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Trava [24]
3 years ago
5

What is 6 8/15 as a percentage ( 6 and 8/15)

Mathematics
2 answers:
ivanzaharov [21]3 years ago
4 0

let's first off, convert the mixed fraction to improper fraction, and then to decimal and then to percent.


\bf \stackrel{mixed}{6\frac{8}{15}}\implies \cfrac{6\cdot 15+8}{15}\implies \stackrel{improper}{\cfrac{98}{15}} \\\\\\ \stackrel{\textit{on to decimal}}{98\div 15\implies 6.5\overline{3}}\implies \stackrel{\textit{on to percent}}{6.5\overline{3}\cdot 100\implies 653.\overline{3}\%}

Black_prince [1.1K]3 years ago
3 0

Answer:

6.53

Step-by-step explanation:

6*15+8=98\\98/15\\6.53

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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}

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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

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6 0
3 years ago
Read 2 more answers
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Igoryamba

Answer:

77.76 times

Step-by-step explanation:

The average distance of Neptune  from the sun

= 4.503  ×  10 ⁹  k m .

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Answer:

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make the y int -4 because it passes through (0,-4). to make perpendicular, apply same slope to new equation but change sign

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