The radius of a circle is 11 millimeters find the diameter
2 answers:
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The slope of a line can be found by graph using rise over run (). Look at the image below to see what this mean.
Rise = vertical
run = horizontal
I took two clear points on the line as seen below and drew a right angle that formed a right triangle with the line.
Now let's count how many units the rise is (look at the second image). This is 3 units
rise = 3
Count the units of the run (third image). This is 1 unit
run = 1
Let's put these two numbers together in the form:
or simplified = 3
However, this is not the final answer. This is a negative slope, meaning that when you look at the line from left to right (like when you are reading words) the line reaches from the top left corner to the bottom right corner. A positive slope (reading left to right) reaches from the bottom left corner to top right corner.
To signify that the slope is negative you simply add a negative sign to it:
-3
Let me know if you have any further questions.
If we consider "a" as the edge length, and "D" the cube's diagonal, we have that the square cube's diagonal is equal to the edge length's square plus the side diagonal (d) square (Pythagoras theorem)
a² + d² = D²
And since:
d² = a² + a²
Clearing a, we have:
a² = D²-d²
<span>a² = D²-2a²
</span><span>3a² = D²
</span>a = √(<span>D²/3)
</span>
Surface area is equal to 6·a², so the surface area will be 6·(D²/3) = 2D²
The volume is a³, so the volume will be √(D²/3)³ = √(
<span>/3</span>³<span>) = D</span>³/√27
a² + d² = D²
And since:
d² = a² + a²
Clearing a, we have:
a² = D²-d²
<span>a² = D²-2a²
</span><span>3a² = D²
</span>a = √(<span>D²/3)
</span>
Surface area is equal to 6·a², so the surface area will be 6·(D²/3) = 2D²
The volume is a³, so the volume will be √(D²/3)³ = √(