Answer:9/20
Step-by-step explanation: 45/100=9/20, 45÷5=9, 100÷5=20 both the denominater and the numerator are divisible by 5.
Answer:
Midpoint = (3.5, 4.5)
Perpendicular bisector = y =
x + ![\frac{16}{9}](https://tex.z-dn.net/?f=%5Cfrac%7B16%7D%7B9%7D)
Step-by-step explanation:
[] We can solve this using the midpoint formula:
-> See attached
[] Plug-in our coordinates and solve:
![(\frac{7+0}{2} ,\frac{0+9}{2} )=(\frac{7}{2} ,\frac{9}{2} )=(3.5,4.5 )](https://tex.z-dn.net/?f=%28%5Cfrac%7B7%2B0%7D%7B2%7D%20%2C%5Cfrac%7B0%2B9%7D%7B2%7D%20%29%3D%28%5Cfrac%7B7%7D%7B2%7D%20%2C%5Cfrac%7B9%7D%7B2%7D%20%29%3D%283.5%2C4.5%20%29)
[] Now we will find the slope to solve for the perpendicular bisector.
-> We will use slope-intercept form, see attached
![\frac{9-0}{0-7}=\frac{9}{-7}](https://tex.z-dn.net/?f=%5Cfrac%7B9-0%7D%7B0-7%7D%3D%5Cfrac%7B9%7D%7B-7%7D)
-> The slopes of two perpendicular lines are negative reciprocals of each other, so
will be the slope of or perpendicular bisector
-> Now we can solve for the equation by using y – y1 = m ( x – x1), were y1 and x1 are the coordinates of our midpoint
y - 4.5 =
(x-3.5)
y - 4.5 =
x-![\frac{49}{18}](https://tex.z-dn.net/?f=%5Cfrac%7B49%7D%7B18%7D)
y =
x-
+ 4.5
y =
x + ![\frac{16}{9}](https://tex.z-dn.net/?f=%5Cfrac%7B16%7D%7B9%7D)
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
Answer:
1) Rolling a 3 is unlikely and rolling a 4 is unlikely too.
2) The probability of niki drawing a green marble is likely and the probability of tom drawing a blue marble is unlikely.
Step-by-step explanation:
1) Since there is only one 3 out of 6 numbers, the probability of that outcome is 1/6, which is low. The same thing goes for throwing a 4.
2) The reason why it is equally likely for niki drawing a green is because there are more green marbles than the other marbles. You could see it as a fraction as well, which is 4/9 Which is very close to one half (4.5). For tom, there are less blue marbles which brings it down to the unlikely spot (fraction = 3/9)
Hopefully this helps, and hopefully it isn't too confusing.
The correct answer is a. 3125
That's because the letter can be used more than once, so if you start and try everything from aaaaa, to ttttt, the possibilities are huge and much larger than any of the lower numbers.
We have the formula A = (h x b) / 2, where A is the area of the triangle, h is the height of the triangle, b is the base of the triangle;
So, 32 =(8 x b) / 2;
Then, 64 = 8 x b;
b = 64 ÷ 8;
b = 8 inches;