Aroom is a square with walls 40 ft long each. if they hang the lights around the perimeter of the ceiling and then from the opposite corners to opposite corners to create an x on the ceiling, how many feet of lights are needed? use special triangles to answer both in the exact feet and to the nearest foot. if lights come in 30 ft strands. how many strands are needed?

10 strands

Step-by-step explanation:

Perimeter of the room = 40 + 40 + 40 + 40 = 160 ft

Diagonal length of the room = √(40² + 40²) = 40√2 ft

Total length = 160 + 40√2 + 40√2 = 273.14 ft (Nearest hundredth)

Strands needed =  273.14  ÷ 30 =  10 (Next nearest whole number)

d. 8

step-by-step explanation:

the given radical expression is:

we can rewrite this as:

we express as square numbers to get;

the exponents will now cancel out to give.

the correct answer is d

c.

step-by-step explanation:

she should of added 9^2 and 12^2. that is because it is a^2+b^2=c^2. c^2 is the hypotenuse and should always be bigger than the other two numbers. which is why she should of added 9 squared and 12 squared together instead of 15 squared.