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Triss [41]
3 years ago
13

The lateral surface area of a cylinder is given by the formula S=2 \pirh. Solve the equation for r.

Mathematics
2 answers:
Nastasia [14]3 years ago
8 0
S = 2 * (pi) * r * h.....for r
divide both sides by 2 * pi * h
s / (2(pi)h = r

Ksivusya [100]3 years ago
3 0
<h2>Answer:</h2>

The equation for r is given by:

                  r=\dfrac{S}{2\pi h}

<h2>Step-by-step explanation:</h2>

It is given that:

The lateral surface area of a cylinder is given by the formula S=2πrh.

where π is an irrational number. r denotes the radius of the base of the cylinder and h denote the height of the cylinder.

Now, we are asked to solve for r.

i.e. we need to express r in terms of other variables with the help of the given formula.

Hence, we get:

                          r=\dfrac{S}{2\pi h}

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Which expression represents this word phrase?<br><br> five more than the product of x and 6
disa [49]

<u><em>Answer:</em></u>

<u>The expression is:</u> 6x + 5

<u><em>Explanation:</em></u>

Product means <u>multiplication</u>

Therefore, the product of x and 6 means that we will multiply x by 6

<u>This would give us:</u> 6x

Now, five more than the product means that we will <u>add</u> 5 to the product we just obtained

<u>This means that:</u>

<u>five more than the product of x and 6 is:</u>

6x + 5

Hope this helps :)

3 0
3 years ago
One day at football practice, Darrell, the kicker, punted the ball so that its height in feet above the ground was given by the
nika2105 [10]

When the football is 81 feet high, it will be √  3 / 8 seconds

<h3>Function</h3>

Function relates input to output. Therefore,

  • h(t)  = - 16t² + 75

Therefore,

t = number of seconds

h(t) = - 16t² + 75

h(t) = 81 ft

Therefore,

81 = - 16t² + 75

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divide both sides by -16

t² = 6 / -16

t² = - 3 / 8

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6 0
2 years ago
The selling price of a​ refrigerator, is ​$ 796.40 . If the markup is 10 % of the​ dealer's cost, what is the​ dealer's cost of
8_murik_8 [283]

The final price (what it is selling for) is $796.40

The markup is 10% of the original price (the dealer's cost) , meaning that it is 10% more.

We need to find the original price.

We write this as an equation

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This is because the original price is itself (100%) added with 10%

Plug in the known final price

Original Price * 110% = 796.40

Convert 110% to a decimal because the other numbers- such as the final price are also decimal numbers.

Convert 110% to a decimal by moving the decimal point up 2 spaces ( basically dividing it by 100)

110% = 1.1

So it is now

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3 years ago
In the derivation of Newton’s method, to determine the formula for xi+1, the function f(x) is approximated using a first-order T
dimaraw [331]

Answer:

Part A.

Let f(x) = 0;

suppose x= a+h

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By second order Taylor approximation, we get

f(a) + hf'±(a) + \frac{h^{2} }{2!}f''(a) = 0

h = \frac{-f'(a) }{f''(a)} ± \frac{\sqrt[]{(f'(a))^{2}-2f(a)f''(a) } }{f''(a)}

So, we get the succeeding equation for Newton's method as

x_{i+1} = x_{i} + \frac{1}{f''x_{i}}  [-f'(x_{i}) ± \sqrt{f(x_{i})^{2}-2fx_{i}f''x_{i} } ]

Part B.

It is evident that Newton's method fails in two cases, as:

1.  if f''(x) = 0

2. if f'(x)² is less than 2f(x)f''(x)    

Part C.

In case  x_{i+1} is close to x_{i}, the choice that shouldbe made instead of ± in part A is:

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Part D.

As given x_{i+1} = x_{i} = h

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We get,

f(a) + hf'(a) +(h²/2)f''(a) = 0

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So,                f(a) + hf'(a) - (f''(a)/2)(hf(a)/f'(a)) = 0

It becomes   h = -f(a)/f'(a) + (h/2)[f''(a)f(a)/(f(a))²]

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The blue bounces 3 times and gets tossed

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Read 2 more answers
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