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2 years ago

The circumference of a circle is 28 x inches. What is the length of the radius of this circle?

Mathematics

1 answer:

Gala2k [10]2 years ago

7 0

Answer:

The answer to your questions radius = 14 in

Step-by-step explanation:

Data

Circumference = 28π in

radius = ?

Circumference is defined as the distance around the edge of a circle.

Formula

Circumference = 2π radius

-Solve for radius

radius = Circumference /2π

-Substitution

radius = 28π / 2π

-Simplification

radius = 28/2

-Result

radius = 14 in

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Use the given transformation to evaluate the integral. 9 x − 3y 2x − y dA, R where R is the parallelogram enclosed by the lines

hichkok12 [17]

$\displaystyle\iint_R(9x-3y)(2x-y)\,\mathrm dA$

$\begin{cases}u=x-3y\\v=2x-y\end{cases}\implies\begin{cases}x=\frac{3v-u}5\\y=\frac{v-2u}5\end{cases}\implies\mathrm dA=|\det J|\,\mathrm du\,\mathrm dv$

where $J$ is the Jacobian matrix for the transformation,

$J=\begin{bmatrix}u_x&u_y\\v_x&v_y\end{bmatrix}=\begin{bmatrix}-\dfrac15&\dfrac35\\\\-\dfrac25&\dfrac15\end{bmatrix}\implies|\det J|=\dfrac15$

We have

$9x-3y=8x+x-3y=\dfrac85(3v-u)+u=\dfrac{24v-3u}5$

so that the integral is

$\displaystyle\frac1{25}\int_9^{10}\int_0^{10}(24v-3u)v\,\mathrm du\,\mathrm dv=\boxed{\frac{4051}5}$

5 0

3 years ago

I need help on number 8

Alexxandr [17]

Answer:

D I believe

Step-by-step explanation:

3 0

2 years ago

I have been stuck on this forever plz help <br> What is the surface area of this cylinder

Andrei [34K]

Answer:

1865.16 m^2

Step-by-step explanation:

first let 's find radius of a circle

radius=diameter/2

=18/2

=9 m

area of a cylinder=2πrh+2πr2

=2*3.14*9*24 + 2*3.14*(9)^2

=1356.48 + 2*3.14*81

=1356.48 + 508.68

=1865.16 m^2

6 0

2 years ago

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Which equation represents a line that passes through the two points in the table x 1,5 and y 1,6

aleksandrvk [35]

For this case we must find a linear equation of the form:

$y = mx + b$

Where,

m: slope of the line

b: cutting point with vertical axis.

For the slope we have the following equation:

$m = \frac {y_ {2} -y_ {1}} {x_ {2} -x_ {1}}$

Substituting values we have:

$m = \frac {6-5} {1-1}\\m = \frac {1} {0}$

We observe that the slope of the line is not defined.

Therefore, the line is vertical.

Thus, the equation of the line is given by:

$x = 1$

Answer:

The equation of the line is given by:

$x = 1$

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3 years ago

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withdraws $ from bank account once each day for days. What integer represents the change in the amount in the account? Use pen

REY [17]

Answer:

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He does this 4 times so;

= 4 * -11

= -$44

b. He then deposits $11 once every day for 4 days.

= 4 * 11

= $44

c. The integer for withdrawals is a negative figure to show that the balance was decreasing. The Integer for deposits is positive to show that the balance was increasing.

4 0

2 years ago