Answer:
729
Step-by-step explanation:
3 to the power of 2 means 3 * 3 which is 9. 3 to the power of 4 means 3 * 3 * 3 * 3 which is 81. Finally, 9 * 81 which gives you 729.
Answer: The top of the Crane is 31 feet above the ground.
Step-by-step explanation:
When it is fully extended, the crane arm forms a 30 degree angle with a line parallel to the ground. This means that a right angle triangle is formed. The length of the Crane's arm represents the hypotenuse. The horizontal distance represents the adjacent side of the right angle triangle. The distance, h of the top of the Crane from the ground represents the opposite side of the right angle triangle.
To determine h, we would apply
the Sine trigonometric ratio.
Sin θ, = opposite side/hypotenuse. Therefore,
Sin 30 = h/62
h = 62Sin30
h = 62 × 0.5
h = 31 feet
Answer: -3i^2 + 14i + 6
Step-by-step explanation:
3i(4 - i) + 6 + 2i
12i - 3i^2 + 6 + 2i
-3i^2 + 14i + 6
Answer:
Odds in against the team winning is 5 : 3
Step-by-step explanation:
Consider the provided information.
The odds against is the ratio of how many ways an outcome can't take place compared to how many ways it can take place.
Here the probability of winning its next match is 3/8.
That means total number of outcomes are 8.
Favorable outcomes are 3.
Therefore, the unfavorable outcomes are 8-3=5.
We need to find the odds against the team winning its next match.
Therefore, odds in against the team winning is 5 : 3
The probability of odds against the team winning is