Answer:the height of the flagpole is 27.12 ft
Step-by-step explanation:
The wire makes an angle with the ground and forms a right angle triangle with the flag pole. The length of the wire represents the hypotenuse of the right angle triangle. The height of the flag pole and the ground distance from the wire represents the adjacent and opposite sides respectively.
To determine the height of the flagpole, x we would apply Pythagoras theorem which is expressed as
Hypotenuse² = opposite side² + adjacent side²
31² = x² + 15²
x² = 961 - 225 = 736
x = √736. = 27.12 ft
You must consider the three couples of points, before and after the dilation.
The bottom-left point was (3,3) and it becomes (4,5). The line connecting these two points is y = 2 x - 3
The bottom-right point was (6,3) and it becomes (10,5). The line connecting these two points is y = x/2
The top point points was (5,4) and it becomes (8,7). The line connecting these two points is y = x-1.
Those three lines meet at (2,1), and thus this is the center of dilation.
Volume of a cylinder: V = π * r² * h,
Base surface area of a cylinder: A_b = 2 * π * r²,
Lateral surface area of a cylinder: A_l = 2 * π * r * h,
Total surface area of a cylinder: A = A_b + A_l,
Longest diagonal of a cylinder: d² = 4 * r² + h²,
Surface-area-to-volume ratio of a cylinder: SA:V = A / V = 2 * (r + h) / (r * h)
answer
f(-5)=115
Step-by-step explanation:
x+5=0
x=-5
f(x)=3x^2-7x+5
f(-5)=3*(-5)^2-7(-5)+5
f(-5)=3*25+35+5
f(-5)=115
