the length of each side of a a square increase by 2.5 inches to form a new sqaure with a perimeter of 70 inches.the length of ea
1 answer:
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Jake's guesses are illustrations of probabilities.
The probability that Jake's guesses are correct is 1/720
The sample size is:
--- 10 different numbers
The probability that Jake's guesses are correct is as follows:
- 1st guess = 1/10
- 2nd guess = 1/9
- 3rd guess = 1/8
So, the required probability is:
Hence, the probability that Jake's guesses are correct is 1/720
Read more about probabilities at:
Answer:
4.41 feet per second.
Step-by-step explanation:
Please find the attachment.
We have been given that a man flies a kite at a height of 16 ft. The wind is carrying the kite horizontally from the man at a rate of 5 ft./s. We are asked to find how fast must he let out the string when the kite is flying on 34 ft. of string.
We will use Pythagoras theorem to solve for the length of side x as:
Now, we will use Pythagorean theorem to relate x and y because we know that the vertical side (16) is always constant.
Let us find derivative of our equation with respect to time (t) using power rule and chain rule as:
We have been given that ,
and
.
Therefore, the man must let out the string at a rate of 4.41 feet per second.
