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3 years ago

6x + 4 = 4x – 2 how do I solve this and what are the steps

Mathematics

1 answer:

Lelechka [254]3 years ago

6 0

Answer: -0.6

Step-by-step explanation:

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3 years ago

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nataly862011 [7]

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Step-by-step explanation:

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2 years ago

What is the value of x? º

horsena [70]

y=180-109=71

In a triangle, the sum of angles is 180.

So, x=180-71-44=65

x=65

6 0

3 years ago

Random digits 0,1,2,3,4,5,6,7,8,9. what is the probability that a multiple of 4 is picked?

Anton [14]

$|\Omega|=10\\|A|=3\\\\P(A)=\dfrac{3}{10}=30\%$

4 0

3 years ago

Need to find volume, step by step explanation pls

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.

$V_2=(3.14)(6)^2(12)$

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

$V_2=1356.48$

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.

$(10)^2=(6)^2+h^2$

$100-36=h^2$

$\sqrt{64}=h$

$8=h$

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.

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

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

$V_3=301.44$

Now, the volume of the combined figure is:

$V=V_1+V_2+V_3$

$V=452.16+1356.48+301.44$

$V=2110.08$

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

7 0

2 years ago