Answer:
21 feet (20.977)
Step-by-step explanation:
1. Draw a picture, it makes it much easier. Draw a right triangle with the vertical labeled 25 and the horizontal labeled X, then label the angle adjacent to the horizontal and hypotenuse 40°
2. Use tangent because X is opposite of 40 and 25 is adjacent to angle 40. the equation would be Tan40/1 = X/25
3. You then cross multiply to get 25Tan(40) = X
4 You then plug it into a calculator and get the full answer of 20.97749078, but I always round up to either 20.98 or 21 feet, whatever your teacher allows
Answer:
3.0 x 10^1
Step-by-step explanation:
Step 1) 4,500,000,000 / 149,600,000 = about 30
Step 2) 3.0 x 10^1 = 30
Answer:
0.8432
Step-by-step explanation:
The probability of a correct transmission of individual character = 0.9
Let's consider the three possible scenarios:
1) Probability of all 14 characters transmitted correctly = 0.9^14 = 0.2287
2)Probability of only one character being wrong: (0.9 ^ 13) * 0.1
This equals 0.02541 To account for the order at which the incorrect character is produced, lets consider the permutation:
This accounts for same objects or results being repeated, and is an integral part of permutation questions. The result is 14. Thus there are 14 ways for the probability of 0.02541 to occur. That means a total of 0.02541 * 14 probability. This equals 0.3559
3) Probability of both characters being wrong:
Similar steps to (2). Probability = (0.9^12) * (0.1 ^ 2) =0.002824
Number of ways this could occur:
= 91
Total probability for this event: 0.002842 * 91 = 0.2586
The answer to our question is thus all these probabilities combined, which makes: 0.2287 + 0.3559 + 0.2586 = <u>0.8432</u>
factors 3 & 5
3*5 = 15
15, 30, 45, 60, 75, 90 are all the possible choices
so the answer would be 45 since the numbers are only 1 apart