Hi there!
1/4 is a rational number.
Any number that can be written as a fraction is a rational number.
~ Hope this helps you ~
Answer:
HJ = 8 JE = 4
Step-by-step explanation:
it is given that H is the midpoint of GE and J is the midpoint of FE. According to the midpoint theorem the line segment connecting the midpoint of two sides is parallel to the three side and its length is half of the third side. since JH is connecting the midpoints.
HJ= 1/2 (GF)
x + 3 = 1/2 (4x - 4)
x + 3 = 2x - 2
x = 5
^ Thus meaning the value of x is 5.
Now you just fill into your equations:
HJ = x + 3 = (5) + 3 = 8
JE = x - 1 = (5) - 1 = 4
Therefore, HJ = 8; JE = 4.
The rate of change of the size of the diagonal is; 25.2 ft/s
By Pythagoras theorem;
The length, l of a diagonal of a rectangle whose sides have lengths x and y is;
In essence; the length of the diagonal is dependent on the length, x and y of the sides.
Therefore;
(dl/dt)² = (dx/dt)² + (dy/dt)²
where;
- (dx/dt) = 19 ft/s
- (dy/dt) = -15 ft/s
Therefore,
(dl/dt)² = 19² + (-15)²
(dl/dt)² = 361 + 225
dl/dt = √586
dl/dt = 25.2
Therefore, the size of the diagonal is changing at a rate of; 25.2 ft/s.
Read more;
brainly.com/question/12559989
144/36 in lowest terms is 4.
To show my work, here.
1. Find the GCF of 144 and 36 so now we divide (144/36 = 4 and 36/36 is 1)
2. Now we have 4/1 so we simplify again so divide 4/1 and its 4