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stepladder [879]
3 years ago
14

What is the volume of the figure below if a = 4.5 units, b = 5.8 units, and c = 3 units?

Mathematics
1 answer:
Anastasy [175]3 years ago
3 0

Answer:

The answer to your question is the letter C

Step-by-step explanation:

Data

a = 4.5 u

b = 5.8 u

c = 3 u

Process

1.- Calculate the volume of the rectangular prisms

Formula

Volume = a x a x c

Substitution

Volume = 4.5 x 4.5 x 3

Result

Volume = 60.75 u³

But there are two rectangular prism

Total volume = 2 x 60.75

                      = 121.5 u³

2.- Calculate the volume of the triangles

Formula

Volume = base x width x height

Substitution

Volume = 5.8 x 3 x 4.5

Result

Volume = 78.3 u³

3.- Total volume

Volume = 121.5 + 78.3

             = 199.8 u³

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Answer:

B. a pair of alternate exterior angles with measures of 130° and 50°

Step-by-step explanation:

Alternate exterior angles formed when two parallel lines are cut across by the same transversal line, are said to be congruent.

Therefore, a pair of alternate exterior angles cannot have different angle measures of 130° and 50°. Rather, both alternate exterior angles should be of equal measure of degree.

All other scenarios are possible result except option B: "a pair of alternate exterior angles with measures of 130° and 50°".

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Answer:

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Step-by-step explanation:

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Stephen &amp; Richard share a lottery win of £2950 in the ratio 2 : 3. Stephen then shares his part between himself, his wife &a
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Answer:

Stephen's wife got £354 more than his son.

Step-by-step explanation:

Given:

Amount of Lottery = £2950

Now Given:

Stephen & Richard share a lottery amount in the ratio 2 : 3

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2x+3x=2950\\\\5x = 2950

Dividing both side by 5 we get;

\frac{5x}{5}=\frac{2950}{5}\\\\x = 590

So we can say that;

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Now Given:

Stephen then shares his part between himself, his wife & their son in the ratio 3 : 5 : 2.

Let the common factor between them be 'y'.

So we can say that;

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Dividing both side by 10 we get;

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So Stephen's wife share = 5y = 5\times 118= \£590

And Stephen's son share = 2y=2\times118 =\£236

Now we need to find how much more her wife got then her son.

To find how much more her wife got than her son we will subtract Stephen's son share from Stephen's wife share.

framing in equation form we get;

Amount more her wife got than her son = 590-236 = \£354

Hence Stephen's wife got £354 more than his son.

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