You know the relationship between the hypotenuse and the legs of a right triangle.
Take a look at this problem.
Ms. Berkin is dividing her 4-foot by 6-foot bulletin board into 4 sections with ribbon
stretched from each corner to the opposite corner. How much ribbon does she need?
Use math you already know to solve the problem.
a. Write the equation for the Pythagorean Theorem for your reference.
b. In the rectangle, sketch the position of the ribbons and outline a right triangle with a
diagonal of the rectangle as the hypotenuse.
c. Label the vertical leg a and write its length. a =
d. Label the horizontal leg b and write its length. b =
e. Write an expression for the length of the hypotenuse. c=
f. Solve for c. (=
g. How many feet of ribbon does Ms. Berkin need?

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is

i believe the answer is 323 ft

step-by-step explanation:

y=-2.5x+12.5

step-by-step explanation:

5y=2x+10

y=0.4x+2

slope=-2.5

5=-2.5*3+b

b=12.5