In which container is the probability of randomly selecting a green ball on one draw 4/7?
2 answers:
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Answer:
3/2
Step-by-step explanation:
For dividing rational expressions such as the one given, we use the same concept that we use when dividing fractions.
Thus, we multiply the first expression with the second expression's reciprocal as shown below.
We can cancel common factors and simplify the product. Hence, we have
Therefore, the quotient of the expressions is equal to 3/2.
Answer:
The required drawing showing the cliff, river, and tower as well as the details in the question is attached, please find alongside the answer
The width of the river is approximately 51.55 meters
Step-by-step explanation:
The height of the observation tower = 11 meters
The angle of elevation of the cliff top and the opposite side of the river = 20°
The angle of elevation of the tower top and the opposite side of the river = 30°
Therefore, by sine rule, we have;
h/sin(20) = w/sin(60)
11/sin(10) = length, l/sin(60)
l = sin(60) ×11/sin(10) ≈ 54.86 meters
w = l × cos (20) = 54.86 meters × cos (20) ≈ 51.55 meters
The width, w, of the river is approximately 51.55 meters.
Answer:
32 yards
Step-by-step explanation:
Carmen walked 30 yards due North and 12 yards West.
Now, if we join the initial and final position of Carmen and in this path Carmen comes back to her original position then the path, traveled by Carmen will form a right triangle and the direct path from her initial point to final point will be the hypotenuse of the right triangle.
Now, the two perpendicular legs of the triangle are respectively 30 yards and 12 yards.
Therefore, Carmen travel (Applying Pythagoras Theorem) to get back to her initial position by yards ≈ 32 yards (to the nearest yard). (Answer)