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elena-s [515]
2 years ago
11

. A board game has dice shaped like octahedrons. Each edge of the dice has length 1 cm and the h= √ 2/ 2 cm. What is the volume

of each die? Round to the nearest hundredth.
Mathematics
1 answer:
taurus [48]2 years ago
5 0

Answer:

Step-by-step explanation:

The octahedron is formed from 2 congruent square pyramids.

Since each die has the shape of an octahedron, we would determine its volume by applying the formula for determining the volume of an octahedron which is expressed as

Volume = (a³√2)/3

Where

a represents the length of each edge.

From the information given,

a = 1 cm

Therefore,

Volume = (1³√2)/3 = 0.471 cm³

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A rectangle is 1/3 yd long and 2/3 yd wide
ICE Princess25 [194]
It might be 2/9 sorry if it wasn’t
3 0
3 years ago
The diameter of a quarter is 24.26 mm. Find the area
Vinil7 [7]
R=12.13
A=pi×r²
A=pi×12.13²
A≈462.2442041
A≈462.2 (to the nearest tenth).

So the answer is A≈462.2.
6 0
3 years ago
The balloon uses 4.5 quarts of gas in 7 minutes. How many gallons will it use per hour?
antoniya [11.8K]

Answer:

≈9.64 gallons

Step-by-step explanation:

To solve, we can figure out how many quarts are in a minute and use that to figure out how many quarts are in an hour. Then, we can convert quarts to gallons.

4.5 quarts = 7 minutes

First, we can find how many quarts equal 1 minute. To do this, we can divide both sides by 7 because anything divided by itself equals 1

4.5/7 quarts = 1 minute

Next, we want to figure out how many quarts go into 60 minutes, or 1 hour. To do this, we can multiply both sides by 60 because 1 * 60 = 60

4.5 * 60 / 7 quarts = 60 minutes = 1 hour

We now know how many quarts are in an hour, so we can now convert quarts to gallons

4 quarts = 1 gallon

divide both sides by 4

1 quart = 1/4 gallons

To get from quarts to gallons, we can divide by 4, so we have

(4.5 * 60 / 7)/4 = 4.5 * 60 / 28

≈9.64 gallons

4 0
3 years ago
Find an equation for the line that passes through the points (4,3) and (-6,5)
mixer [17]

Answer:

y = -1/5x + 19/5  or

x + 5y = 19.

Step-by-step explanation:

The slope of the line (m) = (5-3) / (-6-4)

= -1/5.

Using the point-slope form of the equation of a line:

y - y1 = m(x - x1)     m = -1/5. x1 = 4 and y1 = 3 , so:

y - 3 = -1/5(x - 4)

y - 3 = -1/5x + 4/5

y = -1/5x + 19/5   which is the equation in slope-intercept form.

Converting  to standard form  ( multiplying by 5):

5y = -x + 19

x + 5y = 19.

7 0
3 years ago
What is the solution to this equation?
eimsori [14]

Answer:

A.

Step-by-step explanation:

3x + x - 13 + 4 - 6x = 12

we try to combine the elements with the same power of x (including the ones without any x) :

3x + x - 6x

-13 + 4

so, we get

-2x - 9 = 12

-2x = 21

x = -21/2

4 0
2 years ago
Read 2 more answers
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