there are four fruit trees in the corners of a square backyard with 21.43-ft sides.
What is the distance between the apple A and the plum P to the nearest tenth?
Diagonal = 21.43 ft • sqrt(2)
= 21.43 ft • 1.4142
= 30.306306 ft
call it 30.31 ft
What is the surface area of this triangular pyramid?
base (1/2) (13.0 cm) (11.3 cm) = 73.45 cm3
3 sides (3) (1/2) (13.0 cm) (9.0 cm) = 175.50 cm3
total 248.95 cm3
.
How much space is inside the fort?
small box 0.50 m x 0.50 m x 0.50 m = 0.125 m3
large box 1.00 m x 0.50 m x 0.75 m = 0.375 m3
total 0.500 m3
4x + (2x – 14) + 2x + (3x + 10) + 3x = 360
14x – 4 = 360
14x = 364
x = 26
Simplify complete: (x^2+4x-45) / (x^2+10x+9)
x2 + 4x – 45 (x + 9) (x – 5) x – 5
–––––––––––– = –––––––––––– = ––––––
x2 + 10x + 9 (x + 9) (x + 1) x + 1
