Answer:
706.5 ft²
Step-by-step explanation:
A. Width of the rectangle
The formula for the area of a rectangle is
A = lw
But, l = 3w, so,
A = (3w)w
= 3w² = 12
w² = 4 Divided each side by 3
w = 2 ft Took the square root of each side
B. Length of rectangle
l = 3w = 6 ft
C. Diameter of circle
d = 5l = 5 × 6 = 30 ft
D. Radius of circle
d = 2r
r = d/2 Divided each side by 2
r = 30/2 = 15 ft
E. Area of circle
A = πr² = 3.14 × 15² = 3.14 × 225 = 706.5 ft²
The area of the circle is 706.5 ft².
Answer:
s = 10w
Step-by-step explanation:
We can find the equation in <u>slope-intercept form</u> which is y = mx + b. The variables mean:
"b" - for the y-intercept (where the graph hits the y-axis)
"m" - for the slope (how steep the line is)
"x" and "y" - coordinates that satisfy the equation (points on the line)
From the graph, we can see that the y-intercept is 0. b = 0, therefore we do not need to write it in the equation.
To find the slope, "m", use the equation
. To use it, substitute the coordinates for two points. Using the diagram, choose a point 1 and a point 2.
Point 1 (0, 0) x₁ = 0 y₁ = 0
Point 2 (1, 10) x₂ = 1 y₂ = 10
Substitute values
Subtract to simplify
Simplify the fraction
m = 10 Slope of the line
Since we know "m" and "b", we can write the equation:
y = mx + b
y = 10x + 0
y = 10x
We are not using "x" and "y" in this case. Change them according to the question.
x => w
y => s
y = 10x => s = 10w
Answer:
100 miles
follow the line up from 5
15x-10=20
+10 +10
15x=30
\15 /15
x=2
you add 10 to both -10 (they cancek eachother out) and 20 (equals 30)
Then you divide 30 by 15 (equals 2) and 15 by 15 (they cancel eachother out)
Then you get x=2
Answer: 
Step-by-step explanation:
The midline of the function is

This means that to obtain a maximum of 10, when
reaches it's maximum, 1, 