The cotangent function is defined as the ratio between cosine and sine of a given angle, i.e.
Since you can't have zero at the denominator, the cotangent function is not defined when the sine is zero.
Let's look at your option:
, so the cotangent is defined here
, so the cotangent is not defined here
, so the cotangent is defined here
, so the cotangent is defined here
Unlike the previous problem, this one requires application of the Law of Cosines. You want to find angle Q when you know the lengths of all 3 sides of the triangle.
Law of Cosines: a^2 = b^2 + c^2 - 2bc cos A
Applying that here:
40^2 = 32^2 + 64^2 - 2(32)(64)cos Q
Do the math. Solve for cos Q, and then find Q in degrees and Q in radians.
The family would buy the three pairs of shoes for $26.31 because you have to divide $52.62 in half since they bought half the amount of pairs of shoes that are given in the sale.
Answer:
She swam a total distance of 2 1/4 miles in those three days.
Step-by-step explanation:
Okay, so- The first thing you need to do is make all denominators equal to make these fractions able to be added together. So, I made all denominators 12. (Tell me if you don't know how to make them all the same denominator, and I'll be happy to help!)
<u>2/3 = 8/12 </u>
<u>3/4 = 9/12 </u>
<u>5/6 = 10/12</u>
Then, I added the numerators together. Like this:
<u>8 + 9 + 10 = 27 </u>
So, this would be:
<u>27/12</u>
Lastly, I changed this improper fraction to a mixed number. I multiplied the denominator twice because it looked like it would be closest to 27 without going over.
<u>12 * 2 = 24 </u>
<em>The "2" will be the whole number in the mixed fraction.</em> Now, I'm going to subtract 24 from the numerator.
<u>27 - 24 = 3 </u>
<u>2 3/12</u>
After simplified, the fraction will be:
2 1/4
<h3>Hope this helps! Let me know if you need help with something else or if you have questions about this problem !</h3>
Answer: B, 120
Step-by-step explanation:
look at x-value 8 and find y-value
