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
Answer:
8√13 units
Step-by-step explanation:
We use the distance formula.
The distance formula states that the distance between two points (x, y) and (a, b) is equal to:
d = 
Here, x = 6, y = -1, a = -18, and b = 15. Plug these in:
d = 
d =
= 8√13
The answer is thus 8√13 units.
<em>~ an aesthetics lover</em>
Answer: 10,582.91
Step-by-step explanation: 2.7%*10=27% 8,333*127%= $10,582.91
Answer:

Step-by-step explanation:
The slope-intercept form of an equation of a line:

<em>m</em><em> - slope</em>
<em>b</em><em> - y-intercept → (0, b)</em>
The formula of a slope:

From the table we have an y-intercept (0, 9) → b = 9.
Take other point from the table (-6, -1).
Calculate the slope:

Finally:

25 percent of x is equal to $1631.24
.25*4 is equal to 100 percent
Substitute
1631.24*4=x
x=6524.96