How do i do question 11? me you

The equation for surface area can be written

... A = 2(LW +H(L +W))

Substituting the given values gives an equation that we can solve for x

... 129.6 = 2(x·x +2x(x +x)) = 10x²

... x = √(129.6/10) = 3.6 . . . . . . . cm

The equation for volume can be written

... V = LWH

Substituting the given values gives an expression for volume in terms of x.

... V = x·x·2x = 2x³

Then the rate of change of volume is

... dV/dt = 6x²·dx/dt

... dV/dt = 6·(3.6 cm)²·(0.01 cm/s)

... dV/dt = 0.7776 cm³/s

let x be the money she spent so that she can earn the free t-shirt.

since, she already spent $112.49

⇒

also, as per the statement: jennifer must spend $250 or more in order to qualify for a free t-shirt at the store.

then,

we have an inequality i.,e

subtract 112.49 from both sides we get;

therefore, $137. 51 more money does jennifer need to spend so that she can earn the free t-shirt

answer: the angel abc is 30°,and the abc is a triangle where the angel bac is 90°

so ac is the half of 24=12ft,and from the pythagorean theorem we find ba

ba=√bc^2-ac^2=√576-144=√432=12√3ft

so bac is 12+12√3=12(1+√3)ft