Mary lives 2.1 miles north of her school. her classmate roger lives 1.3 miles west of their school .what is the distance between mary and rogers houses ? round your answer to the nearest tenth of a mile

The distance between Mary and Rogers houses is 2.47 miles.

Step-by-step explanation:

From the given information we can form a right angle triangle.

Refer to the image given below.

N mentions the north and W mentions the south.

S denoted the School.

M denotes Mary's home - 2.1 miles away from School and forms one side of the triangle.

R denotes Roger's home - 1.3 miles away from School and forms another side of the triangle.

The distance between their houses will be the hypotenuse side of the triangle.

Hypotenuse side = .

                             = .

                             = .

                             =.

                             = 2.47.

Distance between their houses =2.47 miles.

the first question mark is 6 and the second question mark is 26 (the square root)

step-by-step explanation:

area of part 1:

a1=base*height/2=(8+2)*(8-2-2-1)/2=10*3/2=15 ft^2

area of part 2:

a2=length*width=(8+2)*1=10 ft2

area of part 3:

a3=length*width=8*2=16 ft2

total shaded area : a1+a2+a3=41 ft2

total area of the reactangle : a=16*8=128 ft2

total area of the nonshaded region : 128-41=87 ft2