Answer:
It will take 5.61 seconds for the coin to reach the stream.
Step-by-step explanation:
The height of the coin, after t seconds, is given by the following equation:
How long will it take the coin to reach the stream?
The stream is the ground level.
So the coin reaches the stream when h(t) = 0.
Multiplying by (-1)
Solving a quadratic equation:
Given a second order polynomial expressed by the following equation:
.
This polynomial has roots such that , given by the following formulas:
In this question:
So
Time is a positive measure, so we take the positive value.
It will take 5.61 seconds for the coin to reach the stream.
The term circumscribed means to limit, to restrain, or to surround. The figure circumscribed another figure means it is outside of that figure. On the other hand, the term inscribed means to draw the figure within another. This means that it should be inside another figure.
The given descriptions above are the exact opposite of the true meaning. Hence, the answer to this item is FALSE.
<span>If this is an isosceles triangle, then it has two 45 degree angles corresponding to two legs of equal length. Orient the base of this triangle so that it's horizontal, and represent its length by b. Let h represent the height of the triangle. Then the area of this right triangle is 50 square inches = (1/2)(b)(h), or A = (b/2)h = 50 in^2.
Due to the 45 degree angles, the height of this triangle is equal to half the base, or h = b/2. Thus, (b/2)h = 50 becomes (b/2)(b/2) = 50, or b^2=200. Thus, b = 10sqrt(2), and h=(1/2)(10 sqrt(2)), or h = 5sqrt(2).
The length of one of the legs is the sqrt of [5sqrt(2)]^2+[5sqrt(2)]^2, or
sqrt(25(2)+25(2)) = sqrt(100) = 10.
</span>
The sum of the interior angles of any polygon is given by (n-2)180°, where n is the number of sides.
Also sum of all the exterior angles of any polygon is 360°
Given (n-2)180° = 3(360°)
=> n-2 = 6
=> n = 8.
Hence the number of sides of a polygon is 8
A bag contains 10 tiles with the letters A, B, C, D, E, F, G, H, I, and J. Five tiles are chosen, one at a time, and placed in a
lora16 [44]
I assume in this item, we are to find at which step is the mistake done for the calculation of the unknown probability.
For the possible number of arrangement of letter, n(S), the basic principles of counting should be used.
= 10 x 9 x 8 x 7 x 6 = 30,240
This is similar as to what was done in Meghan's work.
For the five tiles to spell out FACED, there is only one (1) possibility.
Therefore, the probability should be equal to 1/30,240 instead of the 1/252 which was presented in the steps above.