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3 years ago

Factorise 80a^3-5ab2

Mathematics

1 answer:

VikaD [51]3 years ago

4 0

Step-by-step explanation:

Please see difference in both the answers

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Find the theoretical probability of rolling a number cube labeled 1-12 and it landing on 7.

Rashid [163]

Answer:

1/12

Step-by-step explanation:

There are 12 sides, and 7 is one of them. Therefore, there is a 1/12 chance of it landing on that side if it is a fair cube.

3 0

3 years ago

In a busy period you are required to use the support

Alex

Answer:

what are the details

Step-by-step explanation:

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4 years ago

A rectangle is placed around a semicircle as shown below. The length of the rectangle is 8 cm. Find the area of the shaded regio

icang [17]

Answer:

Area of the shaded region = 6.88 cm²

Step-by-step explanation:

Area of the shaded region = Area of the rectangle - Area of the semicircle

Area of the rectangle = Length × Width

Length of the rectangle = AD = 8 cm

Width of the rectangle = OP = 4 cm [OP, OB and OC are the radii of the circle which are equal in measures]

Area of the rectangle = 8 × 4 = 32 cm²

Area of the semicircle = $\frac{1}{2}\pi r^{2}$

= $\frac{1}{2}\pi (OP)^{2}$

= $\frac{1}{2}\pi (4)^{2}$

= 25.12 cm²

Area of the shaded region = 32 - 25.12

= 6.88 cm²

3 0

3 years ago

Solve the given initial-value problem. the de is of the form dy dx = f(ax + by + c), which is given in (5) of section 2.5. dy dx

shutvik [7]

$\dfrac{\mathrm dy}{\mathrm dx}=\cos(x+y)$

Let $v=x+y$ , so that $\dfrac{\mathrm dv}{\mathrm dx}-1=\dfrac{\mathrm dy}{\mathrm dx}$ :

$\dfrac{\mathrm dv}{\mathrm dx}=\cos v+1$

Now the ODE is separable, and we have

$\dfrac{\mathrm dv}{1+\cos v}=\mathrm dx$

Integrating both sides gives

$\displaystyle\int\frac{\mathrm dv}{1+\cos v}=\int\mathrm dx$

For the integral on the left, rewrite the integrand as

$\dfrac1{1+\cos v}\cdot\dfrac{1-\cos v}{1-\cos v}=\dfrac{1-\cos v}{1-\cos^2v}=\csc^2v-\csc v\cot v$

Then

$\displaystyle\int\frac{\mathrm dv}{1+\cos v}=-\cot v+\csc v+C$

and so

$\csc v-\cot v=x+C$

$\csc(x+y)-\cot(x+y)=x+C$

Given that $y(0)=\dfrac\pi2$ , we find

$\csc\left(0+\dfrac\pi2\right)-\cot\left(0+\dfrac\pi2\right)=0+C\implies C=1$

so that the particular solution to this IVP is

$\csc(x+y)-\cot(x+y)=x+1$

5 0

3 years ago

Estimated m 60=4m 4x0=

11111nata11111 [884]

[ Answer ]

M = 15

4 * 0 = 0

[ Explanation ]

60 / 4 = 15

15 * 4 = 60

4 * 0 = 0

<> Eclipsed <>

4 0

3 years ago

Factorise 80a^3-5ab2​

Factorise 80a^3-5ab2