Answer:
length: 16 m; width: 13 m
Step-by-step explanation:
Write each of the statements as an equation. You know that the formula for the perimeter is ...
P = 2(L +W)
so one of your equations is this one with the value of P filled in:
• 2L + 2W = 58
The other equation expresses the relation between L and W:
• L = W +3 . . . . . . . . the length is 3 meters greater than the width
There are many ways to solve such a system of equations. Since you have an expression for L, it is convenient to substitute that into the first equation to get ...
2(W+3) +2W = 58
4W +6 = 58 . . . . . . . simplify
4W = 52 . . . . . . . . . . subtract 6
W = 13 . . . . . . . . . . . .divide by 4
We can use the expression for L to find its value:
L = 13 +3 = 16
The length is 16 meters; the width is 13 meters.
The scenario that matches with the linear relationship shown in the table is option 2:
"Shanna had $ 10 in her piggy bank and earned $ 5 each week in allowance"
You could see that I had $ 10 initially in week zero and every two weeks I had $ 10 more. Therefore it can be inferred that every two weeks has won $ 10, that is, $ 5 each week
Answer:
The reference angle for the angle with measure -pi/4 is the angle pi/4
Step-by-step explanation:
The angle -pi/4 is in clockwise and the angle pi/4 is in counterclockwise
