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WARRIOR [948]
3 years ago
15

Please help answer this question! I will mark brainliest, and greatly appreciate your help!

Mathematics
1 answer:
Nataly [62]3 years ago
3 0

Answer:

15°

Step-by-step explanation:

sorry if I'm wrong but I think you need to add up all the ° and then subtract that number from 100 to get your answer in which in this case the answer would be 15°

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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

, where \theta = Central angle subtended by arc.

r= radius of the circle.

As per given , we have

Radius of circle : r=7 m

Length of arc : l=  8 m

Substitute these values in the above formula , we get

8=\theta (7)\\\\\Rightarrow\ \theta =\dfrac{8}{7}\text{ radians}

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}

8 0
3 years ago
ABC est un triangle rectangle en B.<br> On donne : AB = 7:BC = a et AC = a +5.<br> Calcule a
Afina-wow [57]

Answer:

Step-by-step explanation:

salut :

en utilisant le theorem de Pythagore on obtient :

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Answer:

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Step-by-step explanation:

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