Erica made a cylindrical pottery vase with a height of 45 cm and a diameter of 14 cm. erica’s friend janine made a cylindrical vase in which the sum of the lateral area and area of one base was about 3000 square centimeters. the vase had a height of 50 centimeters. find the radius of the vase to the nearest tenth.

The answer to your question is: 8.8 cm

Step-by-step explanation:

Data

total area = 3000 cm²

height = 50 cm

radius = ?

Formula

Total area = lateral area + base area = 2πrh + πr²

3000 = 2(3.1416)(50)r + (3.1416)r²

3000 = 314.16r + 3.1416r²          = 3.1416r² + 314.16r - 3000 = 0

Solve the equation with the quadratic formula

r1 = 8.77             r 2 = -108.78 (this answer is incorrect because is negative)

the required function is .

step-by-step explanation:

from the given table it is noticed that the graph passing through (-3,7), (0,4), (3,1) and (8,-4).

it is a linear function because the value of y is decrease by one as the value of x increase by 1.

the slope of the function is

the slope of the function is -1 and the y-intercept is 4.

the slope intercept form is

where, m is slope and b is y-intercept.

therefore the required function is . the graph of this function is shown below.

it’s supposed to be -4+45=41

step-by-step explanation: