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kompoz [17]
3 years ago
5

The density of oxygen is 0.001429 grams per cubic centimeter. How is this number written in

Mathematics
1 answer:
Anika [276]3 years ago
7 0

We have been given that the density of oxygen is 0.001429 grams per cubic centimeter. We are asked to write the given number in scientific notation.

To convert a number into scientific notation, we write the given number as product of two numbers. One factor is a number between 1 and 10, while the 2nd factor is power of 10.  

When a decimal is to the left of given number, then we need to move the decimal to right such that the number gets between 1 and 10. Then, we multiply the number by negative power of 10 that many times, we moved the decimal to right.    

We can see that decimal is to left of our number. To place decimal after 1, we have to multiply 10 to 3 times. To keep the value of number same we will multiply the same negative power (negative 3).

0.001429\times 10^3\times 10^{-3}

(0.001429\times 10^3)\times 10^{-3}

(1.429)\times 10^{-3}

1.429\times 10^{-3}

Therefore, the number 0.001429 will be 1.429\times 10^{-3} in scientific notation.

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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
Read 2 more answers
AB = 4 - 5x and BC = 2x+ 25 <br> X= 7
elena-14-01-66 [18.8K]

Answer:

x= - AB-4/5 and No Solution

False for all xER

Step-by-step explanation:

3 0
3 years ago
Solve pls brainliest
navik [9.2K]

Answer:

You can use the scale factor to determine if a picture is an enlargement if the scale factor is greater than 1. If it is less than 1 like 0.9 then the picture would be a reduction because you would be multiplying the number by a number smaller than 1. Now if we have a scale factor greater than 1 let's say 3. Then the picture would be an enlargement because the number is greater than 1.

Step-by-step explanation:

7 0
2 years ago
What is the approximate perimeter?
vladimir1956 [14]
300^2 + 500^2 = c^2
9000 + 250000=c^2
340000=c^2
sqrt (340000) = c
c = 583
300 + 500 + 583 = 1383
1380 is the perimeter
8 0
2 years ago
You need to buy 12 pounds of chicken for a barbecue that you are planning. You found an ad in the Northwest Florida Daily News t
Keith_Richards [23]

Answer:

yes

Step-by-step explanation:

The difference in the cost per pound is $6.

For 12 lb, the total difference in $6 × 12 = $72.

If the Fresh Market is close enough and you have the time, it is worth the drive since you will save $72.

5 0
2 years ago
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