Answer:
17
Step-by-step explanation:
Let x be the first side
x+2 is the next side ( consecutive odd number)
x+4 is the third side ( consecutive odd number)
P = x + x+2 + x+4
45 = x + x+2 + x+4
Combine like terms
45 = 3x+6
Subtract 6 from each side
45-6 = 3x+6-6
39 = 3x
Divide by 3
39/3 = 3x/3
13 =x
The longest side is
x+4
13+4 = 17
The longest side is 17
Answer:
First some theory we need to solve this problem.
For a circle of radius R, the perimeter is:
P = 2*pi*R
where pi = 3.14
If we have a section of this circle, defined by an angle θ, the length of this arc will be:
A = (θ/360°)*2*pi*R
In the case of the problem, the total distance that the child travels is equal to the length of an arc of 310° in a circle of radius r = 6ft.
Using the above formula, we know that the length of this arc is:
A = (310°/360°)*2*3.14*(6ft) = 32.4 ft
Answer:
Graphing from slope
Step-by-step explanation:
To graph a linear equation in slope-intercept form, we can use the information given by that form. For example, y=2x+3 tells us that the slope of the line is 2 and the y-intercept is at (0,3). This gives us one point the line goes through, and the direction we should continue from that point to draw the entire line.