569/x=100/18
multiply both sides of the equation
569=5.55556
now we divide
569/5.55556
102.42=x
18% of 569=102.42
Area of aqua: A = bh/2 = (13.4cm) (4cm)/2 = 26.8cm2
Total area trapezoid: A = (a+b/2)h = ((13.4cm + 18cm)/2) 4cm = 62.8cm2
Area of purple = Total area - area of
aqua = (62.8cm2) - (26.8cm2) = 36cm2
Answer:
x=19
Step-by-step explanation:
First, you place the numbers in place of the variables in their relative positions using the pythagorean theorem:
Then you square the numbers that you currently have:
Then subtract 225 from both sides to isolate the x:
This gives you the equation:
Then take the square root of both sides which gives you:
Then round to the nearest whole number which gives you x=19
other leg = 12 cm
using Pythagoras' identity with x as the side to be found, then
x = √(13² - 5² ) = √(169 - 25 ) =√144 = 12
F(x) = x² - 3x
g(x) = √x - 1
f(g(x))= (√x - 1)² - 3(√x - 1) = (√x - 1)(√x - 1 - 3) =(√x - 1)(√x - 4) =
= √x √x -1*√x -4*√x +4 = x -5√x +4
Answer: x -5√x +4