Answer:
B
Step-by-step explanation:
Since the triangle is right use the sine/ tangent ratios to solve for x and y
note sin60° =
and tan60° = 
sin60° =
= 
ysin60° = 3
y ×
= 3
multiply both sides by 2 and divide by 
y v= 6
= 6
tan60° =
= 
xtan60° = 3
x ×
= 3
divide both sides by 
x = 3
= 3
Answer:
C) (x-2)(x+3)
Step-by-step explanation:
x^2+x-6=(x-2)(x+3)
Because (x-2)(x+3)=x^2-2x+3x-6=x^2+x-6.
Answer:
5/6
Step-by-step explanation:
9/18 + 1/3 <Need the same denominator so find the lowest common multiple.
3 6 9 12 15 18 < multiples of 3
if 3 goes into 18 than it will be our LCM
3 goes into 18 6 times so multiply 1 and 3 by 6 and rewrite the equation
9/18 + 6/18 < just add 9 + 6 and place it over 18
15/18 <this number can be simplified so write out their factors and pick the highest one to divide by one they have in common.
1 3 5 15 <Factors of 15
1 2 3 6 9 18 <Factors of 18
3 is the highest one they both have so divide both 15 and 18 by 3
15/3 is 5 and 18/3 is 6
put the 5 and 6 in their proper places and you have 5/6 or .83333333333...
Answer:
Option b) 
Step-by-step explanation:
We are given the following information in the question:
Total number of marbles = 65
Number of green marbles = 17
We have to find the probability of drawing 2 green marbles at random without replacement.
Formula:




Option b) 