A spotlight can be adjusted to effectively light a circular area of up to 7 meters in diameter. What is the maximum number of square meters
that can be effectively lit by the spotlight?
(Draw a circle with a diameter of 7 meters, then solve.)

Step-by-step explanation:

Use the circle area formula:

Substitute the value of the diameter and calculate:

Maximum number of  square meters is 38

Diameter of the spotlight is 7 meters

Radius=Diameter/2=7/2 meters=3.5 meters

Area of the circular spotlight is :---

π×(radius)² =22/7×3.5×3.5=38.5 meter²

The maximum number of square meters that can be effectively lit up by the spotlight is 38.5 square meters.

step-by-step explanation:

i dont get

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