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3 years ago

Without computing each sum, find which is greater, O or E, and by how much

Mathematics

2 answers:

mel-nik [20]3 years ago

8 0

Answer:

E will be greater than O

Step-by-step explanation:

O= 3+5+7+9+...+101

E= 4+6+8+10+...+102

= (3+1)+(5+1)+(9+1)...+(101+1)

Clearly, each term in E is one more than the term in O

so, sum of series in E will be greater than the sum of series in O

Hence, E will be greater than O

suter [353]3 years ago

4 0

If you need an explanation tell me.

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The height of a triangle is 5 cm shorter than its base. If the area of the triangle is 25 cm2, find the height of the triangle.

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Answer:

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Step-by-step explanation:

Let's call B at the base of the triangle and call h at the height of the triangle. Then we know that:

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Then:

$B=\frac{-(-\frac{5}{2})\±\sqrt{(-\frac{5}{2})^2-4(0.5)(-25)}}{2(0.5)}$

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$B_2=\frac{5}{2}-\frac{15}{2}=-5$

For this problem we take the positive solution.

$B=10\ cm$

Now we substitute the value of B in the equation to find the height h

$h = 10-5$

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Without computing each​ sum, find which is​ greater, O or​ E, and by how much

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