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loris [4]
3 years ago
13

Lisa tossed two fair coins at the same time. She repeated this trial 180 times. How many trials should Lisa expect to result in

both coins showing tails?
Mathematics
1 answer:
Neporo4naja [7]3 years ago
7 0

Answer:

47

Step-by-step explanation:

4-3=7 7x3= 54 54-13= 47

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A circle passes through point (-2, -1) and its center is at (2, -1). Which equation represents the circle?
Anastaziya [24]

Answer:

  \text{A)}\qquad (x-2)^2+(y+1)^2=16

Step-by-step explanation:

The formula for a circle of radius r centered at (h, k) is ...

  (x -h)^2 +(y -k)^2 = r^2

Both of the given points are on the line y=-1. The distance between them is the difference of their x-coordinates, 2 -(-2) = 4. So, the radius of the circle is 4 and the equation becomes ...

  (x -2)^2 +(y -(-1))^2 = 4^2

  (x -2)^2 +(y +1)^2 = 16 . . . . . . . . . matches choice A

7 0
3 years ago
2. A right triangle has a hypotenuse of 15 cm. What are possible lengths for the two legs of the triangle? Explain your reasonin
dolphi86 [110]

Answer:

Two possible lengths for the legs A and B are:

B = 1cm

A = 14.97cm

Or:

B = 9cm

A = 12cm

Step-by-step explanation:

For a triangle rectangle, Pythagorean's theorem says that the sum of the squares of the cathetus is equal to the hypotenuse squared.

Then if the two legs of the triangle are A and B, and the hypotenuse is H, we have:

A^2 + B^2 = H^2

If we know that H = 15cm, then:

A^2 + B^2 = (15cm)^2

Now, let's isolate one of the legs:

A = √( (15cm)^2 - B^2)

Now we can just input different values of B there, and then solve the value for the other leg.

Then if we have:

B = 1cm

A = √( (15cm)^2 - (1cm)^2) = 14.97

Then we could have:

B = 1cm

A = 14.97cm

Now let's try with another value of B:

if B = 9cm, then:

A = √( (15cm)^2 - (9cm)^2) = 12 cm

Then we could have:

B = 9cm

A = 12cm

So we just found two possible lengths for the two legs of the triangle.

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3 years ago
What quadrant is the<br> ordered pair (2,-3) in?
Neko [114]

Answer:

quadrant 4

Step-by-step explanation:

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3 years ago
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Which system of linear inequalities is represented by the<br> graph?
Nikitich [7]

Answer:

C.

Step-by-step explanation:

Easiest and fastest way to determine your answer is to graph the systems of inequalities on a graphing calc. Once you do so, you should be able to see that Choice C is the correct answer.

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