We have to find the exact value of: arc cos ( sin ( π /6 ) ).
We know that:
sin ( π/6 ) = sin 30° = 1/2
Arc cos is the inverse function of cosine.
arc cos ( 1/2 ) = 60° = π/3
x = lbs
y = total cost
ABC shipping: $7 + $1x = y
XYZ shipping: $10 + $0.75x = y
We set each equation equal to the other.
$7 + $1x = $10 + $0.75x. Subtract $7 from both sides and subtract $0.75x from both sides
$0.25x = $3. Divide each side by $0.25.
x = 12 lbs
When a package is 12lbs the cost is the same.
Answer:
The explicit formula for Arithmetic Sequence is 
Step-by-step explanation:
Given: Foot length & shoe size in AP.
is foot length and n is shoe size.i.e., 
To find: Formula for Arithmetic sequence .i.e.,
From question,
Also, we know that
Now, consider
Thus using formula of we get,
Therefore, The explicit formula for Arithmetic Sequence is
Try this: Combine 6 and 9, obtaining 15.
Compare this sum, 15, to the length of the 3rd side: 15.
If placed end to end, the 2 sides with lengths 6 and 9 form a new line of length 15. We'd end up with this new line superimposed on the 3rd side (with length 15).
Think: Do 2 straight lines of length 15, superimposed on one another, form a triangle?
<span>multiply the first equation by 5 and 2nd by -7 and you get
35x-30y=-5
-35x+28y=-7
now you can cancel out the x's and you get
-2y=-12
so
y=6
now you can just plug y=6 into one of the original equations and you will see that x turns out to be 5
Hope thats okay</span>
