Answer:
in steps
Step-by-step explanation:
upper square: P = 20x² + 8
<u>side: P/4 = 5x² + 2</u>
<u>A = side² = (5x² + 2)² = 25x⁴ + 20x² + 4</u>
Middle equilateral Triangle: A = x² + 4x + 4 base = 2x + 4
A = base x height / 2
(x + 2)² = 2 (x + 2) x height /2
<u>height = x + 2</u>
<u>perimeter = 2 (x + 2) x 3 = 6x + 12</u>
Lower trapezoid: A₁ = 2x² + 24x + 40 = 2 (x² + 12x + 20) = 2 (x + 2) (x + 10)
A₁ = (x + 10)² = 2 (x + 2) (x + 10)
x + 10 = 2x + 4
x = 6
<u>A₂ = (2x + 4) (x + 10) / 2 = (16 x 16) / 2 = 128</u>
A₁ = (6 + 10)² = 256
<u>AT = 256 + 128 = 384</u>
Step-by-step explanation:
phytagora:
a^2+b^2=c^2
10^2+24^2=c^2
100+576=c^2
676=c^2
c=√676
c=√169×4
c=13×2
=26
Hello,
g=9.81m/s²= 9.81/0.3048 =32.18.. ft/s² rounded to 32
h=-g/2*t²+vt+h0
if t=0,h=0 ==>h0=0
==>h=-16*t²+vt
50 ft in 2.5s ==> 25 ft in 1.25s
25=-16*1.25²+v*1.25
==>v=50/1.25=40
Equation h=-16t²+40*t
5^(x+3)=25^(x-2)
Apply the exponent rule ( 5 ^2 = 25, so remove the 5 and replace 25?with 2)
x + 3 = 2(x-2)
Simplify:
X + 3 = 2x -4
Add 4 to both sides:
X + 7 = 2x
Subtract x from both sides
X = 7
Answer: x = 7
