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3 years ago

What is the volume of the composite figure? Round your answer to the nearest hundredth. Use 3.14 for π.

Mathematics

1 answer:

Reil [10]3 years ago

7 0

Answer:

263.76 in^3

VOLUME OF FIGURE=VOL.OF CONE+VOL.OF CYLINDER +VOL.OF HEMISPHERE

=(1/3×3.14×3×3×4)+(3.14×3×3×6)+(2/3×3.14×3×3×3)

=37.68+169.56+56.52

=263.76in^3

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The smallest of three consecutive integers is 24 less than the sum of the two larger integers. Find the three integers.

harkovskaia [24]

Answer:

21, 22, 23

Step-by-step explanation:

Construct equations representing each piece of information.

Three consecutive integers are three numbers in a row, for example, 1, 2 and 3.

Let's let

Integer 1 = X

Integer 2 = Y

Integer 3 = Z

X = (Y + Z) - 24

We also know that

Y = X + 1

and Z = X + 2

We can now sub this information into the first equation. We do this so that we can have only one variable in the equation.

X = (X+1) + (X+2) - 24

now solve for x,

X = 2X + 3 - 24

X = 2X - 21

-X = - 21

X = 21

So, the integers are 21, 22, 23

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3 years ago

One-third of a number is 12. Work out one-half of the number.

inn [45]

Answer:

Step-by-step explanation:

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3 years ago

Read 2 more answers

Please answer this in two minutes

inysia [295]

Answer:

x = 5.7 units

Step-by-step explanation:

By applying Sine rule is the triangle XYZ,

$\frac{\text{SinX}}{\text{WY}}=\frac{\text{SinY}}{\text{WX}}=\frac{\text{SinW}}{\text{XY}}$

$\frac{\text{SinX}}{\text{x}}=\frac{\text{SinY}}{\text{y}}=\frac{\text{SinW}}{\text{10}}$

$\frac{\text{Sin33}}{\text{x}}=\frac{\text{SinY}}{\text{y}}=\frac{\text{Sin107}}{\text{10}}$

$\frac{\text{Sin33}}{\text{x}}=\frac{\text{Sin107}}{\text{10}}$

$x=\frac{10\times(\text{Sin33})}{\text{(Sin107)}}$

x = 5.69

x ≈ 5.7 units

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