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mrs_skeptik [129]
2 years ago
12

Napoleon Crossing the Alps

Mathematics
2 answers:
Marizza181 [45]2 years ago
7 0

Answer:

I Deleted the Answer as i felt cheating was bad.

Note: If I am not mistaken, this is part of the Senior Challenge '22 Year 10 or below, which is part of the Mathematical Education Of Merseyside. This competition should be done during the February half term and seeing as I am also in high school and it is currently my February half term, I believe (although i may be very wrong) you are cheating. :)

timama [110]2 years ago
3 0

It took him 2.6 hours to reach the top

Data;

  • Uphill = 6km
  • Downhill = 4km
  • Total time taken = 8 hours

<h3>Speed</h3>

Let us calculate the speed during uphill and downhill

Since the time it took them to descend is twice the time it took them to ascend,

  • Let x represent the time taken to ascend

x + 2x = 8 hours\\3x = 8\\x = \frac{8}{3} \\x = 2.6 hours

From the calculation above, it took him 2.6 hours to reach the top.

Learn more on speed here;

brainly.com/question/4931057

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<span>(–8) • (12)= - 96
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8 0
3 years ago
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FInd the area of the circle
olchik [2.2K]

Answer:

A = 12.56 m²

General Formulas and Concepts:

<u>Pre-Alg</u>

  • Order of Operations: BPEMDAS

<u>Geometry</u>

  • Area of a Circle: A = πr²
  • d = 2r

Step-by-step explanation:

<u>Step 1: Define</u>

d = 4 m

<u>Step 2: Find </u><em><u>r</u></em>

  1. Substitute:               4 = 2r
  2. Isolate <em>r</em>:                   2 = r
  3. Rewrite:                    r = 2 m

<u>Step 3: Find Area</u>

  1. Substitute:               A = π(2)²
  2. Substitute:               A = (3.14)(2)²
  3. Evaluate:                  A = (3.14)(4)
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8 0
3 years ago
David is going to install tiles on the floor of two rooms. One of the floors is 18 feet long by 12 feet wide. The other floor is
crimeas [40]
Dimension of one of the floors of one room that David wants to install tiles is 18feet long by 12 feet wide
Then
Area of the above room = 18 * 12 square feet
                                       = 216 square feet
Dimension of the floor of the other room that David wants to install tiles is 24 feet long and 16 feet wide
Then
Area of the other room = 24 * 16 square feet
                                     = 384 square feet
Then
The total square feet of the
rooms that David wants to install tiles = 216 + 384
                                                             = 600 square feet
Cost of the tile that covers 1 square feet = $5
Cost of the 4 tiles that cover 4 square feet = $17
Then  
Area that can be covered with 4 square feet of tiles = 600/4 square feet
                                                                                  = 150 square feet
Minimum cost of covering
the two rooms that David wants to install tiles = 150 * 17 dollars
                                                                          = 2550 dollars
So the minimum cost of installing the tiles on the two floors of David's two rooms is $2550. I hope the procedure is simple enough for you to understand.            
8 0
3 years ago
Find two consecutive whole numbers such that 4/7 of the larger exceeds 1/2 of the smaller by 5
Darina [25.2K]

Answer:

The consecutive numbers are 62 and 63

Step-by-step explanation:

Let the larger number be represented by x and the smaller number by y,

Provided they are consecutive numbers;

x = y + 1 --- Equation 1

From the question; we have that

\frac{4x}{7} = \frac{y}{2} + 5 --- Equation 2

Required

Find x and y

Multiply both sides of equation 2 by 14

14 * \frac{4x}{7} = 14 * \frac{y}{2} + 14 * 5

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Substitute y + 1 for x in equation 2

8(y + 1) = 7y + 70

Open bracket

8y + 8 = 7y + 70

Collect like terms

8y - 7y = 70 - 8

y = 62

x = y + 1

So,

x = 62 + 1

x = 63

Hence, the consecutive numbers are 62 and 63

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