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:
0.166
Step-by-step explanation:
We know that,
1 week = 7 days
i.e.
6 week = 7(6) days = 42 days
We need to express ratio 7 days to 6 weeks as a decimal fraction. So,
Answer:
2159.74
Step-by-step explanation:
you times 456 by 4 then you times that answer by the 1742%
1.) Find the area of the circle:
• Formula: A=pi•r^2
- To find the area of a circle, we need to have the radius, and since the diameter is 2x the length of the radius, the radius is 1/2 of the diameter.
Finding the radius: r=d/2
r=12/2
r = 6.
- Now that we know that r=6, we can substitute it into the formula:
• A=pi•r^2
A=pi•(6)^2
A=113.097
- The area of the circle is 113.097ft.^2. We know that a square foot is $10.50. So, we have 113.097 square feet at $10.50/sq. foot. This means that we will add $10.50 113.097 times. Therefore:
113.097 • 10.50 = 1,187.518
So, total, it will cost $1,187.518
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Answer:
11.7647059 % gain
Step-by-step explanation:
To find the gain, take the new amount and subtract the original amount
9500-8500 = 1000
Divide by the original amount
1000/8500=.117647059
Multiply by 100% to get in percent form
11.7647059 % gain
