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Olenka [21]
3 years ago
7

The cylinder and the sphere below have the same radius and the same volume. What is the height of the cylinder?

Mathematics
1 answer:
lyudmila [28]3 years ago
4 0

Answer:

Height of cylinder (h) = (4/3)R

Step-by-step explanation:

Given:

Radius of cylinder (r1) = R

Height of cylinder (h) = H

Radius of sphere (r2) = R

Volume of cylinder = volume of sphere

Find:

Height of cylinder (h) = H = ?

Computation:

Volume\ of\ cylinder = volume\ of\ sphere\\\\ \pi (r1)^2h =\frac{4}{3} \pi (r2)^3\\\\\pi (R)^2h =\frac{4}{3} \pi (R)^3\\\\ h=\frac{4}{3}  (R)

Height of cylinder (h) = (4/3)R

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Tobias sent a chain letter to his friends, asking them to forward the letter to more friends. The number of people who receive t
malfutka [58]

Answer:

  • P(t)=37\times (4)^{(t/9.1)}

Explanation:

The number of emails is multiplied by <em>4</em> every <em>9.1 weeks.</em>

Thus, since <em>Tobias initially sent the chain letter to 37 friends</em>, the number of letters will grow as per this geometric series:

Start:        37 letters

  • In 9.1 weeks: 37 × 4

  • In 2 × 9.1 weeks: 37 × (4)²

  • In 3 × 9.1 weeks: 37 × (4)³

As you see, the exponent is the number of weeks divided by 9.1

Thus, if your variable is the number of weeks, t, then the exponent is t/9.1

And the exponential function, P(t) will be:

   P(t)=37\times (4)^{(t/9.1)}

3 0
3 years ago
X to the power of 2+ 2X plus 3X to the power of 2+ 4X subtract 2X to the power of 2+ X
eimsori [14]

Answer:

4x+12

Step-by-step explanation:

2x + 2 \times  { }^{2}  + 6x + 12 x ^{2}  - 4x +  - 2x ^{2}

8 0
3 years ago
If mRS=x then write an equation that could be used to solve for x and find the value of x
Fed [463]

Answer:

a) x = 30°

b) mRS = x = 30°

mST = 4x = 4(30°) = 120°

mTU = 4x = 4(30°) = 120°

mUR = 3x = 3(30°) = 90°

Question:

The complete question as found on Chegg website:

In the diagram below, secants PT and PU have been drawn from exterior point P such that the four arcs

intercepted have the following ratio of measurements:

mRS : mST :MTU : mUR=1:4:4:3

(a) If mRS = x, then write an equation that could be used to solve for x

and find the value of x.

(b) State the measure of each of the four arcs.

mRS =

mST =

MTU

MUR =

Step-by-step explanation:

Find attached the diagram related to the question

mRS : mST : mTU : mUR = 1:4:4:3

Since mRS = x

Writing the ratios of the measure of angle in terms of mRS:

mST = 4× mRS = 4×x = 4x

mTU = 4× mRS = 4×x = 4x

mUR= 3× mRS = 3×x = 3x

The sum of measure the 4 measures of arc = 360° (sum of angle in a circle)

mRS + mST + mTU + mUR = 360°

x + 4x + 4x + 3x = 360

12x = 360

x = 360/12

x = 30°

b) The measure of angle

mRS = x = 30°

mST = 4x = 4(30°) = 120°

mTU = 4x = 4(30°) = 120°

mUR = 3x = 3(30°) = 90°

6 0
3 years ago
HELP!! let f be defined as shown. what is f^-1(-3)?
Assoli18 [71]

Answer:

F is the base or variable.

if it is asking for a simplifed version of this its -3/f

Step-by-step explanation:

3 0
2 years ago
Y is six more than x divided by three <br><br> turn it into an expression (y=mx+b format)
Snowcat [4.5K]

We always start from right side in order of operation in any equation

we can set up equation as

step-1:

x divided by three

we can write as

=\frac{x}{3}

step-2:

six more than x divided by three

so, we get

=\frac{x}{3}+6

step-3:

y is six more than x divided by three

so, we get

y=\frac{x}{3}+6

and this is in y=mx+b form

so, we have

y=\frac{x}{3}+6...............Answer


4 0
3 years ago
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