Height of the pentagon = 9 ft
Edge of base = 3 ft
s is the length of any side = 3
n is the number of sides = 5
tan is the tangent function calculated in degrees
Volume of the pentagon = area of base (height )
Volume of the pentagon = 15.4852 (9)
Volume of the pentagon = 139.366
Volume of the pentagon = 139.37 cu.ft
Answer:
y+7 = -3 ( x-4)
Step-by-step explanation:
First find two points on the graph to find the slope
( 1,2) and ( 3,-4)
The slope is given by
m = ( y2-y1)/(x2-x1)
m = ( -4-2)/(3-1)
= -6/2
=-3
We can use the point slope form
y - y1 = m(x-x1) where m is the slope and x1,y1 is a point on the line
We have two choices with a slope of -3
We can either use and x coordinate of -2 or 4
for -2, the y coordinate is not shown
for 4 , the y coordinate is -7
Using ( 4, -7) and m = -3
y--7 = -3( x- 4)
y+7 = -3 ( x-4)
Answer:
17,37
Step-by-step explanation:
one number = x
The positive number = 2x + 3
x * (2x+3) = 629
x*2x + x *3 = 629
2x² + 3x - 629 = 0
2x² - 34x + 37x - 17*37 =0
2x*(x -17) + 37(x - 17) = 0
(x - 17)(2x + 37) = 0
x - 17 = 0 ; Ignore 2x + 37 as s is a positive number
x = 17
Positive number = 2*17 +3 = 34+3 = 37
