C
The two triangles are similar — that is, the three angles in triangle EDC correspond to those in ABC
The answer is x=4.
set the equations up: 8x-5=6x-3
Subtract 6x from one side and then the other side 2x-5=3
Add 5 from one side and then the other 2x=8
Divide 2 on each side which gets you x=4
In a triangular prism, B usually stand for the triangular base of the prism. It is the area of the triangle.
Area of a right triangle = ab/2
a = long leg ; b = short leg
Given measures are:
a = 4 yd ; b = 3 yd
A = (4 yd * 3 yd)/2 = 12 yd² / 2 = 6 yd² is the value of B.
the hypotenuse is 5 yd but it is not needed to get the area of the right triangle base. 7 yd is the measure of the height of the triangular prism.
Answer:
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Step-by-step explanation:
O200 o200
Answer:
48 cubes
Step-by-step explanation:
step 1
Find the volume of one 1/2 unit cube
The volume of the cube is given by
![V=b^3](https://tex.z-dn.net/?f=V%3Db%5E3)
where
b is the length side of the cube
we have
![b=\frac{1}{2}\ units](https://tex.z-dn.net/?f=b%3D%5Cfrac%7B1%7D%7B2%7D%5C%20units)
substitute
![V=(\frac{1}{2})^3](https://tex.z-dn.net/?f=V%3D%28%5Cfrac%7B1%7D%7B2%7D%29%5E3)
![V=\frac{1}{8}\ units^3](https://tex.z-dn.net/?f=V%3D%5Cfrac%7B1%7D%7B8%7D%5C%20units%5E3)
step 2
Divide the volume of the prism by the volume of one cube
![6:\frac{1}{8}=6(8)=48\ cubes](https://tex.z-dn.net/?f=6%3A%5Cfrac%7B1%7D%7B8%7D%3D6%288%29%3D48%5C%20cubes)