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3 years ago

You are given the expressions:

Mathematics

2 answers:

FinnZ [79.3K]3 years ago

8 0

Answer:

22/15=x

Step-by-step explanation:

Well first off we have to do the stuff in the parentheses-

3x(3+7)-42=2

9x+21x-42=2 Now we have to get x by itself

+42 +42

9x+21x=44 Now add the like terms

30x=44 Divide by 30

/30 /30 30 chancels out

44/30 Simplify

22/15=x

Paul [167]3 years ago

8 0

Do the parenthesis first, 3+7=10, then do the exponent and get 256,multiply 3 times 10 and get 30, do 256 divided by 2 and get 128, finally do 30-128 to get 98.

98 is your answer

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The figure is made up of a cylinder, a cone, and a half sphere. The radius of the half sphere is 3 inches. What is the volume of

wolverine [178]

The volume of the composite figure is 263.76 inches³

Step-by-step explanation:

The volume of a cylinder of radius r and height h is

V = πr²h ⇒ Bh

The volume of a cone of radius r and height h is

V = $\frac{1}{3}$ πr²h ⇒ $\frac{1}{3}$ Bh

The volume of a sphere with radius r is

V = $\frac{4}{3}$ πr³

∵ The figure is made up of a cylinder, a cone, and a half sphere

∵ The radius of the cylinder = 3 inches

∵ The height of the cylinder = 6 inches

∵ π = 3.14

- Use the rule of the volume of the cylinder above

∴ The volume of the cylinder = (3.14)(3)²(6)

∴ The volume of the cylinder = 169.56 inches³

∵ The radius of the cone = 3 inches

∵ The height of the cone = 4 inches

∵ π = 3.14

- Use the rule of the volume of the cone above

∴ The volume of the cone = $\frac{1}{3}(3.14)(3)^{2}(4)$

∴ The volume of the cone = 37.68 inches³

∵ The radius of the half sphere = 3 inches

∵ π = 3.14

- Use the rule of the volume of the sphere above to find the

volume of the half sphere

∴ The volume of half sphere = $(\frac{1}{2})(\frac{4}{3})(3.14)(3)^{3}$

∴ The volume of half sphere = 56.52 inches³

To find the volume of the composite figure add the volumes of the three shapes above

∵ The volume of the composite figure = 169.56 + 37.68 + 56.52

∴ The volume of the composite figure = 263.76 inches³

The volume of the composite figure is 263.76 inches³

Learn more:

You can learn more about the volume in brainly.com/question/12497249

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7 0

4 years ago

Read 2 more answers