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Phantasy [73]
2 years ago
7

Pleaseee help meee struggling currently

Mathematics
2 answers:
lisabon 2012 [21]2 years ago
5 0

Answer: 2908.92435 inches.

Step-by-step explanation for shape 1: A = 2(wl + hl + hw) = 2 · (30 · 13 + 13 · 13 + 13 · 30) = 1,898 inches.

Step-by-step explanation for shape 2:

Using the formulas:

A=2AB+(a+b+c)h

AB=s(s﹣a)(s﹣b)(s﹣c)

s=a+b+c

2

Solving for A:

A=ah+bh+ch+1

2﹣a4+2(ab)2+2(ac)2﹣b4+2(bc)2﹣c4=9·30+13·30+9·30+1

2·﹣94+2·(9·13)2+2·(9·9)2﹣134+2·(13·9)2﹣94≈1010.92435

Step-by-step explanation for total volume: 2908.92435 inches.

Firlakuza [10]2 years ago
5 0

Answer: 6825 in^3

Step-by-step explanation:

First divided the whole shape into two shapes.

The first shape will be a rectangular prism and the second shape will be a triangular prism.

The rectangular prism will have a length of 13, a width of 30 and the height of 13.

Now find the volume of the rectangular prism by multiplying the length by the width then by the height.

V= 13 * 30 * 13

V = 5070

This means the volume of the rectangular prism is 5070 cubic inches.

Now will will need to find the volume of the triangular prism.

The triangular prism has a triangle at the base, with a base of 9 and a height of 13. If you multiply the the area of the base by the whole height of the triangular prism which is 30 then you will get the volume.

Find the area of the base.

The area  is base time height times 1/2.

A = 9 * 13 * 1/2

A =  58.5  

Now multiply the area by 30.

58.5 * 30 = 1775

Finally, add both volumes to find the full volume of the figure.

5070 + 1775 = 6825

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3 years ago
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garik1379 [7]

Answer:

The answer is

<h2>x² + y² + 6x - 16y - 71 =0</h2>

Step-by-step explanation:

The equation of a circle is given by

<h3>( x - a)² + ( y - b)² = r²</h3>

where ( a , b) is the center of the circle and

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From the question the center is

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Substitute the values into the above formula and solve

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( x + 3)² + ( y - 8) = 12²

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x² + 6x + 9 + y² - 16y + 64 = 144

<u>Arrange the terms</u>

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We have the final answer as

<h3>x² + y² + 6x - 16y - 71 =0</h3>

Hope this helps you

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3 years ago
A travel company sells holidays and wants to survey 500 customers stratified by country visited, complete the table.
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Answer:

\left|\begin{array}{c|c|c|c|c||c}$Country Visited&$UK& $France& $Spain& $Italy &$Total\\&&&&&\\$Number of Customers &968& 248& 2042& 742& 4000\\&&&&&\\$Number of sample&121&31&255&93&500\end{array}\right|

Step-by-step explanation:

\left|\begin{array}{c|c|c|c|c||c}$Country Visited&$UK& $France& $Spain& $Italy &$Total\\$Number of Customers &968& 248& 2042& 742& 4000\\$Number of sample&&&&&&\end{array}\right|

Since the company wants to survey 500 customers by the countries visited, the number of samples from each country will be proportional to the number of customers.

For UK, Number of Samples=\dfrac{968}{4000}X500=121

For France, Number of Samples=\dfrac{248}{4000}X500=31

For Spain, Number of Samples=\dfrac{2042}{4000}X500\approx 255

For Italy, Number of Samples=\dfrac{742}{4000}X500\approx 93

The completed table therefore is:

\left|\begin{array}{c|c|c|c|c||c}$Country Visited&$UK& $France& $Spain& $Italy &$Total\\&&&&&\\$Number of Customers &968& 248& 2042& 742& 4000\\&&&&&\\$Number of sample&121&31&255&93&500\end{array}\right|

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