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Darya [45]
3 years ago
7

a bag contains six red marbles and seven blue marbles. You randomly pick a marble and then return it to the bag before picking a

nother marble. The first marble is red and the second marble is blue. Find the probability of the independent event.
Mathematics
1 answer:
tankabanditka [31]3 years ago
4 0

Answer:

6/13 7/13 chance to get the marbles

Step-by-step explanation:

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A 10 ft pole has a support rope that extends from the top of the pole to the ground. The rope and the ground form a 30 degree an
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Answer:

The length of rope is 20.0 ft . Hence, <u>option (1) </u> is correct.

Step-by-step explanation:

In the figure below AB represents pole having height 10 ft  and AC represents the rope that is from the top of pole to the ground. BC represent the ground distance from base of tower to the rope.

The rope and the ground form a 30 degree angle that is the angle between BC and AC is 30°.

In right angled triangle ABC with right angle at B.

Since we have to find the length of rope that is the value of side AC.

Using trigonometric ratios

\sin C=\frac{\text{perpendicular}}{\text{hypotenuse}}

\sin C=\frac{AB}{AC}

Putting values,

\sin 30^\circ} =\frac{10}{AC}

We know, \sin 30^\circ}=\frac{1}{2}

\frac{1}{2} =\frac{10}{AC}

On solving we get,

AC= 20.0 ft

Thus, the length of rope is 20.0 ft

Hence, <u>option (1)</u> is correct.

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