I hope this helps you
1 and 2 complimentary angles,their sum equal 180 degree.
10x+4+5x-4=180
15x=180
x=12
2=5.12-4=60-4=56
We want the seconds to be converted in hours to work out the speed, so:
7200Seconds /60 / 60 =2 Hours
150 / 2 = 75
Therefore the car travels at 75kmh.
Answer: 15
Step-by-step explanation:
Given: The present ratio of students to teachers at a certain school is
to
. If the student enrollment were to increase by
students and the number of teachers were to increase by
, the ratio of students to teachers would then be
to
.
To Find: What is the present number of teachers.
Solution:
let the number of teachers in schools are ![=\text{x}](https://tex.z-dn.net/?f=%3D%5Ctext%7Bx%7D)
As the current ratio of students to teachers is
to ![1](https://tex.z-dn.net/?f=1)
Number of students in school are ![=30\text{x}](https://tex.z-dn.net/?f=%3D30%5Ctext%7Bx%7D)
Now,
If number of student enrollment and teachers were to increase by
and
respectively.
New number of students in school would be ![=30\text{x}+50](https://tex.z-dn.net/?f=%3D30%5Ctext%7Bx%7D%2B50)
New number of teacher in school would be ![\text{x}+5](https://tex.z-dn.net/?f=%5Ctext%7Bx%7D%2B5)
new ratio of students to teachers is ![25:1](https://tex.z-dn.net/?f=25%3A1)
![\frac{30\text{x}+50}{\text{x}+5}=\frac{25}{1}](https://tex.z-dn.net/?f=%5Cfrac%7B30%5Ctext%7Bx%7D%2B50%7D%7B%5Ctext%7Bx%7D%2B5%7D%3D%5Cfrac%7B25%7D%7B1%7D)
![30\text{x}+50=25\text{x}+125](https://tex.z-dn.net/?f=30%5Ctext%7Bx%7D%2B50%3D25%5Ctext%7Bx%7D%2B125)
![5\text{x}=75](https://tex.z-dn.net/?f=5%5Ctext%7Bx%7D%3D75)
![\text{x}=15](https://tex.z-dn.net/?f=%5Ctext%7Bx%7D%3D15)
Hence the number of teachers in school is ![15](https://tex.z-dn.net/?f=15)
Answer:
I got $9.65 but you could just pick the closest to that
Step-by-step explanation:
I multiplied 48.25 x 0.20 to get 20% of 48.25.
Answer:
Step-by-step explanation:
![sin60=\frac{\sqrt{3}{2}}\\ \\ \frac{9}{x}\\ \\ x=\frac{18}{\sqrt{3}}\\ \\ x=\frac{18\sqrt{3}}{3}\\ \\ x=6\sqrt{3}](https://tex.z-dn.net/?f=sin60%3D%5Cfrac%7B%5Csqrt%7B3%7D%7B2%7D%7D%5C%5C%20%5C%5C%20%5Cfrac%7B9%7D%7Bx%7D%5C%5C%20%5C%5C%20x%3D%5Cfrac%7B18%7D%7B%5Csqrt%7B3%7D%7D%5C%5C%20%5C%5C%20x%3D%5Cfrac%7B18%5Csqrt%7B3%7D%7D%7B3%7D%5C%5C%20%5C%5C%20x%3D6%5Csqrt%7B3%7D)