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andrezito [222]
4 years ago
12

For the regular octahedron, each edge has length 2 cm, and h = 2√ cm. What is the volume of the octahedron? Round to the nearest

hundredth.
Mathematics
1 answer:
Juli2301 [7.4K]4 years ago
4 0

Answer:

The volume of this octahedron is approximately 3.77 cm³.

Step-by-step explanation:

The volume of a regular octahedron is given by the following formula:

Volume = (1/3)*sqrt(2)*a³

Where "a" is the length of each edge. Therefore to solve this problem we have:

Volume = (1/3)*sqrt(2)*(2)³

Volume = (1/3)*sqrt(2)*8

Volume = 3.7712 cm³

The volume of this octahedron is approximately 3.77 cm³.

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For what value of x do the functions f(x)=−52x+4 and g(x)=−12x−4 have the same output?
PSYCHO15rus [73]
- 52 x 1/5 + 4 = - 6.4
-12 x 1/5 - 4 = -6.4
The answer is 1/5
8 0
3 years ago
If f(x) = 3^2 + 10x and g(x) = 2x-4, find (f-g)(x).
Marat540 [252]

What we know:      

f(x)=3^2+10x\\g(x)=2x-4                

(Also, 3^2=9)

What we need to solve:

(f-g)(x)             (This is equal to f(x)-g(x))

How you have to subtract f(x) with g(x) to get:

(f-g)(x) = f(x)-g(x) = 9+10x+2x-4 = 12x+5

Thus, the answer would be:

12x+5

3 0
3 years ago
The driver of a 810.0 kg car decides to double the speed from 23.6 m/s to 47.2 m/s. What effect would this have on the amount of
Setler [38]

Answer:

  • KEi = 2.256×10^5 J
  • KEf = 9.023×10^5 J
  • 4 times as much work

Step-by-step explanation:

The kinetic energy for a given mass and velocity is ...

  KE = (1/2)mv^2 . . . . . m is mass

At its initial speed, the kinetic energy of the car is ...

  KEi = (1/2)(810 kg)(23.6 m/s)^2 ≈ 2.256×10^5 J . . . . . m is meters

At its final speed, the kinetic energy of the car is ...

  KEf = (1/2)(810 kg)(47.2 m/s)^2 ≈ 9.023×10^5 J

The ratio of final to initial kinetic energy is ...

  (9.023×10^5)/(2.256×10^5) = 4

4 times as much work must be done to stop the car.

_____

You know this without computing the kinetic energy. KE is proportional to the square of speed, so when the speed doubles, the KE is multiplied by 2^2 = 4.

8 0
3 years ago
In what order should you perform the operations in the expression 4×3−12÷2+5?
ioda

Answer:

Bidmas(brakets-indices-division-multiplication-addtion-subtraction) therfore

4*3-6+5=12-6+5=12-1=11

6 0
3 years ago
Read 2 more answers
A biologist determined that there were 42 oak trees in a 5-acre forest. How many oak trees would be expected on 40 acres of iden
klio [65]

Answer:

336

Step-by-step explanation:

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