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Rainbow [258]
3 years ago
10

What is the answer to this equation 7/k-2=5/8

Mathematics
1 answer:
hodyreva [135]3 years ago
5 0
7/k - 2 = 5/8
7/k = 5/8 + 2
7/k = 2.625
7 = 2.625k
7/2.625 = 2.625k/2.625
2(2/3) = k
k = 2(2/3)

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The value of the 7 in 3,796.41 is of the value of the 7 in which of the following numbers?
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I think is A Please tell me is right?
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Pyramid A has a triangular base where each side measures 4 units and a volume of 36 cubic units. Pyramid B has the same height,
omeli [17]

Answer:

The volume of pyramid B is 81 cubic units

Step-by-step explanation:

Given

<u>Pyramid A</u>

s = 4 -- base sides

V = 36 -- Volume

<u>Pyramid B</u>

s = 6 --- base sides

Required

Determine the volume of pyramid B <em>[Missing from the question]</em>

From the question, we understand that both pyramids are equilateral triangular pyramids.

The volume is calculated as:

V = \frac{1}{3} * B * h

Where B represents the area of the base equilateral triangle, and it is calculated as:

B = \frac{1}{2} * s^2 * sin(60)

Where s represents the side lengths

First, we calculate the height of pyramid A

For Pyramid A, the base area is:

B = \frac{1}{2} * s^2 * sin(60)

B = \frac{1}{2} * 4^2 * \frac{\sqrt 3}{2}

B = \frac{1}{2} * 16 * \frac{\sqrt 3}{2}

B = 4\sqrt 3

The height is calculated from:

V = \frac{1}{3} * B * h

This gives:

36 = \frac{1}{3} * 4\sqrt 3 * h

Make h the subject

h = \frac{3 * 36}{4\sqrt 3}

h = \frac{3 * 9}{\sqrt 3}

h = \frac{27}{\sqrt 3}

To calculate the volume of pyramid B, we make use of:

V = \frac{1}{3} * B * h

Since the heights of both pyramids are the same, we can make use of:

h = \frac{27}{\sqrt 3}

The base area B, is then calculated as:

B = \frac{1}{2} * s^2 * sin(60)

Where

s = 6

So:

B = \frac{1}{2} * 6^2 * sin(60)

B = \frac{1}{2} * 36 * \frac{\sqrt 3}{2}

B = 9\sqrt 3

So:

V = \frac{1}{3} * B * h

Where

B = 9\sqrt 3 and h = \frac{27}{\sqrt 3}

V = \frac{1}{3} * 9\sqrt 3 * \frac{27}{\sqrt 3}

V = \frac{1}{3} * 9 * 27

V = 81

6 0
3 years ago
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Ede4ka [16]

Answer:

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Step-by-step explanation:

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__

B. If you have trouble with sums, your calculator can help.

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C. -36/x = -9 can be solved by multiplying by x and dividing by -9:

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D. The absolute value function changes the sign of negative numbers to positive:

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E. If you have trouble with sums, your calculator can help.

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Let us manually add the given numbers.

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PtichkaEL [24]

One thing everyone always forgets is we don't usually see the <em>entire</em> graph.  Once out of the frame, these functions can do anything they want.

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