At a railway yard, locomotives are used to haul containers carrying oil. a locomotive is chosen according to the volume of oil it can haul, as shown in the table.

locomotive

capacity

a450 0−750 cubic feet
cg35 750−1,500 cubic feet
br73 1,500−2,500 cubic feet
yh61 2,500−3,500 cubic feet

the four cylindrical containers listed in the table need to be hauled.

cylinder

length (ft.)

diameter (ft.)

fill level

a 40 12 half
b 24 8 full
c 16 16 full
d 6 12 full

match each container to the locomotive needed to haul it.

tiles

a450

cylinder a

cg35

cylinder b

br73

cylinder c

yh61

cylinder d

Use the following statements to write a compound statement for the conjunction or disjunction. then find its truth value. p: an isosceles triangle has two congruent sides. q: a right angle measures 90° r: four points are always coplanar. s: a decagon has 12 sides. a) a right angle measures 90° or an isosceles triangle has two congruent sides; true. b) a right angle measures 90° and an isosceles triangle has two congruent sides; true. c) a right angle measures 90° and an isosceles triangle does not have two congruent sides; false. d) a right angle measures 90° or an isosceles triangle does not have two congruent sides; true.

Collin did the work to see if 10 is a solution to the equation r/4=2.4

Which expressions equal 9 when x=4 and y=1/3 a. x2+6y b. 2x + 3y c. y2-21x d. 5 (x/2) -3y e. 3x-9y