Johnny uses a wheelbarrow to move planting soil to a delivery truck. the volume of planting soil that fits in the wheelbarrow measures 2 feet by 3feet by 1.5 feet. the delivery truck measures 11 feet by 8 feet and is 6 feet tall. johnny puts soil in the delivery truck until its 70% full. what is the minimum number of times johnny needs to use the wheelbarrow until the truck is 70% full?

41 times.

Step-by-step explanation:

We have,

A delivery truck measures 11 feet by 8 feet and is 6 feet tall.

⇒ Volume of the truck = 11 × 8 × 6 = 528 ft³,

Now, the volume of planting soil that fits in the wheelbarrow measures 2 feet by 3 feet by 1.5 feet.

⇒ Volume of planting soil = 2 × 3 × 1.5 = 9 ft³,

Let n be the number of times johnny needs to use the wheelbarrow until the truck is 70% full,

⇒ Volume of planting soil × n = 70 % of the volume of the truck

Hence, the minimum number of times johnny needs to use the wheelbarrow until the truck is 70% full is 41.

Angle 8 = 60°

Step-by-step explanation:

See the attached diagram.

The measurement of angle 2 is 60°.

Now, angle 2 = angle 4 as they are equal vertically opposite angles.

Hence, angle 4 = 60°

Now, horizontal lines AB ║ CD and the inclined line is the transverse line.

Hence, angle 4 and angle 8 are corresponding angles.

Therefore, angle 4 = angle 8 = 60° (Answer)