Answer:
Step-by-step explanation:
Given :
We have to write which identity we will use to prove the given statement.
Consider
Take left hand side of given expression
We know
Comparing , we get, a= 180° and b = q
Substitute , we get,
Also, we know and
Substitute, we get,
Simplify , we get,
Hence, use difference identity to prove the given result.
Answer:
The current is 5.64 Ampere when resistance is 768 ohms .
Step-by-step explanation:
As given
The current (I) in an electrical conductor varies inversely as the resistance (R) of the conductor.
Thus
Where k is the constant of proportionality .
The current is 6 amperes when the resistance is 722 ohms.
I = 6 amperes
R = 722 ohms
Put all the values in the formula
k = 6 × 722
k = 4332
As given
when the resistance is 768 ohms .
R = 768 ohms
K = 4332
Put in the formula .
I = 5.64 Ampere
Therefore the current is 5.64 Ampere when resistance is 768 ohms .
Answer:
AD/AB = AB/AC
Step-by-step explanation:
If we take two triangules in that figure: ABC and ABD, both are triangles rectangles. We need to use the definition of cosine, with the angle in th A corner, we called ∅.
For the ABC triangle: cos(∅) = adjacent cathetus/hypotenuse = AD/AB
For the ABD triangle: cos(∅) = adjacent cathetus/hypotenuse = AB/AC
Then:
cos(∅) = AD/AB = AB/AC
Answer:
The average was 259.24 in 1996.
Step-by-step explanation:
In order to find the year that the average, "y", is 259.24 we need to apply this value on the given expression, as done below:
The average was 259.24 after 26 years, therefore it was in 1996.