1 answer:
Answer:
Step-by-step explanation:
15) point D=(3,1)
for AB we can see that there is an exact triangle of 2 and 5
so AD = =
and 2(AD) = AB
AB = 2* ( this is an exact answer, leave it with the square root)
16) find CD length we know the points at each end so use the distance formula P1=(-3,4) P2=(3,1)
Dist. =
Dist. = =
= 3
( exact answer leave the square root )
CD = 3
17) 1/3 of the way along CD from D towards C is where the centroid is.. I just happen to know that from doing this too often. :/
so that mean *
is the distance from D to the centroid or
also b/c I happen to know.. :/ c = =
off the top of my head I can see that the point (1,2) is our centroid for this object.. they made it really easy ... okay.. relatively easy. .:D
Centroid = (1,2)
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Answer: cos(Θ) = (√15) / 4
Explanation:
The question states:
1) sin(Θ) = 1/4
2) 0 < Θ < π / 2
3) find cos(Θ)
This is how you solve it.
1) Use the fundamental identity (in this part I use α instead of Θ, just for facility of wirting the symbols, but they mean the same for the case).
2) From which you can find:
3) Replace sin(α) with 1/4
=>
=>
4) Given that the angle is in the first quadrant, you know that cosine is positive and the final answer is:
cos(Θ) =
.
And that is the answer.
Explanation:
The question states:
1) sin(Θ) = 1/4
2) 0 < Θ < π / 2
3) find cos(Θ)
This is how you solve it.
1) Use the fundamental identity (in this part I use α instead of Θ, just for facility of wirting the symbols, but they mean the same for the case).
2) From which you can find:
3) Replace sin(α) with 1/4
=>
=>
4) Given that the angle is in the first quadrant, you know that cosine is positive and the final answer is:
cos(Θ) =
And that is the answer.