Solve 1/2 x 3/4 * A. 3/8 B. 4/6 C. 5/4 D. 4/8
2 answers:
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Let be the cat's speed just as it leaves the edge of the table. Then taking the point 1.3 m below the edge of the table to be the origin, the cat's horizontal position at time
is given by
and its height is
where is 9.8 m/s^2, the magnitude of the acceleration due to gravity.
The time it takes for the cat to hit the ground is with
(Unfortunately, this doesn't match any of the given options...)
The cat lands 0.75 m away (horizontally) from the edge of the table, so that its speed was
(Again, not one of the answer choices...)
I'm guessing there's either a typo in the question or answers.
Answer:
Step-by-step explanation:
The diagonal of any square with side length is equal to
. Since the side length of the square is 10, the diagonal must be
.
To support and prove this:
The diagonal creates two 45-45-90 triangles, with the diagonal being the hypotenuse of both of these triangles. The Pythagorean Theorem states that in any triangle, the sum of the squares of both legs is equal to the square of the hypotenuse ().
Call the diagonal . In these two triangles, both legs are equal to 10 (the side lengths of the square), and the hypotenuse is the diagonal. Thus, we have:
ANSWER
D. 4 minutes 40 seconds
EXPLANATION
The given data set showing the number of seconds of each song the playlist is:
283,204,198,229,173,230,168,236,215,204
Let the length of the 11th song be x.
Because he wants the mean to be 3 minutes 40 seconds, which is equal to 220 seconds, we write and solve the following equation for x.
We convert 280 seconds to minutes.
The correct choice is D