Answer: c)
Step-by-step explanation:
This can be done through trial-and-error. Use the pythagoreas' theorem and if the left side of the equation is equal to the right, that is the answer.
(Do take note that c is the longest side.)
a)
Since , a) is wrong.
b)
Since , b) is wrong.
c) (answer)
Since , c) is correct.
d)
Since , d) is wrong.
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
(5^1/5 b^1/5 c^1/5 d^1/5)(5^4/5 b^4/5 c^4/5 d^4/5)
5^1/5= 1 5^4/5= 125
(b^1/5 c^1/5 d^1/5)(125b^4/5 c^4/5 d^4/5)
125b^5c^5d^5
simplified: 125(bcd)^5
(1/6) times (2/6) = 2/36 = 1/18
There is a 1/18 chance.
Answer:
n = 9.
Step-by-step explanation:
There are 9 0's after the 3 so it's
3 x 10^9.