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GaryK [48]
3 years ago
9

Sara says, "If you subtract 19 from my number and multiply the difference by - 6, the result is - 72." What is Sara's number?​

Mathematics
2 answers:
boyakko [2]3 years ago
6 0
Sara’s number is 451!

-72 x -6 = 432
432 + 19 = 451
deff fn [24]3 years ago
4 0
19-7 equals 12. 12 times -6=-72. Sara’s number is 7
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3 years ago
The Great Pyramid in Giza, Egypt, is a square pyramid. The dimensions of the pyramid at the time of its completion are shown in
ryzh [129]

Answer:

Area of square pyramid is 153883.8\ m^{2}.

Step-by-step explanation:

Diagram of the given scenario is shown below,

Given that,

The Great Pyramid in Giza, Egypt is a square pyramid. The area of base shape is made up with square is 154 \ m^{2}. The side of the square is 230 \ m and The height of each triangle is 187 \ m.

So,    Area of Square shape  = 154 \ m^{2}

         Side of square = 230 \ m

      Height of each triangle = 187 \ m

Finding the Height of triangular shape which is here known as slant height.

 In Δ ABO, applying Right angle pythagorean Theorem,

                  Base (BO) =  \frac{230}{2} = 115\ m

                Height (AO) = 187\ m

Now,      

∴                   AB^{2} = AO^{2} \ + \ BO^{2}

⇒                    AB= \sqrt{AO^{2} \ + \ BO^{2}  }

⇒                   AB= \sqrt{187^{2} \ + \ 115^{2}  }

⇒                   AB= \sqrt{34969 \ + \ 13225   }

⇒                   AB= 219.53 \ m

Then,

           Area of square pyramid = area \ of \ square + \ 4\times area \ of \ traiangle

                                                   = side\times side + 4\times\frac{1}{2}\times AB\times Base  

                                                   = 230\times 230 \  + 2\times 219.53\times 230

                                                   = 52900 + 100983.8

                                                   = 153883.8 \ m^{2}

Hence, Area of square pyramid is 153883.8\ m^{2}.

                   

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