Answer:
x=5y-35
Step-by-step explanation:
Answer:
The number of bracelets with she start are 48.
Step-by-step explanation:
Given:
Julia was recently given 9 bracelets. She plans to give 1/3 of her bracelets. She will be left with 23.
Now, we need to find with how many did she start.
Let the bracelets with she start be
.
She plans to give
=
.
According to question:
![x-9-\frac{x}{3}=23](https://tex.z-dn.net/?f=x-9-%5Cfrac%7Bx%7D%7B3%7D%3D23)
On solving the equation:
![\frac{3x-27-x}{3} =23](https://tex.z-dn.net/?f=%5Cfrac%7B3x-27-x%7D%7B3%7D%20%3D23)
<em>Multiplying both sides by 3 we get:</em>
![3x-27-x=69](https://tex.z-dn.net/?f=3x-27-x%3D69)
![2x-27=69](https://tex.z-dn.net/?f=2x-27%3D69)
<em>Adding both sides by 27 and then dividing by 2 we get:</em>
![x=48](https://tex.z-dn.net/?f=x%3D48)
Therefore, the number of bracelets with she start are 48.
Answer:
2 in
Step-by-step explanation:
Answer:
37.5 cm
Step-by-step explanation:
See attached for reference.
let the diagonal be x,
By Pythagorean formula:
x² = (22.5)² + (30)²
x = √[(22.5)² + (30)²]
x = 37.5 cm
So hmmm let's do the left-hand-side first
![\bf \cfrac{sec(x)-csc(x)}{sec(x)+csc(x)}\implies \cfrac{\frac{1}{cos(x)}-\frac{1}{sin(x)}}{\frac{1}{cos(x)}+\frac{1}{sin(x)}}\implies \cfrac{\frac{sin(x)-cos(x)}{cos(x)sin(x)}}{\frac{sin(x)+cos(x)}{cos(x)sin(x)}} \\\\\\ \cfrac{sin(x)-cos(x)}{cos(x)sin(x)}\cdot \cfrac{cos(x)sin(x)}{sin(x)+cos(x)}\implies \boxed{\cfrac{sin(x)-cos(x)}{sin(x)+cos(x)}}](https://tex.z-dn.net/?f=%5Cbf%20%5Ccfrac%7Bsec%28x%29-csc%28x%29%7D%7Bsec%28x%29%2Bcsc%28x%29%7D%5Cimplies%20%5Ccfrac%7B%5Cfrac%7B1%7D%7Bcos%28x%29%7D-%5Cfrac%7B1%7D%7Bsin%28x%29%7D%7D%7B%5Cfrac%7B1%7D%7Bcos%28x%29%7D%2B%5Cfrac%7B1%7D%7Bsin%28x%29%7D%7D%5Cimplies%20%0A%5Ccfrac%7B%5Cfrac%7Bsin%28x%29-cos%28x%29%7D%7Bcos%28x%29sin%28x%29%7D%7D%7B%5Cfrac%7Bsin%28x%29%2Bcos%28x%29%7D%7Bcos%28x%29sin%28x%29%7D%7D%0A%5C%5C%5C%5C%5C%5C%0A%5Ccfrac%7Bsin%28x%29-cos%28x%29%7D%7Bcos%28x%29sin%28x%29%7D%5Ccdot%20%5Ccfrac%7Bcos%28x%29sin%28x%29%7D%7Bsin%28x%29%2Bcos%28x%29%7D%5Cimplies%20%5Cboxed%7B%5Ccfrac%7Bsin%28x%29-cos%28x%29%7D%7Bsin%28x%29%2Bcos%28x%29%7D%7D)
now, let's do the right-hand-side then