You didn't provide more information regarding triangle but from given options, it seems that triangle has ratio from shortest side to longest side would be 5 : 12 : 13
So 13 would be hypotenuse since it is longest.
Now A cannot be right angle because tangent is not defined at 90°.
Also tan(A) would be ratio of opponent side to adjacent side (think SOH CAH TOA)
So either opposite side would be 5 or 12, and adjacent side would be 12 or 5 respectively.
So the answer is either 5 / 12 or 12 / 5 but only option provided is 12/5 so that would be your answer.
Final answer: 12 / 5
It means not to get too invested in details or to become so invested in something that you can’t focus on anything else.
Answer:
8 inches
Step-by-step explanation:
Let w represent the width.
If the length is 14 inches longer than the width, it can be represented by w + 14.
Use the perimeter formula, p = 2l + 2w. Plug in 60 as the perimeter and w + 14 as l, then solve for w:
p = 2l + 2w
60 = 2(w + 14) + 2w
60 = 2w + 28 + 2w
60 = 4w + 28
32 = 4w
8 = w
So, the width is 8 inches
Since these events are independent, you add the possibilities
the number of cards less than 9 is 32
the number of spades is 13
there are 52 cards in a deck, so you put those numbers over 52
32/52 + 13/52 = 45/52
the answer is 45/52
