Answer:
Step-by-step explanation:
In a right-angled triangle, by definition:
sinX = opposite side / hypothesis
= 5/13
tanX = opposity side / adjacent side
= 5/12
cosX = adjacent side / hypothesis
= 12/13
Answer:
k=3
Step-by-step explanation:
Since we know for a fact, thanks to it being given in your question, that the triangles are similar, that means the lengths are proportionate.
Secondly, you should notice a trend between both shapes. ΔPQRs sides are half of ΔDEFs.
With that in mind, we can conclude that for side K, it's half of 6, so 3! :D
Answer: 
===========================================================
Explanation:
We start with y = 1/x
Vertically stretching it by a factor of 4 gets us to y = 4/x. Simply multiply the right hand side by 4.
Then reflecting over the y axis means we replace every x with -x to get y = 4/(-x) but that simplifies to y = -4/x. So we can see that any y axis reflection is identical to an x axis reflection, and vice versa. This is due to the symmetry of hyperbolas like this.
Next, we replace x with (x+5) so that we shift the xy axis 5 units to the right, giving the illusion the curve shifts 5 units to the left.
Lastly, we tack on a +4 to shift the graph up 4 units.
The final result is 
Answer:
-12.5°C
Step-by-step explanation:
To solve this problem you would multiply -2.5 by 5.
-2.5 * 5 = -12.5
Today's low temperature is -12.5°C.