Answer:
Adriana took care of 20 kids. And Brandy took care of 12 kids.
Step-by-step explanation:
Here,
Let us suppose Adriana took care of "x" number of children after school.
Then, by the question,
Brandy took care of 0.6 times as many children as adriana.
i.e. Brandy took care of =0.6*x children
So,
Total no. of children that they took care of is = ![x+0.6*x](https://tex.z-dn.net/?f=x%2B0.6%2Ax)
=![1.6*x](https://tex.z-dn.net/?f=1.6%2Ax)
The data given says they took care of 32 children,
so,
![1.6*x=32](https://tex.z-dn.net/?f=1.6%2Ax%3D32)
or,![x=\frac{32}{1.6}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B32%7D%7B1.6%7D)
∴![x=20](https://tex.z-dn.net/?f=x%3D20)
So, Adriana took care of 20 kids. And Brandy took care of (=0.6*20)=12 kids.
Answer:
A. ![-2\sqrt{2\pi }](https://tex.z-dn.net/?f=-2%5Csqrt%7B2%5Cpi%20%7D)
Step-by-step explanation:
![f(x)=sin(x^{2}+\pi )](https://tex.z-dn.net/?f=f%28x%29%3Dsin%28x%5E%7B2%7D%2B%5Cpi%20%20%29)
![f^{'}(x)=cos(x^{2} +\pi ) 2x](https://tex.z-dn.net/?f=f%5E%7B%27%7D%28x%29%3Dcos%28x%5E%7B2%7D%20%2B%5Cpi%20%29%20%202x)
![f^{'}(\sqrt{2\pi } )=cos(2\pi +\pi )2\sqrt{2\pi }](https://tex.z-dn.net/?f=f%5E%7B%27%7D%28%5Csqrt%7B2%5Cpi%20%7D%20%29%3Dcos%282%5Cpi%20%2B%5Cpi%20%292%5Csqrt%7B2%5Cpi%20%7D)
![f^{'} (\sqrt{2\pi } )=-1 (2\sqrt{2\pi } )](https://tex.z-dn.net/?f=f%5E%7B%27%7D%20%28%5Csqrt%7B2%5Cpi%20%7D%20%29%3D-1%20%282%5Csqrt%7B2%5Cpi%20%7D%20%29)
The answer is given below
Answer:
Step-by-step explanation:
Beatrice's conclusion is wrong
All of these points are not on the same line, because are different parallel lines
The slope between (-2,-1) and (1,0) is equal to 1/2
Let width be x
Area: 15√2
Diagonal; 4x
First, you need to find the length using pythagorean theorem.
a=x
c=4x
b=?
Solve this in terms of x and you will find the solution to be; √15x²
Knowing this, plug the number back into the area formula to find the value of x,
(x)(√15x²)=15√2
...
..
x⁴=30
Length= √(15√(30))
Do the calculations just to be sure
Hope I helped :)