The first spare parts workshop processes a batch of parts. If it processes 30 parts per hour, it will be completed 10 hours ahead of schedule. If it processes 20 parts per hour, it will be 10 hours ahead of schedule Six hours ahead of schedule, how many parts are there?

The first spare parts workshop processes a batch of parts. If it processes 30 parts per hour, it will be completed 10 hours ahead of schedule. If it processes 20 parts per hour, it will be 10 hours ahead of schedule Six hours ahead of schedule, how many parts are there?


Set X pieces of this batch of parts
x÷30+10=x÷20+6
2x+600=3x+360
x=240
There are 240 parts in this batch



If a worker produces 5 more parts per day, he will produce 15 more parts per day in 26 days. How many parts does the worker originally plan to produce per day? If the original plan is to produce X pieces per day, the equation can be expressed as follows______ .


The original planned production is 30x, and the actual production is (30x + 15). The equation is: 30x + 15x + 5 = 26



Given △ ABC ≌ △ def, BC = EF, ∠ C = ∠ F, ∠ a = 46 °, ∠ B = 37 ° and ED = 6cm, calculate the degree of ∠ F and the length of ab


∵∠A+∠B+∠C=180° ,∠A=46°,∠B=37° ∴∠C=97°
∵△ ABC is equal to △ def ∫ C = ∠ F, ab = De
∴∠F=97° ∵ED=6cm ∴AB=6cm



Given that e is the unit vector, | a | = 4, and the angle between a and E is 23 π, then the projection of a in the direction of E is___ .


Because the definition of projection shows that the projection of a in e direction is: | a | cos & lt; a, E & gt;, and | a | cos = 4, the angle between a and E is 23 π, & nbsp;, so | a | cos & lt; a, E & gt; = 4cos2 π 3 = 4 × (- 12) = - 2



In the triangle ABC, D and E are the midpoint of AB and AC respectively. If the area of ABC is 8, the area of ADE can be obtained