Athermos in the shape of a cylinder is filled with coffee. the height of the cylinder is 12 inches and its radius is 2 inches. to the nearest tenth of a cubic inch, what is the volume of coffee in the thermos? a) 138.2 cubic inches b) 144.5 cubic inches c) 150.8 cubic inches d) 157.1 cubic inches

Option C is correct

Volume of coffee in the thermos is, 150.8 cubic inches

Step-by-step explanation:

Volume of the cylinder is given by:

Where

V is the volume of the cylinder

r is the radius

h is the height of the cylinder respectively

As per the statement:

A thermos in the shape of a cylinder is filled with coffee.

the height of the cylinder is 12 inches and its radius is 2 inches

⇒ h = 12 inches and r = 2 inches.

Substitute the given values and use in [1]

then;

Simplify:

V  ≈150.8 inches.

Therefore, the volume of coffee in the thermos is, 150.8 cubic inches

= 5

step-by-step explanation:

to find the 15th term substitute n = 15 into the nth term formula

= (- 3 × 15 ) + 50 = - 45 + 50 = 5

the polynomial is a perfect square trinomial of the form a^2-2ab+b^2:

option a. true

step-by-step explanation:

9x^2-12x+4

comparing with the form a^2-2ab+b^2

1.) a^2=9x^2

solving for a: square root both sides of the equation:

sqrt(a^2)=sqrt(9x^2)

a=sqrt(9) sqrt(x^2)

a=3x

2.) b^2=4

solving for b: square root both sides of the equation:

sqrt(b^2)=sqrt(4)

b=2

to be a perfet square trinomial 2ab must be equal to 12x. let's check:

2ab = 2 (3x) (2)

2ab = 12x

correct