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rjkz [21]
3 years ago
9

What is the definition of a constant

Mathematics
2 answers:
Ksju [112]3 years ago
8 0

Answer:

Constant means something stays the same.

Step-by-step explanation:

leonid [27]3 years ago
3 0

Answer:occurring continuously over a period of time

Step-by-step explanation:

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F stands for false my friend  
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Given △ABC. m∠A&gt;m∠B&gt;m∠C. Perimeter=30. Which side of △ABC may have length 7?
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<u>Solution-</u>

As given in △ABC,

m\angle A>m\angle B>m\angle C

As from the properties of trigonometry we know that, the greater the angle is, the greater is the value of its sine. i.e

\sin A>\sin B>\sin C

According to the sine law,

\frac{a}{\sin A}=\frac{b}{\sin B}=\frac{c}{\sin C}

In order to make the ratio same, even though m∠A>m∠B>m∠C, a must be greater than b and b must be greater than c.

\Rightarrow a>b>c

Also given that its perimeter is 30. Now we have to find out whose side length is 7. So we have 3 cases.

Case-1. Length of a is 7

As a must be the greatest, so b and c must be less than 7. Which leads to a condition where its perimeter won't be 30. As no 3 numbers less than 7 can add up to 30.

Case-2. Length of b is 7

As b is greater than c, so c must 6 or less than 6. But in this case the formation of triangle is impossible. Because the triangle inequality theorem states that the sum of any 2 sides of a triangle must be greater than the measure of the third side. If b is 7 and c is 6, then a must be 17. So no 2 numbers below 7 can add up to 17.

Case-3. Length of c is 7

As this is the last case, this must be true.

Therefore, by taking the aid of process of elimination, we can deduce that side c may have length 7.


5 0
3 years ago
- 4/9 times - 5/8 in fractions.
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Step-by-step explanation:

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Step-by-step explanation:

because 2 times 1 is 2 or any number multiplied by 1 is itself

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