Answer:
A choice
Step-by-step explanation:
sec is defined as 1/cos.
cos is again defined as adjacent to hypotenuse.
We know that adjacent is x and hypotenuse is r.
Therefore:- cos is x/r
Now sec is 1/cos = 1/(x/r)
1 ÷ x/r is 1•r/x
Thus:-
sec is r/x
Answer:
1/2.25 or 4/9
Step-by-step explanation:
(D) -3w2<span> - 9w - 4
I hope this helped :)
</span>
Even integers are in form 2n where n is a whole number
consecutive even integers are 2 apart
2n and 2n+2
2n is 10 more than 1/2 of (2n+2)
2n=10+1/2(2n+2)
2n=10+n+1
2n=11+n
minus n both sides
n=11
2n=22
2n+2=24
the numbers are 22 and 24
Answer: Choice C) {6, 9, 12}
=======================================================
Explanation:
Something like choice A can't form a triangle because the first two sides add to 6+9 = 15, which is <u>not</u> longer than the third side 15. We need to have x+y > z to be true. The same goes for choice B as well because 3+3 = 6 is too small compared to the third side 7. Choice D is similar to choice A.
In short, we can rule out choices A, B, and D.
The only thing left is choice C. Picking any two sides leads to having that sum be larger than the third side
- 6+9 = 15 which is larger than 12
- 9+15 = 24 which is larger than 6
- 6+15 = 21 which is larger than 9
So the conditions of the triangle inequality theorem work out here, and we have a triangle.
