28 cell phone cases in all.
6 of the 28 cases are fabric.
6/28 simplified to 3/14
So the answer to your question would be 3/14
Hope this helps! :)
Biannual and semiannual can be used interchangeably; they both mean “twice a year<span>.” But biennial describes something that occurs every two </span>years<span>.
</span>
Answer:x=4
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
4−3x=8−4x
4+−3x=8+−4x
−3x+4=−4x+8
Step 2: Add 4x to both sides.
−3x+4+4x=−4x+8+4x
x+4=8
Step 3: Subtract 4 from both sides.
x+4−4=8−4
x=4
Answer: ![4\sqrt{3}](https://tex.z-dn.net/?f=4%5Csqrt%7B3%7D)
Step-by-step explanation:
For this exercise it is important to remember the following:
![i=\sqrt{-1} \\\\i^2=-1](https://tex.z-dn.net/?f=i%3D%5Csqrt%7B-1%7D%20%5C%5C%5C%5Ci%5E2%3D-1)
Given the following expression:
![-2i\sqrt{-12}](https://tex.z-dn.net/?f=-2i%5Csqrt%7B-12%7D)
You can notice that the radicand (the number inside the square root) is negative. Therefore, in order to simplify the expression, you need to follow these steps:
1. Replace
with
and simplify:
![(-2i)(i)\sqrt{12}=-2i^2\sqrt{12}=-2(-1)\sqrt{12}=2\sqrt{12}](https://tex.z-dn.net/?f=%28-2i%29%28i%29%5Csqrt%7B12%7D%3D-2i%5E2%5Csqrt%7B12%7D%3D-2%28-1%29%5Csqrt%7B12%7D%3D2%5Csqrt%7B12%7D)
2. Descompose 12 into its prime factors:
![12=2*2*3=2^2*3](https://tex.z-dn.net/?f=12%3D2%2A2%2A3%3D2%5E2%2A3)
3. Substitute into the expression:
![=2\sqrt{2^2*3}](https://tex.z-dn.net/?f=%3D2%5Csqrt%7B2%5E2%2A3%7D)
4. Since
, you can simplify it:
![=(2)(2)\sqrt{3}=4\sqrt{3}](https://tex.z-dn.net/?f=%3D%282%29%282%29%5Csqrt%7B3%7D%3D4%5Csqrt%7B3%7D)
Answer:
![x=33^{\circ}](https://tex.z-dn.net/?f=x%3D33%5E%7B%5Ccirc%7D)
Step-by-step explanation:
First off, your drawing is kinda inaccurate, because the
looks like a right angle, but as you drew it yourself it doesn't matter too much.
We know that the sum of the angles of a triangle will always equal
, so we have that
.
Combining like terms on the left side gives
.
Subtracting
from both sides gives
.
So,
and we're done!