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3 years ago

How much of the circle is shaded? Write your answer as a fraction in simplest form. 1/3 and 3/7

Mathematics

1 answer:

Marina86 [1]3 years ago

4 0

1 over the 3 + 7 x 5 5.6

multiplyn 1.3

divide 5.6

subtract 0.3

answer is 1/5

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Jackie and a classmate spent a total of 20 hrs working on a chemistry project. Jackie’s classmate spent 2 hrs less time working

valina [46]

Answer:

x = 11

Step-by-step explanation:

x + (x - 2) = 20

2x - 2 = 20

2x - 2 + 2 = 22 + 2

2x = 22

x = 11

7 0

3 years ago

A rain gutter is made from sheets of aluminum that are 20 inches wide by turning up the edges to form right angles. Determine th

marishachu [46]

20in flat -> 2 sides of 10in at 90degrees from eachother

area would be 10*10/2 =50in^2

4 0

3 years ago

Differentiating a Logarithmic Function in Exercise, find the derivative of the function. See Examples 1, 2, 3, and 4.

kotykmax [81]

Answer:

$f'(x) = -\frac{2x}{1 - x^{2}}$

Step-by-step explanation:

The derivative of an addition/subtraction of terms is the addition/subtraction of the derivatives of these terms.

The derivative of a constant is 0.

The derivative of $a*x^{n}$ is $a*n*x^{n-1}$ . The derivative of $x^{3}$ is $3x^{2}$ , for example.

The derivative of the ln function:

If we have:

$y = \ln{g(x)}$

The derivative is

$y' = g'(x)*\frac{1}{g(x)}$

In this problem, we have that:

$y = \ln{1 - x^{2}}$

So $g(x) = 1 - x^{2}$ and $g'(x) = -2x$

So the derivative to this function is

$f'(x) = -\frac{2x}{1 - x^{2}}$

8 0

3 years ago

Use cylindrical coordinates. evaluate x dv e , where e is enclosed by the planes z = 0 and z = x + y + 10 and by the cylinders x

gizmo_the_mogwai [7]

In cylindrical coordinates,

$\begin{cases}x(X,Y,Z)=X\cos Y\\y(X,Y,Z)=X\sin Y\\z(X,Y,Z)=Z\end{cases}\implies\mathrm dV=\mathrm dx\,\mathrm dy\,\mathrm dz=X\,\mathrm dX\,\mathrm dY\,\mathrm dZ$

Then the integral is

$\displaystyle\iiint_Ex\,\mathrm dV=\int_{Y=0}^{Y=2\pi}\int_{X=4}^{X=6}\int_{Z=0}^{Z=X\cos Y+X\sin Y+10}X\cos Y\times X\,\mathrm dZ\,\mathrm dX\,\mathrm dY$
$=\displaystyle\int_{Y=0}^{Y=2\pi}\int_{X=4}^{X=6}(10X^2\cos Y+X^3\cos^2Y+X^3\cos Y\sin Y)\,\mathrm dX\,\mathrm dY$
$=\displaystyle\int_{Y=0}^{Y=2\pi}\left(\dfrac{1520}3\cos Y+260\cos^2Y+260\cos Y\sin Y\right)\,\mathrm dY=260\pi$

5 0

3 years ago

Find the area of the regular polygon,2√3 and 5

OLga [1]

Answer

Correct option is

5 cm

△ABC is an equilateral △

∴Area=

=75

⟹ a

=300

a=10

AM=MC=

Area =

×AC×BM

×10

×BM

∴BM=15cm

△AOC,△BOC and △AOB are of equal area

∴ar(△AOC)=

ar(△ABC)=

×75

=25

In △AOC,

ar(△AOC)=

×AC×OM

⇒25

×10

×OM

∴OM=5cm Ans.

4 0

2 years ago