Answer:
Step-by-step explanation:
Answer:
x
=
π
6
+
n
2
π
,
7
π
6
+
n
2
π
, where n is an integer
Explanation:
Start with:
cot
x
−
√
3
=
0
cot
x
=
√
3
This means that:
cos
x
sin
x
=
√
3
1
So the adjacent is length
√
3
and the opposite is length 1. This set us up for the 30/60/90 triangle and the angle we're looking at is the
30
o
or
π
6
one.
So now the question is which quadrants are we looking at. Cotangent is positive in Q1 and Q3. The angles we're looking at, then, are
π
6
and
π
+
π
6
=
7
π
6
.
This question does not limit our answer to any particular domain, and so we need the general solution, which is:
x
=
π
6
+
n
2
π
,
7
π
6
+
n
2
π
, where n is an integer
13x+5=17x-19
13x-17x=-19-5
-4x=-24
4x=24
x=6
Answer:
Step-by-step explanation:
The manufacturing plant earned $80 per man-hour of labor when it opened
The plant earns an additional 5% for every additional man-hour t.
This can be modeled using the function:
where Initial Amount Earned, P=80
Rate of Increase, r=5%=0.05
Therefore, the function that models the amount earned at any time t is:
Brady needs three strips that each represent one fourth (1/4). He needs to line them up end to end. The new long strip he has created represents 3/4.
Next Brady needs seven strips that each represent one eighth (1/8). He needs to line them up end to end. The new long strip he has created represents 7/8.
If the two long strips he created were equal then 3/4 would equal 7/8 but as they are not equal this is not the case. Since the strip for 7/8 is longer, the fraction 7/8 is greater than 3/4.
Answer:
Take rabbit across
go back
Take fox across and go back across with rabbit
take carrots across and leave them with fox
go back and get rabbit
Step-by-step explanation: