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Mandarinka [93]
2 years ago
6

What is the area of this plot in hectares?

Mathematics
2 answers:
Snowcat [4.5K]2 years ago
6 0

Answer:

Area of plot =Area of Square +Area of triangle

=300²+1/2×104×180

=90000+9360

=99360m²

Artemon [7]2 years ago
4 0

Answer:

The plot is made up of a rectangle and a trapezium:

Total area = area of rectangle+area of trapezium

{ \tt{area =  2(l + w) +  \frac{1}{2} h(a + b)}}

substitute:

{ \tt{area = 2 (300 + 196) +  \frac{1}{2} (300 - 196)(480 + 300) }} \\  \\ { \tt{area = 992 + 40560}} \\  \\ { \boxed{ \boxed{ \tt{ \:  \: area = 41552 \:  \:  {m}^{2}  \:  \: }}}}

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A triangular pyramid has a base shaped like an equilateral triangle. The legs of the equilateral triangle are all 20 inches long
Pie

Answer:

Surface area of pyramid with base equilateral triangle is 390+100\sqrt{3} square inches

Step-by-step explanation:

Recall the following result:

The total surface area(S) of a regular pyramid is given by,

S = \frac{1}{2}pl+B                                       ...... (1)

Here, p represents the perimeter of the base , l the slant height and B the base area of the pyramid.

From the given information:

Side of equilateral triangle = 20 inches

Slant height of the pyramid(l) = 13 inches.

First find the perimeter and Area of the base pyramid.

Perimeter of equilateral triangle(p) = 3 \times (side)

                                                          = 3 \times 20 = 60 inches

Area of equilateral triangle(B) = \frac{\sqrt{3} }{4} \times (side)^{2}

                                                 =\frac{\sqrt{3} }{4} \times (20)^2 = 100\sqrt{3}  square inches.

Substitute the above values in equation (1) as shown below:

S=\frac{1}{2} \times 60 \times 13+100\sqrt{3}

S= 390+100\sqrt{3} square inches

Hence, the surface area of pyramid with base equilateral triangle is 390+100\sqrt{3} square inches.

6 0
3 years ago
Prime factors of 20 i dont know this question
dem82 [27]

Answer:

 2 x 2 x 5,

Step-by-step explanation:

20 = 1 x 20

        2 x 10

        4 x 5

Factors of 20= 1, 2, 4, 5, 10, 20.

Prime factors are = 2 x 2 x 5,

6 0
4 years ago
Read 2 more answers
A cylindrical container has a radius of 3 centimeters and a height of 12 centimeters. The container is filled with water up to t
evablogger [386]

Answer:

volume of empty space = 141.3 cm³

Step-by-step explanation:

volume of empty space = volume of the cylinder - volume of water

First, we need to calculate the volume of the container

volume of a cylinder = πr²h

 where r = radius of the container   and   h is the height of the container

r = 3cm  and h = 12 cm    π is a constant which is ≈ 3.14

volume of a cylinder = πr²h

                                  =3.14 × 3²×12

                                   =3.14×9×12

                                    =339.12 cm³

We will proceed to find the volume of water

since liquid will take the shape of its container,

then volume of water =  πr²h

r is the radius of the container   and    h is the height of the water

r = 3cm    and   h = 7cm      

volume of water =  πr²h

                             = 3.14 ×3²×7

                              =3.14×9×7

                              =197.82 cm³

volume of empty space = volume of the cylinder - volume of water

                                          =339.12 cm³    -    197.82 cm³

                                          = 141.3 cm³

OR

WE CAN SOLVE DIRECTLY

height of empty space = height of container - height of water

                                       = 12 - 7

                                        =5 cm

volume of empty space = πr²h

                                        =3.14×3²×5

                                        =3.14×9×5

                                         =141.3 cm³

volume of empty space = 141.3 cm³

4 0
3 years ago
Which surveys illustrate an example of qualitative data? Check all that apply.
AURORKA [14]

Answer:

hi there are no options

5 0
3 years ago
Read 2 more answers
PLEASE HELP NOW
slavikrds [6]

Answer:

Solution=96°+x+35°

=x+96°+35°

=x=96°-35°

=x=61°

4 0
3 years ago
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