9514 1404 393
Answer:
b = √32
Step-by-step explanation:
The Pythagorean theorem tells you the relation between the side lengths is ...
2² + b² = 6²
b² = 36 -4 = 32
b = √32
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<em>Additional comment</em>
This radical can be simplified by removing a square from under the radical.
Answer:
x=3
Step-by-step explanation:
the sides MJ and MK should be equal so 12x-24 = 4x
if you isolate x you get 3
If y is the red marbles and x is the blue marbles, then for every x value you would be able to multiply by 2 to get the y value... it is the equivalent of looking at is as the slope rise/run or 2/1
D is the graph that shows this relationship. Look at the x value and multiply by 2 for the y value.
Answer:
D)The height of the red prism is three times the height of the blue prism
Step-by-step explanation:
Here is the complete question
Two rectangular prisms have the same volume. The area of the base of the blue prism is 2 1/6 square units. The area of the base of the red prism is one third that of the blue prism.
which statement is true?
a)The height of the red prism is one-third the height of the blue prism
B)The height of the red prism is the same as the height of the blue prism
C)The height of the red prism is six times the height of the blue prism.
D)The height of the red prism is three times the height of the blue prism
Solution
Since both prisms have the same volume, V = A₁h₁ = A₂h₂ where A₁ and A₂ are the areas of the red and blue prisms respectively and h₁ and h₂ are the heights of the red and blue prisms respectively. For the question, A₁ = A₂/3. Substituting this into the equation, A₁h₁ = A₂h₂
A₂h₁/3 = A₂h₂
h₁ = 3h₂ . So the height of the red prism is thee times the height of the blue prism.
15x = 3x + 120 (subtract both sides by 3x)
12x = 120 (divide both sides by 12)
x = 100
