Answer: 50
Step-by-step explanation:





Substitute 3 for x:
= 20(3)-10
= 50
the prism is filled completely, that means volume of prism = sum volume of cubes
volume of a cube =h^3, volume of each cube = 14cmx14cmx14cm=2744cm^3
volume of 2304cubes = 2304 x 2744cm^3=6322176cm^3
so the volume of prism = <span>6322176cm^3</span>
Answer:
- 575.6 N at 40°
- 451.7 N at 55°
Step-by-step explanation:
Angles are measured from the direction of motion, so the "force made good" is the force in the rope multiplied by the cosine of the angle. If the forces in the ropes (in Newtons) are represented by x and y, then we have ...
x·cos(40°) +y·cos(55°) = 700
In order for the resultant to be in the direction of motion, the forces perpendicular to the direction of motion must cancel.
x·sin(40°) - y·sin(55°) = 0
Here, we have assumed that the positive direction for measuring 40° is the negative direction for measuring 55°. That is, the angles are measured in opposite directions from the direction of motion.
Any of the usual methods for solving systems of linear equations can be used to solve this set. My preference is to use a graphing calculator. It gives the answers summarized above.
Answer:
B and C
When you divide 64000 by 2 and 480000 by 15, they all equal 32000.