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djyliett [7]
3 years ago
8

Dylan is working on a magic trick with a deck of cards. He pulled out and replaced one card 80 times

Mathematics
1 answer:
OLEGan [10]3 years ago
8 0
Need a problem please
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An ice skater practiced for 18 hours last week. In that time, she did 306 jumps. On the average, how many jumps did she try per
Kaylis [27]

Answer:

17

Step-by-step explanation:

306/18=17

3 0
3 years ago
(Geometry course question) Explain why it is not possible to construct an equilateral triangle that has
Nutka1998 [239]

Answer:

  √3 is irrational

Step-by-step explanation:

The location of the third point of a triangle can be found using a rotation matrix to transform the coordinates of the given points.

<h3 /><h3>Location of point C</h3>

With reference to the attached figure, the slope of line AC is √3, an irrational number. This means the line AC <em>never passes through a point with integer coordinates</em>. (Any point with integer coordinates would be on a line with rational slope.)

<h3>Equilateral triangle</h3>

The line segments making up an equilateral triangle are separated by an angle of 60°. If two vertices are on grid squares, the third must be a rotation of one of them about the other through an angle of 60°. The rotation matrix is irrational, so the rotated point must have irrational coordinates.

The math of it is this. For rotation of (x, y) counterclockwise 60° about the origin, the transformation matrix is ...

  \left[\begin{array}{cc}\cos(60^\circ)&\sin(60^\circ)\\-\sin(60^\circ)&\cos(60^\circ)\end{array}\right] \left[\begin{array}{c}x\\y\end{array}\right]=\left[\begin{array}{c}x'\\y'\end{array}\right]

Cos(60°) is rational, but sin(60°) is not. For any non-zero rational values of x and y, the sum ...

  cos(60°)·x + sin(60°)·y

will be irrational.

As in the attached diagram, if one of the coordinates of the rotated point (B) is zero, then one of the coordinates of its image (C) will be rational. The other image point coordinate cannot be rational.

6 0
2 years ago
The Jansen family drove a total of 240 miles on their road trip. This distance is 5 times the distance they drove on the first d
kompoz [17]

Answer:

48 miles

Step-by-step explanation:

240/5 = 48

8 0
3 years ago
Can someone plz help me with this one problem plzzzzz!!!
dimaraw [331]
Yes it does and it would also be true if the y was 4 or 6 because 2 plays into all of those but it would be false if it was something like 5
7 0
3 years ago
Read 2 more answers
A bank charges a fee on savings accounts that are inactive for an extended period of time. The equation y=7500(0.97)^x represent
lesya692 [45]
The y-intercept is 7500 and it represents when the account is still active or have been inactive for 0 years.
3 0
3 years ago
Read 2 more answers
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