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alexira [117]
4 years ago
5

If cone b has a volume of 256 cubic centimeters and a height of 16 centimeters, determine the radius of the cone. 48 cm 4√3 cm c

m 16 cm
Mathematics
2 answers:
Aneli [31]4 years ago
7 0
By definition, the volume of a cone is given by:
 v = (pi * r ^ 2 * h) / 3
 Where,
 r: radius
 h: height
 Clearing the radio we have:
 r = root ((3 * v) / (pi * h))
 Substituting values:
 r = root ((3 * (256)) / (3.14 * (16)))
 r = 3.91 cm
 Answer:
 
The radius of the cone is:
 
r = 3.91 cm
 
Note: a response option is missing
AlekseyPX4 years ago
7 0

Answer:

I recently got done with a quiz, and this was the answer I got, 16/3 cm.

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Robin has a certain number of dimes in his pocket. If the dimes were pennies, he would have $1.08 less than he has now. How many
laiz [17]

Answer:

Robin will have 12 dimes in his pocket.

Step-by-step explanation:

Since;

D = One dime = $0.1

P = One penny = $0.01

Amount to have less = $1.08

From the above, when a dime is changed to a penny, the amount held by Robin will decrease by $0.09. That is,

Decease in holding = D - P = $0.1 - $0.01 = $0.09

Therefore, we have:

Number of dimes = Amount to have less / Decease in holding = $1.08 / $0.09 = 12 dimes

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4 0
3 years ago
What is the explicit formula for this sequence?
SVEN [57.7K]

Answer:

The correct answer is b.)

Step-by-step explanation:

Given:

Sequence  -7, -4, -1, 2, 5.......  => a₁ = -7, a₂ = -4, a₃ = -1, a₄ = 2 and a₅ = 5

We conclude that this sequence is arithmetic series.

First we must find difference d:

d = a₂ - a₁ = a₃ - a₂ = -4 - (-7) = -1 - (-4) = -4 + 7 = -1 + 4 = 3

d = 3

The formula for n-th term of the arithmetic series is:

aₙ = a₁ + (n-1) d

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God with you!!!

4 0
3 years ago
The equation r=u/st is equivalent to u = rst.<br><br> True<br> False
Mkey [24]
False, it would end up being st / r
4 0
3 years ago
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Find the surface area of the following figure. Round answers to the nearest tenths.<br> 11 m<br> 5 m
Ganezh [65]

Answer:

502.7 meters squared

Step-by-step explanation:

The equation would be 2πrh+2πr^2. If you just plug in the radius and height you will get 502.65. Round it up and you will get 502.7.

8 0
3 years ago
5+2 root 3 / 7+4 root 3 =a-6root3
STALIN [3.7K]

Answer:

<h2>a = 11</h2>

Step-by-step explanation:

\dfrac{5+2\sqrt3}{7+4\sqrt3}\qquad\text{use}\ (a+b)(a-b)=a^2-b^2\\\\=\dfrac{5+2\sqrt3}{7+4\sqrt3}\cdot\dfrac{7-4\sqrt3}{7-4\sqrt3}=\dfrac{(5+2\sqrt3)(7-4\sqrt3)}{7^2-(4\sqrt3)^2}\qquad\text{use FOIL}\\\\=\dfrac{(5)(7)+(5)(-4\sqrt3)+(2\sqrt3)(7)+(2\sqrt3)(-4\sqrt3)}{49-4^2(\sqrt3)^2}\\\\=\dfrac{35-20\sqrt3+14\sqrt3-8(3)}{49-(16)(3)}=\dfrac{(35-24)+(-20\sqrt3+14\sqrt3)}{49-48}\\\\=\dfrac{11-6\sqrt3}{1}=11-6\sqrt3

8 0
3 years ago
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