All categories

3 years ago

Carmine is packing 27 superballs in 3 square layers. Each ball has a diameter of 4 cm.

1 answer:

6 0

Assuming the diameter of the ball = side of square
To stack 27 balls, we need 9 layers of 3 square each
Total space = 27 x 4³ = 1728 cm³
Total space occupied by 27 spherical balls = 27 x 4/3 π (4/2)³ = 904.78 cm³
Empty space = 1728 - 904.78 = 823.22 cm³

You might be interested in

PLEASE HELP ASAP!!!!

kolbaska11 [484]

Answer:

Step-by-step explanation:

130-89= other angle whic is 41

6 0

3 years ago

As i turned out, avery spent 5 hours per day driving and drove a total of 5565 miles. what was his average speed for the hours h

soldi70 [24.7K]

He drove 1113 per hour.

6 0

3 years ago

A school gymnasium is being remodeled. The basketball court will be similar to an NCAA basketball court, which has a length of 9

valkas [14]

Answer:

Perimeter of NCAA court=288 feet

Perimeter of new court=259.2 feet

Step-by-step explanation:

We are given that

Length of NCAA court, l=94 feet

Width of NCAA court, b=50 feet

Width of new court, b'=45 feet

We have to find the perimeter of an NCAA court and new court in the school.

Perimeter of NCAA court= $2(l+b)$

Perimeter of NCAA court= $2(94+50)$ feet

Perimeter of NCAA court=288 feet

When two rectangles are similar then the ration of their corresponding sides are equal.

Using the property

$\frac{Perimeter\;of\;NCAA\;court}{Perimeter\;of\;new\;court}=\frac{Width\;of\;NCAA\;court}{Width\;of\;new\;court}$

$\frac{288}{Perimeter\;of\;new\;court}=\frac{50}{45}$

Perimeter of new court= $\frac{288\times 45}{50}$ feet

Perimeter of new court=259.2 feet

6 0

3 years ago

(y-7)^2=2y^2-4y+73 solve for y

masya89 [10]

Answer:

y=-4 or y=-6

Step-by-step explanation:

y^2-14y+49=2y^2-4y+73

y^2+10y+24=0

(y+4)(y+6)=0

y=-4 or y=-6

7 0

3 years ago

Please help with these questions for alot of points and brainiest

Sliva [168]

5. To figure this out you must find when y = 0

-16t^2 = -200

t^2 = 12.5

Square root

t = 3.54 C

Axis of symetry = -.5 (always a vertical line down vertex)

Vertex = (-.5, -6.5) (the minimum of the graph)

7. To find maximum height you must find the vertex

The maximum height is 549 feet after 5.75 seconds

9. Solve for X

x^2 = 1

Square root

X = plus or minus 1

6 0

3 years ago

Read 2 more answers