Cylinders A and B are similar solids. The base of cylinder A has a circumference of 4π units. The base of cylinder B has an area of 9π units. The dimensions of cylinder A are multiplied by what factor to produce the corresponding dimensions of cylinder B?

  1.5

Step-by-step explanation:

The radius of cylinder B can be found using the formula for area:

  A = πr²

  9π = πr² . . . substitute given area for cylinder B

  9 = r² . . . . divide by π

  3 = r . . . . . take the square root

Then the circumference of cylinder B is ...

  C = 2πr = 2π·3 = 6π

The scale factor from cylinder A to cylinder B is then ...

  scale factor = (B circumference)/(A circumference)

  scale factor = (6π)/(4π) = 3/2

Cylinder A dimensions are multiplied by 1.5 to produce the dimensions of Cylinder B.

the thermometer is precise but not accurate

step-by-step explanation:

answer is 8x+24

area of vanessa's patio = length × width

given, length = (3x² + 5x + 10)

width = (x² - 3x - 1)

area of vanessa's patio = (3x² + 5x + 10)(x² - 3x - 1)

= 3x²(x² - 3x - 1) + 5x(x² - 3x - 1) + 10(x² - 3x - 1)

= 3x⁴ - 9x³ - 3x² + 5x³ - 15x² - 5x + 10x² - 30x - 10

= 3x⁴ - 4x³ - 8x² - 35x - 10

hence, expression of vanessa's patio = (3x⁴ - 4x³ - 8x² - 35x - 10)