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kvv77 [185]
3 years ago
14

Find the highest common factor of 14(3x+1)^ and 7(3x+1)​

Mathematics
1 answer:
ddd [48]3 years ago
5 0

Answer:

The highest common factor is 7(3x+1)

Step-by-step explanation:

Here, we want to find the highest common factor of both expressions

As we can see, the highest common factor of 7 and 14 is 7

Now, we have the second expression which is (3x+1)

No matter what the first expression is raised to, it still stands that the highest common factor we shall have there is 3x+ 1 as concerns the term

inside the bracket

Thus, the highest common factor of both terms is 7(3x + 2)

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A central angle theta in a circle of radius 7 m is subtended by an arc of length 8 m. Find the measure of theta in degrees. (Rou
gogolik [260]

Answer: In degrees , The measure of \theta=65.5^{\circ}

In radians , the measure of  \theta =\dfrac{8}{7}\text{ radians}.

Step-by-step explanation:

We know that the formula for length of arc is given by :-

l=\theta r

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As per given , we have

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Length of arc : l=  8 m

Substitute these values in the above formula , we get

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Hence, the measure of \theta =\dfrac{8}{7}\text{ radians}.

To convert it into degrees we multiply it with \dfrac{180^{\circ}}{\pi}

The measure of \theta =\dfrac{8}{7}\times\dfrac{180^{\circ}}{\pi}

=(\dfrac{8\times180}{7\times3.14})^{\circ}=65.5141037307^{\circ}

\approx65.5^{\circ}

Hence, the measure of \theta=65.5^{\circ}

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