Perimeter of a triangle = all 3 sides added together
x + (x - 4) + (x - 4) = 19
3x - 8 = 19
3x = 19 + 8
3x = 27
x = 27/3
x = 9 <==
When f(x) is substituted with a number, you just plug the number into wherever you see x:
_____________
f(12) = 3/2x + 14
f(12) = 3/2(12) + 14
f(12) = 18 + 14
f(12) = 32
f(-4) = 3/2x + 14
f(-4) = 3/2(-4) + 14
f(-4) = -6 + 14
f(-4) = 8
f(0) = 3/2(0) + 14
f(0) = 0 + 14
f(0) = 14
You can draw a right triangle where>
1) the distance traveled, i.e. 5280, is the hypotenuse
2) the opposite-leg is the vertical height that you need to calculate
3) the angle is 5°.
Therefore you can use the trigonometric ratio sine, which is:
sin(angle) = opposite-leg / hypotenuse = vertical height / distance traveled
= vertical height = distance traveled * sin (angle)
=> vertical height = 5,280 ft * sin(5°) = 460,18 ft
Answer: 460,18 ft
Answer:
7.95
-----------------------------------------------------------------------------------------------------------------
