Answer:

Step-by-step explanation:
Use a cofunction identity on the right hand side or left hand side...
So
.
We have the equation:

Make the above replacement:

Since cotangent has period 180 degrees, we can also write this as:

So solving the following will give us a set of solutions for
:

Add
on both sides:

Subtract 10 on both sides:

Divide both sides by 2:

Symmetric property:

Answer: 9483
Step by step
= 4(52)(45)+32)−5
= 4(2340+32)−5
= (4)(2372)−5
= 9488–5
= 9483
Answer:
$1.6
Step-by-step explanation:
The price of $2.32 already includes the 45% mark up hence taking the original cost to be x, it means the cost of $2.32 is 145% of the original cost
Using the concept of cross multiplication we say that if
1.45 is equivalent to $2.32
1 is equivalent to x

Therefore, the company incurs $1.6 for each plug
Answer:
19
Step-by-step explanation:
6 times 2 = the years between the youngest and oldest. 6 times 2 =12. 7+12=19
25 will go into 33 once, with a remainder of eight.