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solong [7]
3 years ago
7

Jasper is giving four non-collinear points. How many different triangles can he draw using these points?

Mathematics
1 answer:
kotegsom [21]3 years ago
8 0

Answer:

4

Step-by-step explanation:

There are 4 ways to ignore one of the points. The other 3 can be connected to form a triangle.

_____

More formally, the number of ways that 4 items can be chosen 3 at a time is given by ...

... C(4, 3) = 4!/(3!(4-3)!) = 4/1 = 4

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Answer:

t(total amount) = 8 + 0.5x

Step-by-step explanation:

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Mr. mole left his burrow that lies 7 meters below the ground and started digging his way deeper into the ground, descending at a
Dimas [21]

Answer:

f(t)=-\frac{3}{2}t-7

Step-by-step explanation:

We know that:

  • The initial conditions are -7 meters at 0 minutes.
  • Then, after 6 minutes, he was 16 meters below the ground.

According to these two simple facts we can found the linear function that describes this problem. First, the problem says that Mr. Mole is descending at a constant rate, which is the slope of the function. Now, to calculate the slope we need to points, which are (0;-7) and (6;-16), where <em>t-values </em>are minutes, and <em>y-values </em>are meters. You can see, that the first point is the initial condition and the second point is 6 minutes later.

So, we calculate the slope:

m=\frac{y_{2}-y_{1}}{t_{2}-t_{1}} \\m=\frac{-16-(-7)}{6-0}=\frac{-16+7}{6}=\frac{-9}{6}=\frac{-3}{2}

From the slope we can see that Mr. Mole is descending, because it has a negative sign. Also, the point (0;-7) is on the <em>y-axis</em>, because <em>t</em> is null, so -7 is part of the function. Therefore the function that describes this problem is:

f(t)=-\frac{3}{2}t-7

7 0
3 years ago
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A right circular cylinder has a volume of 45pi. If the height of the cylinder is 5, what is the radius of the cylinder? Plz I ne
Andru [333]

Answer:

this is the answer I know.

3 0
3 years ago
If​ P(A or ​B)equals=0.60.6​, P(A)equals=0.40.4​, and​ P(A and ​B)equals=0.350.35​, find​ P(B).
Studentka2010 [4]

Answer:

P(B) = 0.55 .

Step-by-step explanation:

We are given that  P(A or ​B) = 0.6 ​, P(A) = 0.4 ​, and​ P(A and ​B) = 0.35 .

As we know that;

     P(A or B) = P(A) + P(B) - P(A and B)

         0.6 = 0.4 + P(B) - 0.35

           P(B) = 0.35 + 0.6 - 0.4 = 0.55

Therefore, P(B) = 0.55 .

7 0
3 years ago
What's a Absolute value equation that equals 7 and 11?
Kobotan [32]
For 7 it could be |-7|=7 or |7|=7 , for 11 it could be |-11|=11 or |11|=11
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