How many triangles will there be in the 7th term of the following sequence?

The image shows three tennis balls enclosed in a cylindrical can. Choose all that are correct. The volume of a single tennis bal

Fynjy0 [20]

Answer:

The volume of a single tennis ball is $14.14\ in^{3}$

The volume of three tennis balls is $42.42\ in^{3}$

Step-by-step explanation:

Step 1

Find the volume of a single tennis ball

we know that

The volume of a sphere is equal to

$V=\frac{4}{3}\pi r^{3}$

where r is the radius of the sphere

In this problem

$r=3/2=1.5\ in$

substitute

$V=\frac{4}{3}\pi (1.5)^{3}$

$V=14.14\ in^{3}$

Step 2

Find the volume of the can

we know that

the volume of the cylinder is equal to

$V=\pi r^{2} h$

where r is the radius of the cylinder

h is the height of the cylinder

in this problem we have

$r=3/2=1.5\ in$

$h=8.4\ in$

substitute

$V=\pi (1.5)^{2}(8.4)$

$V=59.38\ in^{3}$

Statement

case A) The volume of a single tennis ball is $14.14\ in^{3}$

The statement is true

See the procedure in Step 1

case B) The volume of the can is $56.55\ in^{3}$

The statement is false

The volume of the can is $59.38\ in^{3}$ --> see the procedure Step 2

case C) The empty space inside the can is $14.13\ in^{3}$

The statement is false

To find the empty space subtract the volume of three tennis ball from the volume of the can

$59.38\ in^{3}-3*14.14\ in^{3}=16.96\ in^{3}$

case D) The volume of three tennis balls is $42.42\ in^{3}$

The statement is true

To find the volume of three tennis balls multiply the volume of a single tennis ball by three

$14.14*3=42.42\ in^{3}$

8 0

3 years ago

Quien me ayuda (((2)³)¹)⁶ ((((-4)³)¹)⁷)¹

sukhopar [10]

I really don’t know and dudjduifhdhsid

4 0

3 years ago

What is 34/40 in simplest form

vampirchik [111]

Answer: 17/20

Divide

34/40 ÷ 2/2 = 17/20

Divide each side by 2 so it'll be 2/2.

6 0

3 years ago

Read 2 more answers

Find an equation for a quartic function containing the following points: (2, 60), (-3, 0), (-1, 0), (4, 0), (1, 0).

tia_tia [17]

Answer:

f(x) = -2(x + 3)(x + 1)(x - 4)(x - 1) or

f(x) = -2x^4 + 2x^3 + 26x^2 - 2x -24.

Step-by-step explanation:

The zeros of the function are at (-3, 0), (-1, 0), (4, 0), (1, 0) so in factor form the function is:

a(x + 3)(x + 1)(x - 4)(x - 1) where a is some constant.

We find a by substituting the point (2, 60)

60 = a(2+3)(2+1)(2-4)(2-1)

-30a = 60

a = -2.

So the function is -2(x + 3)(x + 1)(x - 4)(x - 1) .

3 0

3 years ago

Read 2 more answers

How do I show my work on this problem ? I know the answer is -8,-10 because multiple people told me but I need to show my work

Simora [160]

Step-by-step explanation:

try adding them together that'll make sense duh lol

8 0

3 years ago