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Anika [276]
3 years ago
12

Can someone please help on this question

Mathematics
1 answer:
Gemiola [76]3 years ago
8 0

Answer:

The volume of the regular tetrahedron is 283.5 m³

Step-by-step explanation:

The formula of the volume of the regular tetrahedron is V = \frac{1}{3} A h, where

  • A is the base area of it
  • h is the height of it

∵ The area of the base of a regular tetrahedron is 98.9 m²

∴ A = 98.9 m²

∵ The height of it is 8.6 m

∴ h = 8.6 m

→ Substitute them in the formula of the volume above

∵ V = \frac{1}{3} (98.9)(8.6)

∴ V = 283.5133333 m³

→ Round it to the nearest tenth of a cubic meters

∴ V = 283.5 m³

∴ The volume of the regular tetrahedron is 283.5 m³

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Answer:

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Step-by-step explanation:

(6x+1)+(2x+10)=79

6x+2x    1+10

8x +11=79

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8x=68

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3 years ago
What is the minimum of the sinusoidal function?
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Answer:

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Step-by-step explanation:

The given sinusoidal function has an amplitude of 4.

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1A research firm finds that the average number of customers that are in Somerset Mall on a
SpyIntel [72]

Answer: C(t) = -475.5*cos(t*pi/6) + 475.5

Step-by-step explanation:

We know that we have a sinusoidal relation, with a minimum at 9:00 am and at 9:00 pm.

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and the other minimum, at 9:00pm, is at t = 12 hours.

Then we need to find a trigonometric function that has the minimum at t = 0, we can do this as:

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then we have a function:

C(t) = -A*cos(c*t) + B

where A, c and B are constants.

We know that at t = 0 we have 0 customers, and that at t = 6h we have 875 customers, that is the maximum.

then:

C(0) = 0 = -A + B

this means that A  = B, then our function is:

C(0) = -A*cos(c*t) + A.

now, at t = 6h we have a maximum, this means that -A*cos(c*6h) = A

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A = 875/2 = 437.5

and we also have that, if -cos(c*6) = 1

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C(t) = -475.5*cos(t*pi/6) + 475.5

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