Answer:
I believe its 27 cubic units
Step-by-step explanation:
3 × 3 = 9
9 × 3 =27
Answer:
Yes, the right angle is angle B
Step-by-step explanation:
we have
![A(-2, 3), B(-3,-6),C(2,-1)](https://tex.z-dn.net/?f=A%28-2%2C%203%29%2C%20B%28-3%2C-6%29%2CC%282%2C-1%29)
Plot the vertices
see the attached figure
we know that
If triangle ABC is a right triangle
then
Applying the Pythagoras Theorem
![AB^{2} =AC^{2}+BC^{2}](https://tex.z-dn.net/?f=AB%5E%7B2%7D%20%3DAC%5E%7B2%7D%2BBC%5E%7B2%7D)
the formula to calculate the distance between two points is equal to
![d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}](https://tex.z-dn.net/?f=d%3D%5Csqrt%7B%28y2-y1%29%5E%7B2%7D%2B%28x2-x1%29%5E%7B2%7D%7D)
<em>Find the distance AB</em>
![A(-2, 3), B(-3,-6)](https://tex.z-dn.net/?f=A%28-2%2C%203%29%2C%20B%28-3%2C-6%29)
substitute in the formula
![d=\sqrt{(-6-3)^{2}+(-3+2)^{2}}](https://tex.z-dn.net/?f=d%3D%5Csqrt%7B%28-6-3%29%5E%7B2%7D%2B%28-3%2B2%29%5E%7B2%7D%7D)
![d=\sqrt{(-9)^{2}+(-1)^{2}}](https://tex.z-dn.net/?f=d%3D%5Csqrt%7B%28-9%29%5E%7B2%7D%2B%28-1%29%5E%7B2%7D%7D)
![AB=\sqrt{82}\ units](https://tex.z-dn.net/?f=AB%3D%5Csqrt%7B82%7D%5C%20units)
<em>Find the distance BC</em>
![B(-3,-6),C(2,-1)](https://tex.z-dn.net/?f=B%28-3%2C-6%29%2CC%282%2C-1%29)
substitute in the formula
![d=\sqrt{(-1+6)^{2}+(2+3)^{2}}](https://tex.z-dn.net/?f=d%3D%5Csqrt%7B%28-1%2B6%29%5E%7B2%7D%2B%282%2B3%29%5E%7B2%7D%7D)
![d=\sqrt{(5)^{2}+(5)^{2}}](https://tex.z-dn.net/?f=d%3D%5Csqrt%7B%285%29%5E%7B2%7D%2B%285%29%5E%7B2%7D%7D)
![BC=\sqrt{50}\ units](https://tex.z-dn.net/?f=BC%3D%5Csqrt%7B50%7D%5C%20units)
<em>Find the distance AC</em>
![A(-2, 3),C(2,-1)](https://tex.z-dn.net/?f=A%28-2%2C%203%29%2CC%282%2C-1%29)
substitute in the formula
![d=\sqrt{(-1-3)^{2}+(2+2)^{2}}](https://tex.z-dn.net/?f=d%3D%5Csqrt%7B%28-1-3%29%5E%7B2%7D%2B%282%2B2%29%5E%7B2%7D%7D)
![d=\sqrt{(-4)^{2}+(4)^{2}}](https://tex.z-dn.net/?f=d%3D%5Csqrt%7B%28-4%29%5E%7B2%7D%2B%284%29%5E%7B2%7D%7D)
![AC=\sqrt{32}\ units](https://tex.z-dn.net/?f=AC%3D%5Csqrt%7B32%7D%5C%20units)
Verify the Pythagoras theorem
![(\sqrt{82})^{2} =(\sqrt{32})^{2}+(\sqrt{50})^{2}](https://tex.z-dn.net/?f=%28%5Csqrt%7B82%7D%29%5E%7B2%7D%20%3D%28%5Csqrt%7B32%7D%29%5E%7B2%7D%2B%28%5Csqrt%7B50%7D%29%5E%7B2%7D)
---> is true
therefore
Is a right triangle and the right angle is B
Answer:
It has exactly four faces that are triangles.
It has 4 vertices.
It has 6 edges.
Step-by-step explanation:
A triangular pyramid is also termed as a tetrahedron.
The properties of a triangular pyramid include:
- four triangular faces,
- six edges
- four vertex corners.
Among the four faces, any one of them can be considered to be the base of the pyramid.
The faces are of equal shape and size.
The edges have the same length.
The triangles are equilateral.
You have to download mathhway.it helps
Answer:
-157464
Step-by-step explanation:
We can see that -24/8 = -3 so the first term is 8 and the common ratio is -3.
So the 10th term = 8*(-3)^(10-1) = 8*(-3)^9 = -157464