Natalee transferred water from a square pyramid to a cube. To calculate how many times she will need to dump the water from the pyramid into the cube to completely fill the cube, we divide the volume of the cube by the volume of the square pyramid. Hence:

Number of times = volume of cube / volume of pyramid

The perimeter of the pyramid base = 25 in, hence the length of one side of the bae = 25 / 4 = 6.25 in

Volume of square pyramid = base² × (height / 3) = (6.25 in)² * (5 in / 3) = 65.1 in³

Volume of cube = 125 in³

Number of times = 125 in³ / 65.1 in³ = 1.92

3 0

3 years ago

A radio telescope has a parabolic surface, as shown below. If the telescope is 5 m deep and 40 m wide, how far is the focus from

Montano1993 [528]

Answer:

i think the answer is 8m

Step-by-step explanation:

4 0

3 years ago

The solutions to the inequality y ≤ 2x − 4 are shaded on the graph. Which point is a solution?

I am Lyosha [343]

Answer:

it's the point (3, 2)

Step-by-step explanation:

Plug in 3 into x and plug in 2 into y. You will get 2≤2(3)-4. This ends up equalling 2≤2. THis is the answer cuz 2 is equal to or less than 2. :)

8 0

3 years ago

The graphs of f(x)=2x+4 and g(x)=10−4x intersect at (1, 6) . What is the solution of the equation 2x+4=10−4x ?

Gnoma [55]

Answer:

x=1 is the solution of the equation 2x+4=10−4x

Step-by-step explanation:

The graphs of f(x)=2x+4 and g(x)=10−4x intersect at (1, 6)

2x +4 = 10 - 4x

We need to solve for x by combining like terms

Add 4x on both sides

6x + 4= 10

Now subtract 4 on both sides

6x = 6

divide both sides by 6

x= 1

x=1 is the solution of the equation 2x+4=10−4x

5 0

3 years ago