Answer:
8.06 is the best buy
Step-by-step explanation:
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:
1. 15°
2.64°
3. 50°
4.38°
Step-by-step explanation:
Answer:
5√2
Step-by-step explanation:
The 45-45-90 triangle theorem states that the length of a triangle's hypotenuse is √2 times the length of the triangle's leg. In this problem, the triangle's leg is equal to 5, meaning that the hypotenuse would be 5 x √2, which is equal to 5√2.
The answer to your question is Y=0