Answer:
![\large\boxed{\sqrt[3]{3^{15}}=243}](https://tex.z-dn.net/?f=%5Clarge%5Cboxed%7B%5Csqrt%5B3%5D%7B3%5E%7B15%7D%7D%3D243%7D)
Step-by-step explanation:
![\sqrt[3]{3^{15}}\\\\\text{use}\ (a^n)^m=a^{nm}\\\\=\sqrt[3]{3^{5\cdot3}}=\sqrt[3]{(3^5)^3}\\\\\text{use}\ \sqrt[n]{a^n}=a\\\\=3^5=243](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B3%5E%7B15%7D%7D%5C%5C%5C%5C%5Ctext%7Buse%7D%5C%20%28a%5En%29%5Em%3Da%5E%7Bnm%7D%5C%5C%5C%5C%3D%5Csqrt%5B3%5D%7B3%5E%7B5%5Ccdot3%7D%7D%3D%5Csqrt%5B3%5D%7B%283%5E5%29%5E3%7D%5C%5C%5C%5C%5Ctext%7Buse%7D%5C%20%5Csqrt%5Bn%5D%7Ba%5En%7D%3Da%5C%5C%5C%5C%3D3%5E5%3D243)
See the picture in the attached figure
we know that
There are six important properties of parallelograms to know:
<span>1) Opposite sides are congruent (AB = DC).
2) Opposite angels are congruent (D = B).
3) Consecutive angles are supplementary (A + D = 180°).
4) If one angle is right, then all angles are right.
5) The diagonals of a parallelogram bisect each other.<span>6) Each diagonal of a parallelogram separates it into two congruent triangles.
so
if t</span></span>he diagonals of a parallelogram bisect each other
then
AE=EC
AC=AE+EC------> AC=2*AE----> AE=AC/2----> AE=18/2----> AE=9 units
the answer isAE=9 units
Answer:x=9.7
Step-by-step explanation:
Geometry hurts my brain too I hope this helps your brain hurt less :)
1.Use SOH-CAH-TOA
2.Figure out which side to use besides x
3. Insert them into format (I used tan)
4.Plug them into calculator
5.And you’ll get x
Picture helps better show what I mean…
Answer:
set X/Y = {0,23}
Step-by-step explanation:
We are given the sets;
X = {0, 12, 23}
Y = {3, 12, 15}
Now, we want to find the set X/Y.
The set X/Y means the set that has numbers which are only in set X but not in set Y.
The numbers from inspection of both sets are 0 and 23.
Thus;
set X/Y = {0,23}