In order to prove the triangle is a right angled triangle we need to prove that the slope of the lines CA and BC and AB have any negative reciprocals.Lets find the slopes .
AB=(-1,3), (1,2) slope of AB = 2-3/1-(-1)= -1/2 slope of AB is -1/2
BC = (1,2), (-3,1) slope of BC is 1-2/-3-1= -1/-4 slope of BC is 1/4
Slope of CA =(-3,1)(-1,3) slope of 3-1/-1-(-3)=-2/-2=1
Since the slopes do not have any negative reciprocals so the triangle is not a right angled triangle
Hello there!
First, we need to admit that math is a hard subject. So, how do we handle hard stuff? We find an easy way. Right?
Well same goes here. They give the fractions to drive us crazy. Let's find the easiest way...
The easiest way is to turn them into decimals.
1 3/7 = 1.42 which is the amount of pages he reads
2/3 = 0.67 minute.
The are asking us how many pages does he reads per minute.
So we gonna say:
Charlie reads 1.42 pages ......> 0.67
Charlie reads x pages.............> 1minute
Cross multiply
0.67 * x = 1 * 1.42
0.67x = 1.42
x = 1.42/0.67
x = 2.11
So, Charlie reads 2.11 pages in 1 minute.
I hope this helps. Please let me know if you have questions about the answer.
Thanks!
Answer:
8n^8
Step-by-step explanation:
n3*2*n5*4
=8*n8
8n^8
Answer: Assuming the riders starts at the position (20, 0) on the x-axis, the exact position of the rider will be (20cos75, 20sin75) or about (5.18, 19.32).
The angle for 5pi/12 radians is 75 degrees. Therefore, to find the position we can use the sine and cosine of 75 to find the x and y value of the coordinate.
For the y-value, we can write and solve:
sin75 = x/20
For the x-value, we can write and solve:
cos75 = x/20
One-fourth + one-sixth + one-third
<span>three plus two plus four /12 = 9/12 = 3/4 </span>
<span>So, balance = 1/4 = 1/4 times 20 = 5 pies which is the answer!
Hope this helps!! Pleaseeee, Hit that Thanks button ;D</span>