The answers to the questions
Answer:
Step-by-step explanation:
The tangent to the angle makes an angle of 90° with the radius.
The interior angle of the equilateral triangle is 60, so that leaves 90-60 = 30° for the remaining angle with the tangent.
By the exterior angle theorem, 30°+x° = 60° (interior angle of the equilateral triangle), therefore
x = 60-30 = 30°.
Step-by-step explanation:
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Answer:
35/132.
Step-by-step explanation:
There are a total of 12 balls. So:
Prob(First is green) = 5/12.
After the first selection there are 11 balls left.
Prob(The second is red) = 7/11.
The required probability = 5/12 * 7/11
= 35/132.
Note: the probabilities are multiplied because the 2 events are independent.