In an aligned and continuous glass fiber-reinforced nylon 6,6 composite, the fibers are to carry 93 % of a load applied in the longitudinal direction. modulus of elasticity [gpa(psi)] tensile strength [mpa(psi)] glass fiber 72.5 (10.5 ×106) 3400 (4.9 ×105) nylon 6,6 3.0 (4.35 ×105) 76 (11,000) (a) using the data provided, determine the volume fraction of fibers that will be required.

the system of inequity is

step-by-step explanation:

from the given graph it is noticed that we have two related lines. one is solid and another is dashed.

if a line passing through two points, then the equation of line is

the solid line passing through the points (0,4) and (4,0).

the related equation of solid line is .

similarly, find the related equation of dashed line. the dashed liune passing through the points (0,0) and (3,1).

the related equation of dashed line is

from the given graph it is noticed that the point (0,1) lies on the shaded region, therefore the point (0,1) must be satisfied by the related equations.

check the related equations by the point (0,1).

this statement is true if the sign of inequality is < instead of equality. since it is an solid line therefore the sign of inequality will be . the required inequality is

similarly, check the second related equation.

it is a dashed line, so this statement is true if the sign of inequality is > . the required inequality is

no solution

step-by-step explanation:

there is not enough information in the problem to solve.