A piece of wire 10 cm long is bent to form a right-angled triangle.
The two shorter sides have lengths of x cm
and 2x cm respectively.
(a) Form an equation in x and show that it
reduces to x2 - 15x + 25 = 0.
(b) Hence find the length of the longest side.

Write the fraction or mixed number and the decimal shown by the model

Acone with volume 1350 m³ is dilated by a scale factor of 1/3. what is the volume of the resulting cone? enter your answer in the box. m³

The probability that a student graduating from suburban state university has student loans to pay off after graduation is .60. if two students are randomly selected from this university, what is the probability that neither of them has student loans to pay off after graduation?