All categories

4 years ago

MY

Mathematics

1 answer:

Lelechka [254]4 years ago

6 0

Step-by-step explanation:

Hi, there!!!

According to the question we must find the area of shaded region, but we must find area of circle and rectangle to find area of shaded region, 

So, let's simply work with it, 

Firstly, finding the area of rectangle, 

length = 11cm.

breadth = 11cm.

now, area= length× breadth.

or, a = 11cm× 11cm.

a= 121cm^2

Now, let's work out the area of circle.

radius= 5cm

and pi. = 3.14 {using pi value as 3.14}

now,

 area of a circle = pi× r^2

or, a= 3.14×5^2

or, a = 78.5 cm^2.

Therefore, The area of a circle is 78.5cm^2.

Now lastly finding the area of shadedregion, 

area of shaded region = area of rectangle - area of circle. 

or, area of shaded region = 121cm^2 - 78.5cm^2

Therefore, the area of shaded region is 42.5 cm^2.

Hope it helps...

You might be interested in

Estimate 58% of 112 using benchmark percents. Explain your answer.

vitfil [10]

Answer:

64.96

Step-by-step explanation:

The most common benchmark percents are $0\% , 10\% , 25\% , 50\% , 75\%$ and $100\%$

We are given $58\%$ which is closest to $50\%$ .

Now we calculate $50\% \ of \ 112$ which is equal to $56$ .

We are left with $8\%$ more to add.

We can say $1\% \ of \ 112 \ is\ 1.12$

Therefore $8\% \ of \ 112 \ would \ be \ 1.12\times8=8.96$

Now add the two.

$56+8.96= 64.96$

Thus 64.96 is the answer.

3 0

3 years ago

Which set dose - 4/9 belong A integers B whole numbers C natural numbers D rational numbers

Mrac [35]

Answer:

-4/9 is a rational number

Step-by-step explanation:

Rational numbers are the numbers you can make by dividing one integer by another, so in other words a fraction.

4 0

3 years ago

Read 2 more answers

A psychologist is interested in constructing a 99% confidence interval for the proportion of people who accept the theory that a

Leona [35]

Answer:

B is correct i think

Step-by-step explanation:

4 0

3 years ago

Find a particular solution to the nonhomogeneous differential equation y′′+4y=cos(2x)+sin(2x).

I am Lyosha [343]

Take the homogeneous part and find the roots to the characteristic equation:

$y''+4y=0\implies r^2+4=0\implies r=\pm2i$

This means the characteristic solution is $y_c=C_1\cos2x+C_2\sin2x$ .

Since the characteristic solution already contains both functions on the RHS of the ODE, you could try finding a solution via the method of undetermined coefficients of the form $y_p=ax\cos2x+bx\sin2x$ . Finding the second derivative involves quite a few applications of the product rule, so I'll resort to a different method via variation of parameters.

With $y_1=\cos2x$ and $y_2=\sin2x$ , you're looking for a particular solution of the form $y_p=u_1y_1+u_2y_2$ . The functions $u_i$ satisfy

$u_1=\displaystyle-\int\frac{y_2(\cos2x+\sin2x)}{W(y_1,y_2)}\,\mathrm dx$
$u_2=\displaystyle\int\frac{y_1(\cos2x+\sin2x)}{W(y_1,y_2)}\,\mathrm dx$

where $W(y_1,y_2)$ is the Wronskian determinant of the two characteristic solutions.

$W(\cos2x,\sin2x)=\begin{bmatrix}\cos2x&\sin2x\\-2\cos2x&2\sin2x\end{vmatrix}=2$

So you have

$u_1=\displaystyle-\frac12\int(\sin2x(\cos2x+\sin2x))\,\mathrm dx$
$u_1=-\dfrac x4+\dfrac18\cos^22x+\dfrac1{16}\sin4x$

$u_2=\displaystyle\frac12\int(\cos2x(\cos2x+\sin2x))\,\mathrm dx$
$u_2=\dfrac x4-\dfrac18\cos^22x+\dfrac1{16}\sin4x$

So you end up with a solution

$u_1y_1+u_2y_2=\dfrac18\cos2x-\dfrac14x\cos2x+\dfrac14x\sin2x$

but since $\cos2x$ is already accounted for in the characteristic solution, the particular solution is then

$y_p=-\dfrac14x\cos2x+\dfrac14x\sin2x$

so that the general solution is

$y=C_1\cos2x+C_2\sin2x-\dfrac14x\cos2x+\dfrac14x\sin2x$

7 0

3 years ago

What's the area of this?

Alex17521 [72]

Answer:55 CJ ^2

Step-by-step explanation:

4 0

3 years ago