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Kitty [74]
2 years ago
10

Need help on the middle question

Mathematics
2 answers:
Katarina [22]2 years ago
8 0
The formula for the volume of a cylinder is V= a X h 
Where a is the are of base and h is height. The base is a circle, so a= pi r^2
471=3.14 (r^2)(6) Divide both sides by 6, then 3.14
   25   =r^2   Your next step would be to find the square root of 25
5=r  Now you know the radius of the circle, but it asks for diameter. The radius is half of the diameter, so 5 X 2= 10. Your answer would be 10

lesya692 [45]2 years ago
6 0
V= pi * r^2 * h
471 = 3.14 * r^2 *6
471 = 18.84 * r^2
25 = r^2
Sqrt25 = r
5 = r
D= 2*5
D= 10in
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Step-by-step explanation:

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Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the corre
Novay_Z [31]

Answer:  3+\sqrt{2}

Step-by-step explanation:

Given the following expression shown in the picture:

\frac{7}{3-\sqrt{2} }

You need to use a process called "Ratinalization".

By definition, using Rationalization you can rewrite the expression in its simplest form so there is not Radicals in its denominator.

Then, in order to simplify the expression, you can follow the following steps:

<em>Step 1</em>. You need to multiply the numerator and the denominator of the fraction by  3+\sqrt{2}, which is the conjugate of the denominator  3-\sqrt{2}.

<em>Step 2</em>. Then you must apply the Distributive property in the numerator.

<em>Step 3</em>. You must apply the following property in the denominator:  (a+b)(a-b) = a^2 - b^2

Therefore, applying the procedure shown above, you get:

=\frac{(7)(3+\sqrt{2})}{(3-\sqrt{2})(3+\sqrt{2})}=\frac{21+7\sqrt{2}}{3^2-(\sqrt{2})^2}=\frac{21+7\sqrt{2}}{9-2}=\frac{21+7\sqrt{2}}{7}

<em>Step 4</em>.  You can observe that the expression can be simplified even more. Since:

 \frac{a+b}{c}=\frac{a}{c}+\frac{b}{c}

You get:

\frac{21+7\sqrt{2}}{7}=\frac{21}{7}+\frac{7\sqrt{2}}{7}=3+\sqrt{2}

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Find the probability if two dice are rolled. (Enter the value of probability in decimals. Round the answer to three decimal plac
enyata [817]

The probability of getting a total of 8 when two dice are rolled is 0.139 when the answer is rounded to three decimal places.

<h3>What is meant by Probability?</h3>

Numerous uses of mathematics' probability formula may be found. Probability can be used, for instance, to determine the likelihood that a certain marketing would really be successful in generating fresh customers. Calculating the likelihood of something happening is another use of probability.

Let's examine what probability is, how to compute the probabilities of single and many random occurrences, and how the terms probability and odds vary from one another.

The likelihood that an event like rolling two dice will occur is determined by probability:

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The probability is P(getting a total of 8 from both dices)=5/36= 0.139.

To learn more about Probability, visit:

brainly.com/question/23554593

#SPJ4

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