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yKpoI14uk [10]
2 years ago
7

Find the volume of a cylinder with a diameter of 8 inches and a height that is three times radius

Mathematics
2 answers:
ollegr [7]2 years ago
6 0

Answer:

96π^2 = 947.48

Step-by-step explanation:

π × r² × h

8π times 3*4*π

Gnesinka [82]2 years ago
4 0

Answer: 603 cubic inches

Step-by-step explanation:

Let's find radius (r):

Diameter is double the radius, so the radius is 4 inches.

Let's find the height (h):

Height is 3 times the radius so the height is 12 inches.

Now let's find the volume:

V = πr^2 × h

V = π × 16 × 12

V = 603 cubic inches

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Consider the two triangles. Triangles W U V and X Z Y are shown. Angles V U W and Y X Z are congruent. Angles U W V and X Z Y ar
kenny6666 [7]

Answer:

B. Show that the ratios StartFraction U V Over X Y EndFraction and StartFraction W V Over Z Y EndFraction are equivalent, and ∠V ≅ ∠Y.

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2 years ago
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A pure acid measuring x liters is added to 300 liters of a 20% acidic solution. The concentration of acid, f(x), in the new subs
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Answer How many liters of a 20% acid solution should be mixed with 30 liters of 50% acid solution in order to obtain a 40% solution. ... x=15 liters 15*(.20 pure acid)=3 liters 30*(.50 pure acid)=15 liters That is 18 liters pure acid That is 45 liters solution *0.45 pure acid=18 liters.

As more pure acid is added, the concentration of acid approaches 0.

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1 year ago
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A new parking lot is being built for a medical office. The expression representing the number of parking spots in the new lot is
docker41 [41]

Answer:

111 spots

Step-by-step explanation:

Let y denote the total number of parking spots expressed as:

y=\frac{15x}{4}-9\\\\

Given that x is the number of spots in the first row.

-Now, given that the first row has 32 spots, we substitute in the expression to solve for y:

y=\frac{15x}{4}-9,\ \ x=32\\\\=\frac{15\times 32}{4}-9\\\\=120-9\\\\=111

Hence, there are 111 spots in the parking lot.

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1 year ago
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A website reports that 70% of its users are from outside a certain country, and 60% of its users logon the website every day. Su
JulijaS [17]

Answer:

The value is P (I |  L  )  =     0.63

The probability has increased

Step-by-step explanation:

From the question we are told that

   The percentage that are from outside the country is  P(O) =  0.70

    The  percentage that logs on everyday is  P(L) =  0.60

    The  percentage that logs on everyday that are from the inside the country is     P(L  |  I) =  0.80

Generally using Bayes' Rule the probability that a person is from the country given that he logs on the website every day is mathematically represented as

     P (I |  L  )  =  \frac{P(I)* P(L|I)}{ P(O) *P(L|O) + P(I) *P(L|I) }

Where  P(I) is the percentage that are from inside that country which is mathematically represented as

       P(I) =  1 -  P(O)

      P(I) =  1 -  0.70

      P(I) =  0.30

And P(L| O) is  percentage that logs on everyday that are from the outside  the country which is evaluated as

      P(L| O)  =  1-  P(L| I)

       P(L| O)  =  1-  0.80

       P(L| O)  = 0.20

P (I |  L  )  =  \frac{ 0.3* 0.80 }{ 0.7 *0.20 + 0.3 * 0.8 }    

P (I |  L  )  =     0.63

Given that the percentage that are from inside that country is  P(I) =  0.30

and that the probability that a person is from the country given that he logs on the website every day is  P (I |  L  )  =     0.63

We see that the additional information increased the probability

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1 year ago
Kyle is converting 13°F to °C. His work is shown. Is Kyle's answer correct? If not, find his mistake and determine the correct a
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<span><span>No, Kyle's answer is incorrect because he added 32 instead of subtracting. The correct answer is −11°C.</span></span>
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1 year ago
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