Sin θ = 2 / 7
tan θ > 0
cos θ = ?
sin θ = opposite / hypotenuse
tan θ = opposite / adjacent
cos θ = adjacent / hypotenuse
short leg = opposite = 2
hypotenuse = 7
long leg = adjacent = ?
adjacent = √(7² - 2²)
adjacent = √(49 - 4)
adjacent = √45
adjacent = √9 * 5
adjacent = 3 √5
cos θ = adjacent / hypotenuse
cos θ = 3√5 / 7
Answer:
Number of 3 point goals = 85
Number of 2 point goals = 3(85) - 62 = 193
Number of free throws = 3(85)- 32 = 223
Step-by-step explanation:
Given that :
2 point goals
Number of 3 point goals = x
Number of 2 point goals = 3x - 62
Number of free throws = 3x - 62 - 30 = 3x - 32
3x + 2(3x - 62)+ 3x - 32= 864.
3x + 6x - 124 + 3x - 32 = 864
12x = 864+ 124 + 32
12x =1020
x = 1020 / 12
x = 85
Number of 3 point goals = 85
Number of 2 point goals = 3(85) - 62 = 193
Number of free throws = 3(85)- 32 = 223
Answer:
5
Step-by-step explanation:
First we need to find the slope
m = (y2-y1)/ (x2-x1)
= (-3-3)/(4-1)
=-6/3
= -2
Then we can use point slope form to make the equation
y-y1 = m(x-x1)
y-3 = -2(x-1)
Distribute
y-3 = -2x+2
Add 3 to each side
y-3+3 = -2x+2+3
y = -2x+5
Since this is in slope intercept form, y = mx +b, the y intercept is 5
