Cot(3x)=3^(1/2)
cot(x)= cos(x)/sin(x)
cot(3x)= cos(3x)/sin(3x)
look at a unit circle chart
find a value for cos that has sqrt(3) in it
which one will reduce so that the cos/sin will equal sqrt(3)?
pi/6 radians
now cot(3x) implies that x is one third this value
pi/18 is the answer
Answer:
x is less than or equal to 64/-3
<h3>
Answer: B) real number</h3>
Explanation:
Something like 3.5 = 7/2 is a rational number because its a fraction of two integers.
While on the other hand, the constant pi = 3.14159... is irrational because we cannot write pi as a fraction of two integers. We can get approximations like 22/7, but not a perfect exact match.
Both types of numbers, rational and irrational, are under the umbrella of the real number system. Any real number is a string of decimal digits. Sometimes it might be a whole number, but fractional values can be included as well. The decimal number may terminate, or it may repeat, or it may go on forever without a pattern.
In short, any number you can think of is a real number assuming your teacher hasn't covered complex numbers (or imaginary numbers) just yet.
<u><em>Answer:</em></u>
Option 3
<u><em>Explanation:</em></u>
<u>To get the value of the cheapest bike, best option, we will calculate the total cost of each bike:</u>
<u>i- Option 1:</u>
Total cost = $88
<u>ii- Option 2:</u>
$5 down payment and $8 per week for 10 weeks
Total cost = 5 + 8(10) = 5 + 80 = $85
<u>iii- Option 3:</u>
$12 down payment and $5 per month for 12 months
Total cost = 12 + 5(12) = 12 + 60 = $72
<u>iv- Option 4:</u>
$20 down payment and $20 per month for 12 months
Total cost = 20 + 20(12) = 20 + 240 = $260
<u>Now, from the above calculations, we can conclude that:</u>
The best price would be that of option 3 ($72). It is the lowest price compared to other option.
Hope this helps :)
Sin means to divide the opposite side measure by the hypotenuse. Cos is equal to the adjacent side value divided by the hypotenuse. Tan is equal to the opposite value divided by the adjacent. To remember this, I use the abbreviation SOHCAHTOA. SOH for Sin is Opposite over Hypotenuse, and so on.
