1/3 + 1/6
---Find a common denominator, or the least common multiple of the given denominators. In this case, that would be 6.
1/3 = 2/6
1/6 = 1/6
---Now add the fractions
2/6 + 1/6
3/6
---Simplify/Reduce the fraction
3/6
1/2
Answer: 1/2
1/3 + 1/6 = 2/6 + 1/6 = 3/6 (or 1/2)
Hope this helps!
Answer:
Given the statement: Kite QRST has a short diagonal of QS and a long diagonal of RT. The diagonals intersect at point P.
Properties of Kite:
- The diagonals are perpendicular
- Two disjoint pairs of consecutive sides are congruent by definition of kite
- One diagonal is the perpendicular bisector to the other diagonal.
It is given that: Side QR = 5m and diagonal QS = 6m.
Then, by properties of kite:
![QP = \frac{1}{2}QS](https://tex.z-dn.net/?f=QP%20%3D%20%5Cfrac%7B1%7D%7B2%7DQS)
Substitute the value of QS we get QP;
= 3 m
Now, in right angle ![\triangle RPQ](https://tex.z-dn.net/?f=%5Ctriangle%20RPQ)
Using Pythagoras theorem:
![QR^2= RP^2 +QP^2](https://tex.z-dn.net/?f=QR%5E2%3D%20RP%5E2%20%2BQP%5E2)
Substitute the given values we get;
![(5)^2= RP^2 +(3)^2](https://tex.z-dn.net/?f=%285%29%5E2%3D%20RP%5E2%20%2B%283%29%5E2)
or
![25= RP^2 +9](https://tex.z-dn.net/?f=25%3D%20RP%5E2%20%2B9)
Subtract 9 from both sides we get;
![16= RP^2](https://tex.z-dn.net/?f=16%3D%20RP%5E2)
Simplify:
![RP = \sqrt{16} = 4 m](https://tex.z-dn.net/?f=RP%20%3D%20%5Csqrt%7B16%7D%20%3D%204%20m)
Therefore, the length of segment RP is, 4m
Answer:
The total number of ways to give the answer of the question is 16777216.
Step-by-step explanation:
Total number of questions = 24
The number of possibilities so that the answer is given is only 2. It is either true or false.
So, the total number of ways to complete the test is
![2^{24} = 16777216](https://tex.z-dn.net/?f=2%5E%7B24%7D%20%3D%2016777216)
After 3 seconds it's been descending for 3 seconds at a rate of 2 feet per second. So it's gone down 6 feet, and now it's at a height of 67. So it started off at 73.
<span>Its height after x seconds is 73 - 2x. (73 to start off with, minus 2 feet per second that's passed.) </span>
<span>After 8 seconds it will be at a height of 73 - 2*8 = 73 - 16 = 57.</span>