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Volgvan
3 years ago
11

Find the exact circumference of a circle with diameter equal to 8 ft

Mathematics
2 answers:
lina2011 [118]3 years ago
6 0
The formula for circumference is C= 2(pi)(r)^2. Because diameter is double the radius, and the diameter is 8 ft, the radius is 4 ft. So, plug that into the equation, and you get: C=2(pi)(4)^2. The answer is 32 pi ft. If the question asks for the exact answer, keep the pi as it is, but if it says to round, multiply 32 by pi and round.
Nata [24]3 years ago
4 0

Answer:

Diameter = 8 ft

Circumference = πD

Circumference = 22/7 × 8 = 25.14 ft

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oee [108]

9514 1404 393

Answer:

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Step-by-step explanation:

The points all lie on a straight line. The relationship is linear.

6 0
3 years ago
5+25+125+625+3125+15625 rewrite each series using sigma notation
Trava [24]
1. You have that the series is: <span>5+25+125+625+3125+15625
 2. You must find the ratio (r) between the adjacent members. Then, you have:

 25/5=5
 125/25=5
 625/125=5
 3125/625=5
 15625/3125=5

 3. Therefore, the ratio is:

 r=5

 4. Then, each term has te form 5</span>^k. <span>So, you have:

 5</span><span>^1=5
</span> 5<span>^2=25
</span> 5<span>^3=125
</span> 5<span>^4=625
</span> 5<span>^5=3125
</span> 5<span>^6=15625

 5. As you can see, "k" goes from 1 to 6.

 6. The answer is shown in the image attached.</span>

8 0
3 years ago
Use appropriate algebra and theorem 7. 2. 1 to find the given inverse laplace transform. (write your answer as a function of t.
ollegr [7]

The given function s/(s^2 +3s -4) is proved with the help of inverse Laplace theorem.

According to the statement

we have to find the inverse of the Laplace theorem with the help pf the given theorem in the statement.

So, For this purpose, we know that the

Laplace transformation is a transformation of a function f(x) into the function g(t) that is useful especially in reducing the solution of an ordinary linear differential equation with constant coefficients to the solution of a polynomial equation.

Now, We assume you want to find the inverse transform of s/(s^2 +3s -4).

This can be written in partial fraction form as

\frac{(4/5)}{(s+4)} + \frac{(1/5)}{(s-1)}

which can be found in a table of transforms to be the transform of

\frac{4}{5} e^{-4t} + \frac{1}{5} e^t

There are a number of ways to determine the partial fractions. They all start with factoring the denominator.

s^2 +3x -4 = (s+4)(s-1)

After that, you can postulate the final form and determine the values of the coefficients that make it so.

For example:

\frac{A}{(s+4)}  + \frac{B}{s-1}  = (A+B)s + \frac{(4B-A)}{(s^2 +3x -4)}

This gives rise to two equations:

(A+B) = 1

(4B-A) = 0.

So, The given function s/(s^2 +3s -4) is proved with the help of inverse Laplace theorem.

Disclaimer: This question was incomplete. Please find the full content below.

Question:

Use appropriate algebra and theorem 7.2.1 to find the given inverse laplace transform. (write your answer as a function of t.) ℒ−1 s s2 + 3s − 4.

Learn more about Laplace here

brainly.com/question/11630973

#SPJ4

3 0
2 years ago
PLEASEEEEEEE HELPPPPPP
Zinaida [17]

Answer:

bajajakakakakkakakskakallalalalalallakakakaka

Step-by-step explanation:

hey ypuuuuuuuuuuuuuuuuuuuuu is opción a hajajakskamqmsjkwkqkqkqkwnanannanaan

8 0
3 years ago
Which equation represents a line parallel to 3x-8y=12?
TEA [102]

Answer:

B. y = -3/8x - 4

Step-by-step explanation:

Given equation: 3x - 8y = 12

Find a parallel line that matches one of the equations shown.

First, find the slope by solving for y:

3x - 8y = 12

8y = -3x + 12

y = -3/8x + 12/8

y = -3/8x + 3/2

Slope m = -3/8

Since the slope of a line parallel is the same slope, the only equation that fits the conditions is B because in the form y = mx + b, m = -3/8

5 0
3 years ago
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