If A and B are mutually exclusive events with P(A)= 0.3 and P(B)= 0.5, then P(A and B)=
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Answer:
The measures of angle are 46 degrees and 134 degrees.
Step-by-step explanation:
We are given the following in the question:
Let the measure of one the of the supplementary angles be x degrees.
Measure of other angle =
Since, the two angles are supplementary, their sum is 180 degrees.
Thus, we can write and solve the equation:
Thus, the measures of angle are 46 degrees and 134 degrees.
Given:
Height of right triangle = 9 mi
Hypotenuse = 17.5 mi
Base of right triangle = Distance across lake
To find:
The distance across the lake.
Solution:
Using Pythagoras theorem:
In right triangle, square of the hypotenuse is equal to the sum of the squares of the other two sides.
Subtract 81 from both sides.
Taking square root on both sides.
⇒ base = 15
The distance across the lake 15 mi.