Answer:
the answer would be 1/64
Step-by-step explanation:
Step-by-step explanation:
(1 + cos θ + sin θ) / (1 + cos θ − sin θ)
Multiply by the reciprocal:
(1 + cos θ + sin θ) / (1 + cos θ − sin θ) × (1 + cos θ + sin θ) / (1 + cos θ + sin θ)
(1 + cos θ + sin θ)² / [ (1 + cos θ − sin θ) (1 + cos θ + sin θ) ]
(1 + cos θ + sin θ)² / [ (1 + cos θ)² − sin² θ) ]
Distribute and simplify:
(1 + cos θ + sin θ)² / (1 + 2 cos θ + cos² θ − sin² θ)
[ 1 + 2 (cos θ + sin θ) + (cos θ + sin θ)² ] / (1 + 2 cos θ + cos² θ − sin² θ)
(1 + 2 cos θ + 2 sin θ + cos² θ + 2 sin θ cos θ + sin² θ) / (1 + 2 cos θ + cos² θ − sin² θ)
Use Pythagorean identity:
(2 + 2 cos θ + 2 sin θ + 2 sin θ cos θ) / (sin² θ + cos² θ + 2 cos θ + cos² θ − sin² θ)
(2 + 2 cos θ + 2 sin θ + 2 sin θ cos θ) / (2 cos² θ + 2 cos θ)
(1 + cos θ + sin θ + sin θ cos θ) / (cos² θ + cos θ)
Factor:
(1 + cos θ + sin θ (1 + cos θ)) / (cos θ (1 + cos θ))
(1 + cos θ)(1 + sin θ) / (cos θ (1 + cos θ))
(1 + sin θ) / cos θ
Answer: 
Step-by-step explanation:
<h3>
The complete exercise is: " A circle has a radius of 6. An arc in this circle has a central angle of 330 degrees. What is the arc length?"</h3><h3>
</h3>
To solve this exercise you need to use the following formula to find the Arc lenght:

Where "C" is the central angle of the arc (in degrees) and "r" is the radius.
In this case, after analize the information given in the exercise, you can identify that the radius and the central angle in degrees, are:

Therefore, knowing these values, you can substitute them into the formula:

And finally,you must evaluate in order to find the Arc lenght.
You get that this is:

Answer:
Teens who use online shopping sometimes = 6
total number of people who use online shopping sometimes = 20
total percentage of teens using online shopping sometimes = 6/20*100 => 30%
hope it helps
have a nice day
Part 1:-
- cost to park of a day is= $25+$43+$61+$79 =$208
- and the hourly rate to a paddle boat =208÷24=$8.6 per hour
______________________
<h3>What will Lin pay if she rents a paddleboat for 3.5 hours and splits the total cost with a friend? Completethe explanation.</h3>
The total cost to rent the boat will be
<u>3.5</u> hours x $<u> </u><u>12</u> per hour + $ <u>5</u> =$<u>47</u>
<u>i</u><u>f</u><u> </u><u>she </u><u>spilt </u><u>cost </u><u>with </u><u>a </u><u>friend</u><u> </u><u>,</u><u>they </u><u>will </u><u>each </u><u>pay$</u><u>4</u><u>7</u><u> </u><u>÷</u><u> </u><u>2</u><u>=</u><u> </u><u>$</u><u> </u><u>2</u><u>3</u><u>.</u><u>5</u>