Help math Composite figures and there area please help number the questions please

Answer:

1 of 5) D, 2 of 5) B, 3 of 5) D, 4 of 5) A, 5 of 5) D

Explanation:

1 of 5) The composite area is the sum of the areas of two rectangles. That is:

[tex]A = (4\,cm)\cdot (3\,cm) + (6\,cm)\cdot (2\,cm)[/tex]

[tex]A = 12\,cm^{2}+12\,cm^{2}[/tex]

[tex]A = 24\,cm^{2}[/tex]

The area of the shaded region is 24 square centimeters. (Answer: D)

2 of 5) The composite area is the sum of the areas of the rectangle and the triangle. That is:

[tex]A = (8\,cm)\cdot (5\,cm)+\frac{1}{2}\cdot (5\,cm)\cdot (5\,cm)[/tex]

[tex]A = 40\,cm^{2} + 12.5\,cm^{2}[/tex]

[tex]A = 52.5\,cm^{2}[/tex]

The area of the shaded region is 52.5 square centimeters. (Answer: B)

3 of 5) The composite area is the sum of the areas of the rectangle and the triangle. That is:

[tex]A = (10\,cm)\cdot (4\,cm)+ \frac{1}{2}\cdot (7\,cm)\cdot (6\,cm)[/tex]

[tex]A = 40\,cm^{2}+21\,cm^{2}[/tex]

[tex]A = 61\,cm^{2}[/tex]

The area of the shaded region is 61 square centimeters. (Answer: D)

4 of 5) The composite area is the sum of the areas of four triangles and two rectangles. That is:

[tex]A = 4\cdot \frac{1}{2}\cdot (1\,m)\cdot (2\,m) + (8\,m)\cdot (4\,m)+(3\m)\cdot (1\,m)[/tex]

[tex]A = 4\,m^{2}+32\,m^{2}+3\,m^{2}[/tex]

[tex]A = 39\,m^{2}[/tex]

The area of the shaded region is 39 square meters. (Answers: A)

5 of 5) The composite area is the sum of the areas of the three semicircles and the square. That is:

[tex]A =3\cdot \frac{\pi}{8}\cdot (10\,cm)^{2}+ (10\,cm)^{2}[/tex]

[tex]A = 117.810\,cm^{2}+100\,cm^{2}[/tex]

[tex]A = 217.810\,cm^{2}[/tex]

The area of the shaded region is 217.810 square centimeters. (Answer: D)

Answer:

D is the first one

Explanation:

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© 2011 FLVS

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A song for the grand old Temp'rance tree,
That is bearing goodly fruit!
Its blessings ev'ry where we see,
We praise it, branch and root.
We'll plant it wherever rum shops are,
In our native land so far,
Till Its noble branches spread afar
On the golden sunny air!
Ohl we'll gather round
The Temp'rance tree,
And sing our songs of joy.
Till the viper that is in the cup,
Shall no more destroy!
Till the viper that is in the cup,
Shall no more destroy!
Source: Library of Congress, Music Division
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G New Deal
H Reconstruction era
3 Progressive Era