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Rina8888 [55]
3 years ago
9

Work out the size of angle X.​

Mathematics
1 answer:
larisa [96]3 years ago
5 0

Answer:

x = 70°

Step-by-step explanation:

The external angle of a triangle is equal to the sum of the 2 opposite interior angles.

120° is an external angle of the triangle, thus

x + 50 = 120 ( subtract 50 from both sides )

x = 70

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A sculpture sits on a pedestal in the shape of a square prism. The side lengths of a base of the prism are 3 feet. The height of
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Answer:

Total cost of covering the pedestal is <em>$12.54</em>.

Step-by-step explanation:

The pedestal is a <em>square prism </em>so top and bottom are of square shape.

Hence, we have here length = width

We know that the Total Surface Area of a Prism is:

\text{Total Surface Area = } 2 (l\times w+ w \times h+ h \times l)

Where <em>l</em> is length,

<em>w</em> is width and

<em>h</em> is height of prism

We know that here <em>w = l = 3 feet</em>

and <em>h = 4 feet</em>

Also, underside of pedestal is not to be covered.

The underside of pedestal is square type.

So,

\text{Required Total Surface Area = }  l\times w+ 2\times w \times h+2\times h \times l

\Rightarrow 3 \times 3 + 2 \times 3 \times 4 + 2 \times 3 \times 4\\\Rightarrow 9 + 24 + 24\\\Rightarrow 57\ ft^{2}

Cost of cover per square foot = <em>$ 0.22</em>

Total cost of 57\ ft^{2}  \Rightarrow 0.22 \times 0.57 = \$12.54

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A librarian arranged some books on the shelf using the Dewey decimal system. Choose the group of book numbers that is listed in
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I know this is late, but I hope it was helpful!

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