Mr. Alvarez wants to make a gate that is three
feet wide and five feet high. He needs to cut a
board to nail across the diagonal of the gate.
How long a board does he need?

Mr. Alvarez needs a board of length 5.83 feet

Step-by-step explanation:

Step 1 :

Given

Width of the gate = 3 feet

Height of the gate = 5 feet

We need to find the board's length to fix across the diagonal of the gate

Step 2 :

The gate is in the shape of a rectangle with sides 3 and 5 feet. So we need to find this rectangle's diagonal . Let l be the diagonal's length

Using Pythagoras theorem,

l² = 5² + 3²  = 25 + 9 = 34

=> l = √34  = 5.83 feet

Step 3 :

Answer :

Mr. Alvarez needs a board of length 5.83 feet

the median here is 25. your lowest value is 14 and highest value is 48. to find the third quartile, find the medium number in between 25 and 48 which would be 42 i believe.

(1, –1), (16, –4), (36, –6)

step-by-step explanation:

given that the function is

this can also be written as

we have to graph this function and check which list of points lie on the graph

see attachment for graph:

we find that the points lying are (1,-1) (16,-4) and (36,-6)

since square root is there we find that x can only be posiitve but y can be since square root both positive and negative.