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:
15
Step-by-step explanation:
It would be $187.50 because if you set up a proportion -----2000/75 =5000/x
The proportion shows 5000 times 75
(375000)then divide 375000 by 2000
Simplifying the numerator becomes (x-1)(x+3)/(x-4).
The denominator becomes (2x-1)(x+3)/[(x-4)(x+4)].
Simplifying it becomes (x-1)(x+4)/(2x-1), making it (x^2+3x-4)/(2x-1), or answer choice A.