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Margaret [11]
3 years ago
5

A board game has dice shaped like octahedrons. Each edge of the dice has length 2 cm, and h = 2√2 cm. What is the volume of each

die? Round to the nearest hundredth.
Mathematics
1 answer:
Lemur [1.5K]3 years ago
6 0

Answer:

3.73cm³

Step-by-step explanation:

Step one

This problem bothers on the mensuration of solid shapes, a octahedrons

Step two

We know that the volume expression for octahedrons is given as

Volume = √2/3(a)³

Given data

a= 2cm

Substituting our given data we have

V= √2/3(2)³

V= √2/3*8

V= 1.41/3*8

V= 0.47*8

V= 3.73cm³

The volume is 3.76cm³

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If y varies directly with x, find the missing value below.<br><br> (2, -34) and (x, 85)
DedPeter [7]

Answer:

X= -5

Step-by-step explanation:

y varies directly with x,

so y=kx

-34=k×2

k= -17

85= -17× X

X= -5

8 0
2 years ago
9 and 5 twelves, minus 6 and 7 twelves
mash [69]

Answer:

2 5/6

Step-by-step explanation:

9 5/12 - 6 7/12

We will need to borrow from the 9

8 12/12 + 5/12 - 6  7/12

8 17/12 - 6 7/12

(8-6) + (17/12 -7/12)

2 10/12

This simplifies.  Divide the top and bottom of the fraction by 2

2 5/6

5 0
3 years ago
A rectangle is 12 feet long and 5 feet wide. If the length of the rectangle is increased by 25% and the width is decreased by 20
Evgen [1.6K]

Answer:

no change in area

Step-by-step explanation:

The original area is

A = 12*5 = 60 ft^2

The new length and width

l = 12 + .25 (12) = 12+3 =15

w = 5 - .2 (5) =5-1 = 4

The new area is

A = l*w =15*4 = 60 ft^2

The area is the same

7 0
3 years ago
Is 2/5 greater than 2/3? ​
liubo4ka [24]

Answer:

no because 2/3 is greater

5 0
2 years ago
Read 2 more answers
Equation<br><img src="https://tex.z-dn.net/?f=%28z%20%2B%20%20%5Cfrac%7B6%7D%7B7%7D%20%29%20%2B%20%20%5Cfrac%7B2%7D%7B14%7D%20%2
ddd [48]

Given:

The equation is

\left(z+\dfrac{6}{7}\right)+\dfrac{2}{14}=-1

To find:

The solution of the given equation.

Solution:

We have,

\left(z+\dfrac{6}{7}\right)+\dfrac{2}{14}=-1

It can be written as

\left(z+\dfrac{6}{7}\right)+\dfrac{1}{7}=-1

\left(z+\dfrac{6}{7}\right)=-1-\dfrac{1}{7}

Multiply both sides by 7.

7z+6=-7-1

7z+6=-8

7z=-8-6

7z=-14

Divide both sides by 7.

z=\dfrac{-14}{7}

z=-2

Therefore, the value of z is -2.

5 0
2 years ago
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