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Advocard [28]
4 years ago
5

Number 11 please help

Mathematics
1 answer:
blagie [28]4 years ago
7 0

When we get tangents or secants or a combination intersecting outside the circle, the intersection angle is half the difference of the arcs.

Here that means C = (1/2) ( arc AE - arc BD)

The total around the circle is 360 degrees so

arc AE = 360 - (25 + 115 + 115) = 105 degrees

C = (1/2) ( 105 - 25 ) = 40 degrees

Answer: B, 40 degrees




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There is 1000cm3 of aluminum available to cast a trophy that will be in the shape of a right square pyramid. Is this enough alum
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The 1000 cubic centimeters of aluminium is enough for aluminium a trophy  that will be in the shape of a right square pyramid and has a base edge of 10 cm and a slant height of 13 cm.

Step-by-step explanation:

The given is,

                    Volume of aluminium available is 1000 cubic centimeters

                    Shape of trophy is right square pyramid

                    Trophy has a base edge of 10 cm and slant height of 13 cm

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                     Formula for volume of right square pyramid,

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                     Where, a - Base edge value

                                  h - Height of pyramid

                      From given,

                                        a = 10 cm

                                        h = 13 cm

                      Equation (1) becomes,

                                           = 10^{2}(\frac{13}{3}  )

                                           = (100)(4.333)

                                           = 433.33 cm^{3}

             Volume of trophy = 433.33 cubic centimeters

             Compare with the volume of available aluminium and volume of right square pyramid,                          

            Volume of available aluminium > Volume of right square pyramid

                                               1000 cm^{3} > 433.33 cm^{3}

            So, the given volume of aluminium is enough to make right square pyramid shaped trophy.

Result:

          The 1000 cubic centimeters of aluminium is enough for aluminium a trophy  that will be in the shape of a right square pyramid and has a base edge of 10 cm and a slant height of 13 cm.

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