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3 years ago

4x + y = -1 4x - 3y = 7 Solve the simultaneous equation. x= y=

Mathematics

1 answer:

Irina18 [472]3 years ago

3 0

Answer:

x(1÷4) y(-2)

Step-by-step explanation:

4x= -1-y

4x- 3y= 7

-1-y-3y=7

y= -2

4x-3 x (-2)=7

x=1÷4

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3 years ago

Need to find volume, step by step explanation pls <br><br><br><br>

worty [1.4K]

Given:

A figure of combination of hemisphere, cylinder and cone.

Radius of hemisphere, cylinder and cone = 6 units.

Height of cylinder = 12 units

Slant height of cone = 10 units.

To find:

The volume of the given figure.

Solution:

Volume of hemisphere is:

$V_1=\dfrac{2}{3}\pi r^3$

Where, r is the radius of the hemisphere.

$V_1=\dfrac{2}{3}(3.14)(6)^3$

$V_1=\dfrac{6.28}{3}(216)$

$V_1=452.16$

Volume of cylinder is:

$V_2=\pi r^2h$

Where, r is the radius of the cylinder and h is the height of the cylinder.

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$V_2=(3.14)(36)(12)$

$V_2=1356.48$

We know that,

$l^2=r^2+h^2$ [Pythagoras theorem]

Where, l is length, r is the radius and h is the height of the cone.

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$100-36=h^2$

$\sqrt{64}=h$

$8=h$

Volume of cone is:

$V_3=\dfrac{1}{3}\pi r^2h$

Where, r is the radius of the cone and h is the height of the cone.

$V_3=\dfrac{1}{3}(3.14)(6)^2(8)$

$V_3=\dfrac{25.12}{3}(36)$

$V_3=301.44$

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$V=V_1+V_2+V_3$

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$V=2110.08$

Therefore, the volume of the given figure is 2110.08 cubic units.

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2 years ago

4x + y = -1 4x - 3y = 7 Solve the simultaneous equation. x=__ y=__

4x + y = -1 4x - 3y = 7 Solve the simultaneous equation. x= y=