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lakkis [162]
3 years ago
12

Please help me with this.

Mathematics
1 answer:
sergey [27]3 years ago
8 0

Answer:

hexagon

Step-by-step explanation:

it has 6 sides making it a hexagon

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Prove that √2 +√5 is irrational
Sindrei [870]

We have to prove that \sqrt{2}+\sqrt{5} is irrational. We can prove this statement by contradiction.

Let us assume that \sqrt{2}+\sqrt{5} is a rational number. Therefore, we can express:

a=\sqrt{2}+\sqrt{5}

Let us represent this equation as:

a-\sqrt{2}=\sqrt{5}

Upon squaring both the sides:

(a-\sqrt{2})^{2}=(\sqrt{5})^{2}\\a^{2}+2-2\sqrt{2}a=5\\a^{2}-2\sqrt{2}a=3\\\sqrt{2}=\frac{a^{2}-3}{2a}

Since a has been assumed to be rational, therefore, \frac{a^{2}-3}{2a} must as well be rational.

But we know that \sqrt{2} is irrational, therefore, from equation \sqrt{2}=\frac{a^{2}-3}{2a} the expression \frac{a^{2}-3}{2a} must be irrational, which contradicts with our claim.

Therefore, by contradiction,  \sqrt{2}+\sqrt{5} is irrational.

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3 years ago
There are 221 students on a filed trip. Five of the students ride in a van. The rest of the students fill 6 buses. Enter an equa
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Answer:

6s+5=221

Step-by-step explanation:

Let s be the number of students in each of 6 buses. Then there are 6s students in all buses.

Five of the students ride in a van. In total, in a van and in buses there are  6s+5 students.

There are 221 students on a filed trip. So,

6s+5=221

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Joey had a large bag of the same amount of blue and orange toy bears. He randomly pulled out a bear and replaced it. The results
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Answer:

use division for the numbers.

Step-by-step explanation:

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Answer:

Step-by-step explanation:

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