Television sizes are described by the length of their diagonal measure. what would be the listed size of the tv shown? (to the nearest whole inch)
a) 31 inches
b) 32 inches
c) 36 inches
d) 42 inches

Here the television is of the shape of a rectangle.

If we draw a diagonal then it will divide the rectangle into two right angled triangles.

So we have to find length of hypotenuse in this case that will be diagonal itself.

The measure of two legs are ,

28 in. and 15.7 in.

Now in a right angled triangle pythagoras theorem is applied as :

where a and b are legs of the triangle and c is hypotenuse.

So plugging values of a and b,

c=32.101

So diagonal is 32.101 inches.

Rounding off it equals 32 inches.

The size of television is 32 inches. option B.

answer: the answer is (b) amie should have multiplied

step-by-step explanation: given a sphere and a cylinder with same radius and height.

let, 'r' be the radius of the cylinder and sphere and 'h' be the height of the cylinder. according to the question,

r = h.

now, the volume of the sphere will be

and the volume of the cylinder will be

therefore, we have

thus, ammie should have multiplied the volume of the sphere

  or  

step-by-step explanation:

if the four friends split the cost, p, of the pizza evenly, then each friend pays one-fourth of the cost of the pizza.

the expression is   or