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Damm [24]
2 years ago
7

Can someone please find x?

Mathematics
2 answers:
Juli2301 [7.4K]2 years ago
5 0

Answer:

x = 78°

Step-by-step explanation:

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

110° is an exterior angle of the triangle on the right , then

x + 32°= 110° ( subtract 32° from both sides )

x = 78°

bonufazy [111]2 years ago
4 0

measure of sum interior angle = (n-2)180 where n is the no. of sides

=(3-2)180

=180°

The first triangle :

110+45+y = 180

155+y = 180

y = 180-155

y = 25°

The whole triangle :

45+57+x = 180

102+x = 180

x = 180-102

x = 78°

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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

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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

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Answer:

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