Aright triangle has legs of lengths 9 cm and 12 cm. calculate the length of the hypotenuse?

Length of hypotenuse is 15 cm

Step-by-step explanation:

If a,b are the legs of right triangle

and hypotenuse is c then according to Pythagorean theorem

taking square root ,we get

c = 15

therefore hypotenuse for given right triangle is 15 cm.

answer: 25.4 units

step-by-step explanation: radius = 12.7 units

diameter = twice the radius

diameter = 12.7 x 2

= 25.4

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