If a dozen eggs cost $1.35,what is the unit cost?
2 answers:
Answer:
The cost of an egg is $0.11
Step-by-step explanation:
Given : The cost of one dozen of eggs is $ 1.35
We have to find the cost of one egg.
We know, one dozen has 12 units
Thus, One dozen of eggs contain 12 eggs
So cost of 12 eggs is $ 1.35
So to find the cost of one egg divide the cost by 12.
We get,
1 egg =
Thus, The cost of an egg is $0.11
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Answer:
m = 10 , n = 5
Step-by-step explanation:
using the cosine and tangent ratio in the right triangle and the exact values
cos45° = and tan45° = 1 , then
cos45° = =
=
( cross- multiply )
m = 5 ×
= 5 × 2 = 10
-----------------------------------------
tan45° = =
= 1 , then
n = 5
Answer:
and
Step-by-step explanation:
Let's first isolate the trig function.
Add 1 one on both sides:
Divide both sides by :
Now recall .
or
The first ratio I have can be found using in the first rotation of the unit circle.
The second ratio I have can be found using you can see this is on the same line as the
so you could write
as
.
So this means the following:
is true when
where is integer.
Integers are the set containing {..,-3,-2,-1,0,1,2,3,...}.
So now we have a linear equation to solve:
Add on both sides:
Find common denominator between the first two terms on the right.
That is 24.
(So this is for all the solutions.)
Now I just notice that it said find all the solutions in the interval .
So if and we let
, then solving for
gives us:
( I just added
on both sides.)
So recall .
Then .
Subtract on both sides:
Simplify:
So we want to find solutions to:
with the condition:
That's just at and
So now adding to both gives us the solutions to:
in the interval:
.
The solutions we are looking for are:
and
Let's simplifying:
and
and
and
Answer:
2 radical 13
Step-by-step explanation:
