
x(then the weird E looking sign, then) (10,infinity)
Answer:
5, -9
Step-by-step explanation:
(x - 5)(x + 9) = 0 These are factors, to get the roots, just set each one equal to zero
x - 5 = 0
x = 5
x + 9 = 0
x = -9
For this case we have the following trigonometric relationship:
sine (x) = C.O / h
Where,
x: angle
C.O: opposite leg
h: hypotenuse
Substituting values:
sine (C) = 9/41
Answer:
the value of the trigonometric ratio is:
sine (C) = 9/41