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Blababa [14]
3 years ago
8

The height and base dimensions of a pyramid are shown in the diagram.

Mathematics
1 answer:
marusya05 [52]3 years ago
5 0

Volume of the pyramid = 40 cubic units

Solution:

Let us find the volume of the pyramid.

Area of the base = \frac{1}{2}\ bh

                            $=\frac{1}{2}\times4\times5

                            = 10 square units

Area of the base (B) = 20 square units

Height of the pyramid = 12

Volume of the pyramid = \frac{1}{3}\times \text{Base}\times \text{Height}

                                       $=\frac{1}{3}\times 10\times12

                                       = 40 cubic units

Volume of the pyramid = 40 cubic units

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The velocities after 739 s of firing of each engine would be 6642.81 m/s in the x direction and 5306.02 in the y direction

Step-by-step explanation:

  1. For a constant acceleration: v_{f}=v_{0}+at, where  v_{f} is the final velocity in a direction after the acceleration is applied, v_{0} is the initial velocity in that direction  before the acceleration is applied, a is the acceleration applied in such direction, and t is the amount of time during where that acceleration was applied.
  2. <em>Then for the x direction</em> it is known that the initial velocity is v_{0x} = 5320 m/s, the acceleration (the applied by the engine) in x direction is a_{x} 1.79 m/s2 and, the time during the acceleration was applied (the time during the engines were fired) of the  is 739 s. Then: v_{fx}=v_{0x}+a_{x}t=5320\frac{m}{s} +1.79\frac{m}{s^{2} }*739s=6642.81\frac{m}{s}
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