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One side of a triangle and a rectangle is the same. The third vertex of the triangle lies on the midpoint of the rectangle side opposite the common side. The rectangle sides are in the ratio 2 : 3 and the common side is the longer side of the rectangle.  What is the sin value of the angle between the common side and the equal side of the triangle?
Rashna Company collected the following data in its accounting records in 2014 : From the income statement : Depreciation expense Tk. 1,000 Loss on sale of equipment 3,000 From the comparative balance sheet : Beginning balance , equipment Tk. 12,500 Ending balance , equipment 8,000 Beginning balance , accumulated depreciation 2,000 Ending balance , accumulated depreciation 2,400 No new equipment was purchased during the year. The equipment was sold at the end of the year. What was the cash in -flow from the sale of equipment in 2014?
Simplify : $${{{5 \over 3} \times {7 \over {51}}{\text{ of }}{{17} \over 5} - {1 \over 3}} \over {{2 \over 9} \times {5 \over 7}{\text{ of }}{{28} \over 5} - {2 \over 3}}}$$
Which of the following among item A and item B are correct?
Item A: Common intention within the meaning of Section 34 of the Penal Code means:
1. Evil intention of many persons to commit the same act
2. Implication of a pre-arranged plan, prior meeting of mind, between all the persons constituting the group
3. A desire of several persons to commit an act without contemplating the consequences
Item B: Within the meaning of section 149 in prosecution of common object of an unlawful assembly's means:
1. In relation to common intention of the group
2. In order to attain the common object
3. In relation to a common object
Select the correct answer:
The transfer function of a discrete time LTI system is given by
$$H\left( z \right) = {{2 - {3 \over 4}{z^{ - 1}}} \over {1 - {3 \over 4}{z^{ - 1}} + {1 \over 8}{z^{ - 2}}}}$$
Consider the following statements:
S1 : The system is stable and causal for
$$ROC:\left| z \right| > {1 \over 2}$$
S2 : The system is stable but not causal for
$$ROC:\left| z \right| S3 : The system is neither stable nor causal for
$$ROC:{1 \over 4} Which one of the following statements is valid?
A 250 mm by 250 mm ingot casting, 1.5 m high and at 1225 K temperature, is stripped from its mold. The casting is made to stand on end on the floor of a large foundry whose wall, floor and roof can be assumed to be at 300 K temperature. Make calculation for the rate of radiant heat interchange between the casting and the room. The casting material has an emissivity of 0.85
The casting processes that require expendable moulds are
P. Investment casting
Q. Low pressure casting
R. Shell moulding
S. Slush casting
A part of the sentence may or may not have an error. Find out which part has an error and mark that part as your answer. If there are no errors, mark 'No error' as your answer.  The functional sections of the brain are also categorized by side-the right side and the (A)/left side, each side are responsible for different functions,(B)/ and general patterns of dysfunction may occur depending on the side of the brain sustaining an injury.(C)/ No Error (D)
A charged particle q moving with a velocity \(\mathord{\buildrel{\lower3pt\hbox{$\scriptscriptstyle\rightharpoonup$}} \over v} \) in a magnetic field \(\mathord{\buildrel{\lower3pt\hbox{$\scriptscriptstyle\rightharpoonup$}} \over B} \) experiences a force given by \(\mathord{\buildrel{\lower3pt\hbox{$\scriptscriptstyle\rightharpoonup$}} \over F} = q\left( {\mathord{\buildrel{\lower3pt\hbox{$\scriptscriptstyle\rightharpoonup$}} \over v} \times \mathord{\buildrel{\lower3pt\hbox{$\scriptscriptstyle\rightharpoonup$}} \over B} } \right).\) What is the work done by the force during a displacement \(\mathord{\buildrel{\lower3pt\hbox{$\scriptscriptstyle\rightharpoonup$}} \over{\Delta r}}\) of the charged particle?
In triangle PQR length of the side QR is less than twice the length of the side PQ by 2 cm. Length of the side PR exceeds the length of the side PQ by 10 cm. The perimeter is 40 cm. the length of the smallest side of the triangle PQR is: