Answer:
3: 
4: 
Step-by-step explanation:
Question 3 can be re-written as:
which equals:
Question 4 can be re-written as:
Doing the first 2 brackets gives us:
Expanding these two:
Simplifying it:
For the right triangle to be given in name of three letters such as this, the right angle is most likely to be in the center, in this case letter K. To determine the common trigonometric properties of a certain angle we may use of the mnemonics SOH - CAH - TOA.
sin angle = opposite side / hypotenuse
cosine angle = adjacent side / hypotenuse
tangent angle = opposite side / adjacent side
If we let small letter j, k, and l be the sides opposite to angles J, K, and L, respectively. Then, the cos (L) will be,
cos (L) = j/k
That sounds like an extremely misleading question to me but it would be A since theres a 1/6 chance of getting a 2 on a die and there isnt a 1/2 in the answers so it is A
Answer:
about 37% chance or, rounding to the nearest tenth, 36.5% chance
Step-by-step explanation:
since there are only 6 black face cards out of 52 cards, so the fraction is 6/52
there are also 13 spade cards out of 52 cards, so the fraction is 13/52
to find the percent you have to add the two fractions becuase all you want to do is draw a black face card or a spade card. when you add them you get 19/52
then dividing the fraction gives you .3653846154 on my calculator :)
Answer:
2
Step-by-step explanation:
38 total students
5 like neither one, so 38 - 5 = 33
22 plus 13 is 35, but only 33 students like one of them, so 35 - 33 = 2 extra votes, which means 2 like both.
