Let us use the Pythagorean theorem in identifying what triangle can be formed.
Let us assume that the 2 wooden dowels each measure 8 inches. We cut off one wooden dowel into half, so it becomes 2 pcs of 4 inches each.
The 3 wooden dowels now measure, 4 inches, 4 inches, and 8 inches.
The Pythagorean theorem states:
a² + b² = c²
4² + 4² = 8²
16 + 16 = 64
34 ≠ 64
The measure of the cut wooden dowel must be longer than the uncut wooden dowel to create a triangle.
I also tried this on a piece of paper, I cut each piece according to the assumed measure. No triangle can be formed under this activity.
Answer:
The volume of the prism is 6 unit³
Step-by-step explanation:
In order to calculate the volume of the prism we first need to calculate the volume of each cube. The volume of a cube is given by the formula below:
volume cube = a³
Where a is the length of the side of the cube. So each cube has a volume of:
volume cube = (1/2)³ = 1/8 unit³
Since the cubes are filling the prism, the volume of the prism is the sum of the volume of all the cubes, in this case 48. Since all the cubes are equal, we can multiply the number of cubes by the volume of one cube in order to calculate the volume of the prism. We have:
volume prism = 48*volume cube
volume prism = 48*(1/8) = 6 unit³
Answer:
x= 0.4, or x = 2/5
Step-by-step explanation:
To find x you have to replace f(x) with 0 and solve for x
Hope this helps:)
* This means multiplication.
^ This means exponent.
2*2 = 2×2
2^2 = 2²
Answer:
B. $8 profit
Step-by-step explanation:
Loss is negative and profit is positive
Monday : -11
Tuesday: +18
Wednesday: -7
Thursday: +8
------------
+8
We have a profit of 8