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alisha [4.7K]
3 years ago
13

Mrs. Brown drove 105 miles in 2.5 hours. What was Mrs. Browns speed in miles per hour?

Mathematics
1 answer:
fiasKO [112]3 years ago
8 0

Answer:

42mph.

Step-by-step explanation:

We know that the formula for miles per hour is.

r = d/t

R is our rate or miles per hour.

D is our distance.

T is our time.

In this case our distance is 105 miles.

And our times is 2.5 hours.

Therefore if we substitute them into our formula:

105mi ÷ 2.5hrs = 42mph

Hope this helped!

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5 0
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}.

                   

6 0
3 years ago
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