<u>Question 1</u>
If we let 
, then 
.
Also, as 
bisects 
, this means 
.
Thus, by the intersecting chords theorem,
However, as distance must be positive, we only consider the positive case, meaning FE=9
<u>Question 2</u>
If we let CE=x, then because AB bisects CD, CE=ED=x.
We also know that since FB=17, the radius of the circle is 17. So, this means that the diameter is 34, and as AE=2, thus means EB=32.
By the intersecting chords theorem,
However, as distance must be positive, we only consider the positive case, meaning CE=8
Answer:
is an even function.
Step-by-step explanation:
Recall when it means when a function is even or odd. An even function has the following property:
And an odd function has the following property:
So, let's test some values for cos(x).
Let's use π/3:
From the unit circle, was can see that this is 1/2 (refer to the x-coordinate).
Now, let's find -π/3. This is the same as 5π/3. Thus:
And again from the unit circle, we can see that this is 1/2.
Therefore, despite the negative, the function outputs the same value.
Cosine is an even function.
Notes:
Cosine is an even function and sine is an odd function. It's helpful to remember these as they can help you solve some trig problems!
Answer:
35/100
Step-by-step explanation:
You have 12% of horses (10÷84=0.1190 and 0.1190 = 12%)
You have 54% of sheep (54÷84=0.535 and 0.535=54%)
Subtract the amount of Sheep and Horses for the total amount of animals
84-(10+54)
You have 35% of cows (29÷84=0.345 and 0.345=35%)
35% to a fraction is 35/100 (simplified version 7/20)
I hope this helps (:
Answer:
<h2>$5.625 (per hour)</h2>
Step-by-step explanation:
45÷8 = 5.625
1) 5.1
2)7.9
3) 4
4)20
5)8.9
6) 4.2
7)5.2
8)15
I'am somewhat confident that some are right because iam not sure your suppose to round the nearst tenth
