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densk [106]
2 years ago
9

The capacity of a cylindrical water tank is 539 litres. If its height is 1.4 meter then find the radius of the base.​

Mathematics
1 answer:
natulia [17]2 years ago
6 0

Answer:

350m

Step-by-step explanation:

  • capacity= volume/1000
  • but we know that volume of cylinder is πr²h so substitute it I'm the volume space
  • then substitute for π as 22/7, h as 1.4 , and also capacity as 539
  • 539= ((22/7)×r²×1.4)/1000
  • when you simplify you get r as 350m
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What is the distance of this line?<br><br>Which is the right answer? ​
Shtirlitz [24]

Answer:

Step-by-step explanation:

We can use the distance formula derived from the Pythagorean theorem

D = \sqrt{(x_2-x_1)^2 +(y_2-y_1)^2}

the two points given are

(0, 3) and (-2, -3)

(x_2-x_1) = (0-(-2)) = 2\\(y_2-y_1) = (3-(-3)) = 6\\D = \sqrt{(2)^2 + (6)^2} \\D = \sqrt{4 + 36} \\D = \sqrt{40} = 6.324

6 0
3 years ago
Let $DEF$ be an equilateral triangle with side length $3.$ At random, a point $G$ is chosen inside the triangle. Compute the pro
umka21 [38]

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8 0
3 years ago
Read 2 more answers
A container is shaped like a triangle prism. Each base of container is an equilateral triangle with the dimensions shown. The co
Aleks04 [339]

Answer:

\text{Lateral surface area of container}=270\text{ cm}^2    

Step-by-step explanation:

Please find the attachment.

We have been given that a container is shaped like a triangle prism. Each base of container is an equilateral triangle with each side 6 cm. The height of container is 15 cm.

To find the lateral surface area of our given container we will use lateral surface area formula of triangular prism.

\text{Lateral surface area of triangular prism}=(a+b+c)*h, where, a, b and c represent base sides of prism and h represents height of the prism.

Upon substituting our given values in above formula we will get,

\text{Lateral surface area of container}=(\text{6 cm+ 6 cm+6 cm})*\text{15 cm}

\text{Lateral surface area of container}=\text{18 cm}*\text{15 cm}

\text{Lateral surface area of container}=270\text{ cm}^2

Therefore, lateral surface area of our given container is 270 square cm.

6 0
3 years ago
Find the value of the variable. Then find the angle measures of the polygon.
Anvisha [2.4K]
First set up the equation (sum of the angles is 180)

2x + 2(x-1) + (5x +2) = 180

distribute:
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combine like terms:
9x = 180
solve for x:

x = 20

SO:

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7 0
3 years ago
If x^2y-3x=y^3-3, then at the point (-1,2), (dy/dx)?
zavuch27 [327]
If you're using the app, try seeing this answer through your browser:  brainly.com/question/2866883

_______________


          dy
Find  ——  for an implicit function:
          dx


x²y – 3x = y³ – 3


First, differentiate implicitly both sides with respect to x. Keep in mind that y is not just a variable, but it is also a function of x, so you have to use the chain rule there:

\mathsf{\dfrac{d}{dx}(x^2 y-3x)=\dfrac{d}{dx}(y^3-3)}\\\\\\&#10;\mathsf{\dfrac{d}{dx}(x^2 y)-3\,\dfrac{d}{dx}(x)=\dfrac{d}{dx}(y^3)-\dfrac{d}{dx}(3)}


Applying the product rule for the first term at the left-hand side:

\mathsf{\left[\dfrac{d}{dx}(x^2)\cdot y+x^2\cdot \dfrac{d}{dx}(y)\right]-3\cdot 1=3y^2\cdot \dfrac{dy}{dx}-0}\\\\\\&#10;\mathsf{\left[2x\cdot y+x^2\cdot \dfrac{dy}{dx}\right]-3=3y^2\cdot \dfrac{dy}{dx}}


                        dy
Now, isolate  ——  in the equation above:
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\mathsf{2xy+x^2\cdot \dfrac{dy}{dx}-3=3y^2\cdot \dfrac{dy}{dx}}\\\\\\&#10;\mathsf{2xy+x^2\cdot \dfrac{dy}{dx}-3-3y^2\cdot \dfrac{dy}{dx}=0}\\\\\\&#10;\mathsf{x^2\cdot \dfrac{dy}{dx}-3y^2\cdot \dfrac{dy}{dx}=-\,2xy+3}\\\\\\&#10;\mathsf{(x^2-3y^2)\cdot \dfrac{dy}{dx}=-\,2xy+3}


\mathsf{\dfrac{dy}{dx}=\dfrac{-\,2xy+3}{x^2-3y^2}\qquad\quad for~~x^2-3y^2\ne 0}


Compute the derivative value at the point (– 1, 2):

x = – 1   and   y = 2


\mathsf{\left.\dfrac{dy}{dx}\right|_{(-1,\,2)}=\dfrac{-\,2\cdot (-1)\cdot 2+3}{(-1)^2-3\cdot 2^2}}\\\\\\&#10;\mathsf{\left.\dfrac{dy}{dx}\right|_{(-1,\,2)}=\dfrac{4+3}{1-12}}\\\\\\&#10;\mathsf{\left.\dfrac{dy}{dx}\right|_{(-1,\,2)}=\dfrac{7}{-11}}\\\\\\\\ \therefore~~\mathsf{\left.\dfrac{dy}{dx}\right|_{(-1,\,2)}=-\,\dfrac{7}{11}}\quad\longleftarrow\quad\textsf{this is the answer.}


I hope this helps. =)


Tags:  <em>implicit function derivative implicit differentiation chain product rule differential integral calculus</em>

6 0
3 years ago
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