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chubhunter [2.5K]
3 years ago
8

ou find a clue wrapped around a Toblerone bar. The base was an equilateral triangle with a side of 16 mm and the bar was 155 mm

long. How many sq mm was the clue? (lateral surface area)
Mathematics
1 answer:
qwelly [4]3 years ago
7 0

Answer:

54 cubic inches?

Step-by-step explanation:

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3. In a single growing season at the Smith Family Orchard, the average yield per apple tree is 150 apples when the number of tre
g100num [7]

Answer:

<em><u>A.10000</u></em>

<em><u>B.25 more trees must be planted</u></em>

Step-by-step explanation:

⇒Given:

  • The intial average yield per acre y_{i} = 150
  • The initial number of trees per acre  t_{i} = 100
  • For each additional tree over 100, the average yield per tree decreases by 1 i.e , if the number trees become 101 , the avg yield becomes 149.
  • Total yield = (number of trees per acre)*(average yield per acre)

<em>A.</em>

⇒If the total trees per acre is doubled , which means :

total number of trees per acre t_{f} = 2*t_{i} = 200

the yield will decrease by : t_{f} - y_{i}

y_{f}= 150-100= 50

⇒total yield = 50*200=10000

<em>B.</em>

⇒to maximize the yield ,

let's take the number of trees per acre to be 100+y ;

and thus the average yield per acre = 150 - y;

total yield = (100+y)*(150-y)\\=15000+50y-y^{2} \\

this is a quadratic equation. this can be rewritten as ,

     ⇒   =15000+50y-y^{2}\\=15000+625 - (625 - 50y +y^{2})\\=15625 - (y-25)^{2}

In this equation , the total yield becomes maximum when y=25;

<u><em>⇒Thus the total number of trees per acre = 100+25 =125;</em></u>

                 

3 0
3 years ago
Solve quadratic equation (x-3)^2+5=14
loris [4]
(X-3)^2+5=14
Step 1: simplify both sides of the equation
X^2-6x+14=14

Step 2: subtract 14 from both sides
X^2-6x+14-14=14-14
X^2-6x=0

For this equation: a=1, b=-6,c=0
1x^2+-6x+0=0

Step 3: Use quadratic formula with a=1, b=-6, c=0

The answer is x=6 or x=0

5 0
3 years ago
Look to make 10 ones or 10 tens to solve 36+23+17
Juliette [100K]
I don't know what you are asking for the first part of the question but 36+23+17 = 76

Hope this helped a little! :)
4 0
3 years ago
Which of the following irrational numbers will result in a rational number when squared? Put a check mark next to all correct an
Anastaziya [24]

Answer:

The square root of 7 and the square root of 2

Step-by-step explanation:

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3 years ago
Use your knowledge of scientific notation, SI prefixes, conversion factors, and
mixas84 [53]
1 x 10^10 or 10000000000
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3 years ago
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