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Dafna11 [192]
3 years ago
14

Suppose you have the 26 letters of the alphabet on separate cards in a hat. You pick out a card, write down the letter, put the

card back in the hat, mix up the cards, pick out another card, and so on. What is the probability that on your first four draws your letters spell MATH?
Mathematics
1 answer:
Tanya [424]3 years ago
6 0
I'm not sure but maybe the probability is 2/13 (I am not sure so I wouldn't listen to me if I were you LOL)
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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}

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