We have the following fractional expression:
12
-------- is the same as
12^3
12^1
-------
12^3
We want to simplify this expression. To do so, we need the formula for exponents as follows:
x^a / x^b = x^(a-b).
In this particular problem we have
12^1 / 12^3, and know by this formula that the correct result is 12^(1-3), or 12^(-2), which is equivalent to 1 / 144.
Answer:
1/5
Step-by-step explanation:
you divide the amount of green jelly beans by the total amount of jelly beans in the jar, which gives you 10/50 or 1/5.
Answer:
Yes, the triangles are similar by SAS
Step-by-step explanation:
Looking at the picture, we see that there are two triangles with side lengths of different sides. We can deduce that the scale factor is 1 2/3, because 8 divided by 4.8 is 1 2/3, and 10 divided by 6 is the same. Now that we have clarified that the triangles share the same scale factor, we notice that the angle is also the same, as mentioned in the picture. This leads us to say that the triangles are similar by the SAS similarity theorem (Side, Angle, Side). I hope this helped and please don't hesitate to reach out with more questions!
That's 5 lengths for a three sided shape... Are you sure that is the instructions?
If 3/10 cup is 2/5 full, then the bowl holds:
(3/10) / (2/5)
(3/10)/(2/5) = 3/10 * 5/2 = 15/20 = 3/4
The bowl holds 3/4 of a cup
