Step-by-step explanation:
3. The triangle that makes up the square is a 45-90-45 triangle so x = 45°. Using Pythagorean theorem,
2y^2 = 12 ---> y^2 = 6
or
y = √6
4.This is an equilateral triangle of side 11 so
y = 11/2
To find x, use the definition of sine 60:
sin 60° = opp/hyp
= x/11
or
x = 11sin60° = (11√3)/2
=18 sqrt2+15 sqrt2=33 sqrt 2
So to answer you just have to substitute all the given choices into the formula and see which come out true.
2(1) - 3(-3) >_ 12
2 + 9 >_ 12
11 >_ 12
XNXOXPXEX
2(8) - 3(1) >_ 12
16 - 3 >_ 12
13 >_ 12
VYVEVSV
2(3) - 3(2) >_ 12
6 - 6 >_ 12
0 >_ 12
XNXOXPXEX
2(-2) - 3(-6) >_ 12
-4 + 18 >_ 12
14 >_ 12
VYVEVSV
2(2) - 3(3) >_ 12
4 - 9 >_ 12
-5 >_ 12
XNXOXPXEX
2(1) - 3(8) >_ 12
2 - 24 >_ 12
-22 >_ 12
XNXOXPXEX
2(-3) - 3(1) >_ 12
-6 - 3 >_ 12
-9 >_ 12
XNXOXPXEX
VYVEVSV = yes
XNXOXPXEX = nope
Answer:
I may not be correct, depending on what you were taught, but it would be...
17/30
Step-by-step explanation:
(2/5×6/6)+(1/6×5/5)
12/30 + 5/30
17/30
keep in mind you don't add the denominators at all ( the numbers at the bottom half of the fraction)
