A chord and a radius form an equilateral triangle.
The area of the larger segment is:
A = 5/6 r² π + r²√3/2 = 5/6 · 64 · 3.14 + 32 · 1.73 =
= 167.47 + 55.36 = 222.83 in²
Answer:
A = 504inch
Step-by-step explanation:
Formula = A = 2(wl + hl + hw)
or A = 2wl + 2lh + 2hw, where w is the width, the l is the length, and the h is the height.
2wl = 6inch × 12inch = 72inch × 2 = 144inch
2lh = 12inch × 10inch = 120inch × 2 = 240inch
2hw = 10inch × 6inch = 60inch × 2 = 120inch
Then add all
144inch + 240inch + 120inch = 504inch
A = 504inch
If two triangles are similar, the correspondant sides are in proportion. So, the proportion is

Answer:

Step-by-step explanation:
<u>Slope-intercept form</u>
y= mx +c, where m is the slope and c is the y-intercept
f(x)= -2x +4
Let's rewrite this function into an equation, in the slope-intercept form.
y= -2x +4
Slope= -2
The product of the slopes of perpendicular lines is -1.
Let the slope of the perpendicular line be m.
m(-2)= -1
m= ½
y= ½x +c
To find the value of c, substitute a pair of coordinates into the equation.
When x= -4, y= -1,
-1= ½(-4) +c
-1= -2 +c
c= -1 +2
c= 1
Thus, the equation of the line is y= ½x +1.