A sum of J$ 2640 is set aside for giving 4 prizes in a competition. If each prize is J$ 240 lower than the preceding prize, what is the amount given for the first prize?
A circle is touching the side ^@ BC ^@ of ^@ \triangle ABC ^@ at ^@ P ^@ and touching ^@ AB ^@ and ^@ AC ^@ produced at ^@ Q ^@ and ^@ R ^@ respectively. Which of the following hold true?
A.
^@AQ = \text{ Perimeter of } \triangle ABC ^@
B.
^@ AQ = \dfrac { 1 }{ 2 } \text{(Perimeter of } \triangle ABC)^@
C.
^@ AQ = \dfrac { 1 } { 4 } \text{(Perimeter of } \triangle ABC) ^@
A decorative block shown in the figure is made of two solids_a cube and a hemisphere. The base of the block is the cube with edge of 5 cm and the hemisphere attached on the top has a diameter of 4.4 cm. If the block to be painted, then the total area to be painted is:
Brandon and Tajey each have a bag that contains one ball each of the colors pink, green, black, yellow and red. Brandon randomly selects a ball from his bag and puts it in Tajey's bag. Then Tajey randomly selects a ball from her bag and puts it in Brandon's bag. What is the probability that after this the contents of the bag are the same as before?
A capsul is in the shape of a cylinder with two hemispheres stuck to each of its ends. The length of the entire capsul is 27 mm and the diameter of the capsul is 13 mm then choose its correct surface area .