Step-by-step explanation:
tan x = 3/4
Tangent is opposite over adjacent, so draw a right triangle with angle x where the opposite side is 3 and the adjacent side is 4.
Use Pythagorean theorem to find the hypotenuse:
c² = 3² + 4²
c² = 25
c = 5
Sine is opposite over hypotenuse, so:
sin x = 3/5
x = player1
y = player 2
z = player 3
y = 2x or 1/2 y =x
y = z-10 or z = y+10
x+y+z=70
substitute x= 1/2 y and z = y+10 into the above equation
1/2y + y + y+10 = 70
2.5 y + 10 = 70
subtract 10 from each side
2.5 y = 60
divide by 2.5 on each side
y = 60/2.5
y =24
x = 1/2 y
x = 1/2 *24 = 12
z = y+10 = 24+10 = 34
The three players scored 12, 24, 34
Answer:
Length: 6 ft
Width: 4 feet
Step-by-step explanation:
Length: L
Width: 2L - 8
2L + 2(2L - 8) = 20
2L + 4L - 16 = 20
6L = 36
L = 36/6
L = 6
W= 2(6)-8 = 4
