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3 years ago

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Sara goes on a slingshot ride in an amusement park. She is strapped into a spherical ball that has a radius 3*10^2 of centimeter

s. What is the volume of air in the spherical ball? Use this formula:volume of a sphere=4/3pi,r^3 , where r is the sphere’s radius.

2 answers:

zmey [24]3 years ago

7 0

9.4238587689846999_(

anastassius [24]3 years ago

5 0

The answer is 9.42385

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What is least to greatest 2/8 2/1 3/4 5/6 7/6

yKpoI14uk [10]

Answer:

2/8, 3/4, 5/6, 7/6, 2/1

Step-by-step explanation:

To convert the fractions into ascending order (least to greatest):

1. Determine the LCM (Least common multiple) of the denominators.

2. Then, using the LCM, multiply such number to the denominators such that the product is equivalent to the LCM of the denominators.

Note: The number we multiply to the denominator must also be multiplied to the numerator.

3. Finally, create the set, in ascending order.

<h3>Determine the LCM of the denominators:</h3>

Given fraction set;

$\dfrac{2}{8} ; \ \dfrac{2}{1}; \ \dfrac{3}{4}; \ \dfrac{5}{6};\ \dfrac{7}{6}$

Therefore, the denominators of the fraction set are;

$\implies \text{Denominators: 8, 1, 4, 6, 6}$

Determining the LCM using Division method;

$\ \ \underline{................}\\2\underline{| 8, 1, 4, 6, 6}\\ 2\underline{|4, 1, 2, 3, 3} \\ 2\underline{|2,1,1,3,3} \\3 \underline{|1, 1,1,1,1}$

LCM of denominators: 2 × 2 × 2 × 3 = 24

<h3>Multiplying the denominators:</h3>

LCM of denominators: 24

<u>Multiply such number such that the denominators are equivalent to 24.</u>

$\implies \dfrac{2}{8} ; \ \dfrac{2}{1}; \ \dfrac{3}{4}; \ \dfrac{5}{6};\ \dfrac{7}{6}$

$\implies \dfrac{2 \times 3}{8 \times 3} ; \ \dfrac{2 \times 24}{1 \times 24} ; \ \dfrac{3 \times 6}{4 \times 6} ; \ \dfrac{5 \times 4}{6 \times 4} ; \ \dfrac{7 \times 4}{6 \times 4}$

$\implies \dfrac{6}{24} ; \ \dfrac{48}{24} ; \ \dfrac{18}{24} ; \ \dfrac{20}{24}; \ \dfrac{28}{24}$

<h3>Creating the set, in ascending order;</h3>

<u>Simply compare the fractions and put them in "smallest to biggest" order.</u>

$\implies \dfrac{6}{24} ; \ \dfrac{48}{24} ; \ \dfrac{18}{24} ; \ \dfrac{20}{24}; \ \dfrac{28}{24}$

$\implies \dfrac{6}{24} < \dfrac{18}{24} < \dfrac{20}{24} < \dfrac{28}{24} < \dfrac{48}{24}$

$\implies \dfrac{6}{24} \ \ \huge{\text{(}\dfrac{2}{8} } \text{)}; \ \dfrac{18}{24} \ \huge{\text{(}\dfrac{3}{4}\huge{\text{)} ; \ \dfrac{20}{24} \ \huge{\text{(}\dfrac{5}{6} \huge{\text{)} ; \ \dfrac{28}{24} \ \huge{\text{(} \dfrac{7}{6} \huge{\text{)}; \ \dfrac{48}{24} \ \huge{\text{(} \dfrac{2}{1} \huge{\text{)}$

Therefore, the set, in ascending order, is 2/8, 3/4, 5/6, 7/6, 2/1

Learn more about this topic: <u>brainly.com/question/27432239</u>

8 0

2 years ago

Which decimal is equivalent to 180⁄333? A. 1.24 B. 1.240 C. 1.24024 D. 1.240

Elis [28]

Answer:

The correct answer is 0.541, however it isn't a choice you provided, hope that is still able to help you in some way!

6 0

2 years ago

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The graph of the function f(x)= x2 − 4x + 6 is shown here. What is its axis of symmetry?

alisha [4.7K]

X=-b/2a

x = 4/2=2

..................

6 0

2 years ago

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If point A is located at (-7,5) and is rotated around 270 clockwise about the origin, then point A' is located at...

jonny [76]

Answer:

B.(-5,-7)

Step-by-step explanation:

According to the rule of rotation if you were to have a 270* clockwise you would first switch the x and y values. Ex: (-7,5) -> (5,-7). next you would make the original y coordinate a negative. (5,-7) -> (-5,-7).

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3 years ago

During a huge snowstrom in the white mountains last year, it snowed 300 centimeters in a week.How much did it snow in meters?

OLga [1]

3 Metres; because for each 100 centimetres there is one metre. With centi- being the prefix for 10^-2 in the metric system.

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