Answer:
Step-by-step explanation:
Numerator
sin
x
cos
y
+
cos
x
sin
y
−
[
sin
x
cos
y
−
cos
x
sin
y
)
=
sin
x
cos
y
+
cos
x
sin
y
−
sin
x
cos
y
+
cos
x
sin
y
=
2
cos
x
sin
y
Denominator
cos
x
cos
y
−
sin
x
sin
y
+
cos
x
cos
y
+
sin
x
sin
y
=
cos
x
cos
y
−
sin
x
sin
y
+
cos
x
cos
y
+
sin
x
sin
y
=
2
cos
x
cos
y
---------------------------------------------------------------
left side can now be expressed as
2
cos
x
sin
y
2
cos
x
cos
y
=
2
cos
x
sin
y
2
cos
x
cos
y
=
sin
y
cos
y
and
sin
y
cos
y
=
tan
y
=
right side hence proved
Answer:
210,000
Step-by-step explanation:
20,000 * 6% = 1,200
20,000 + 1,200 = 21,000
21,000 * 10 = 210,000
Therefore your answer is 210,000
Answer:
21 cent per card
Step-by-step explanation:
5.25 / 25 = .21
because 25 can be divided into the first 2 numbers
125 cups in 120 minutes (because 1000 oz/8 = 125 cups and 2 hrs is 120 minutes)
now reduce the fraction by dividing the numerator and denominator by 5 = (optional)
So 24n = 25 Divide both sides by 24
n= 1 1/24 cups per minute