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zlopas [31]
3 years ago
7

In triangle ABC, D is the midpoint of side AC and E is the midpoint of side BC.

Mathematics
1 answer:
cestrela7 [59]3 years ago
8 0

Answer:

14

Step-by-step explanation:

Since all sides are half of greater triangle.Then 7 × 2 = 14 is length of greater hypotenuse.

Suppose two triangles with similar conditions

1^2+1^2=2

Hypotenuse=2^1/2

We assume another triangle which is exactly double of previous triangle I.e

2^2+2^2=8

Hypotenuse=2×2^1/2

Which is exactly twice of previous triangle.

Hence proved hyootenuse is double of smaller triangle I.e 14

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In a basketball game, Elena scores twice as many points as Tyler. Tyler scores four points fewer thank Noah, and Noah scores thr
asambeis [7]

Answer:

if mai scores 5 points and noah scores three times that, then he scored 15. tyler scored 4 less than noah (11 points) and elena scored twice as many points as tyler, 22 points

5x3=15

15-4=11

11x2=22


3 0
3 years ago
Here's a graph of a linear function. Write the
zmey [24]

Answer:

  y = -2x -5

Step-by-step explanation:

The line crosses the y-axis at -5. So, b = -5.

It goes down 2 units for each 1 unit to the right, so has a slope of ...

  m = rise/run = -2/1 = -2

__

The slope-intercept form of the equation of a line is ...

  y = mx +b      where m is the slope and b is the y-intercept

For the slope and y-intercept shown, the equation is ...

  y = -2x -5

5 0
3 years ago
Someone please help me this is the last question on my homework. I have to write a quadratic equation for this word problem...
antiseptic1488 [7]

Answer:

57xsqaure-42x=5.5

Step-by-step explanation:

5 0
3 years ago
What’s the median of these two numbers ?<br> 13 and 13
ale4655 [162]

median: The number that occurs in the middle after arranging in ascending order of magnitude

;13 13

since both appeared in the middle,you add it and divide by 2

13+13/2

26/2

13

;The median is 13

8 0
3 years ago
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
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