Answer:
QR=RS
Step-by-step explanation:
She knows that PRQ=TRS because of vertical angles.
She needs to know the length of the lines QR and RS are equal, that is the line between the two angles.
5x=25 X= 5
X/3=7 X= 21
2x=14 X= 7
x/2=12 X=6
x/4=6 X=24
Answer:
about $160
Step-by-step explanation:
$ 40/ for 6 movies = $6.66/movie
$6.66/movie x 24 movies = about $160
Answer:
) See annex
b) See annex
x = 0,5 ft
y = 2 ft and
V = 2 ft³
Step-by-step explanation: See annex
c) V = y*y*x
d-1) y = 3 - 2x
d-2) V = (3-2x)* ( 3-2x)* x ⇒ V = (3-2x)²*x
V(x) =( 9 + 4x² - 12x )*x ⇒ V(x) = 9x + 4x³ - 12x²
Taking derivatives
V¨(x) = 9 + 12x² - 24x
V¨(x) = 0 ⇒ 12x² -24x +9 = 0 ⇒ 4x² - 8x + 3 = 0
Solving for x (second degree equation)
x =[ -b ± √b²- 4ac ] / 2a
we get x₁ = 1,5 and x₂ = 0,5
We look at y = 3 - 2x and see that the value x₂ is the only valid root
then
x = 0,5 ft
y = 2 ft and
V = 0,5*2*2
V = 2 ft³
