Answer F(a)= -23 !!!!!!!!!
Answer:
244.92 ft^2
Step-by-step explanation:
Find out the surface area of 1 fence post.
It has 2 circular parts (a bottom and a top)
r = d / 2
r = 1 / 2
r = 0.5 feet.
Area = 3.14 * 0.5^2
area = 3.14 * 0.25
Area = 0.785
Each post has 2 such shapes. 2 * 0.785 = 1.57
There are 12 posts with areas of 1.57 on the bottom and top = 18.84 ft^2
Find the area of the long part of the post
h = 6 feet
circumference = 2* pi * r
circumference = 2* 3.14 * .5
circumference = 3.14
The height is 6 feet.
The area of the body of the pole 6 *circumference = 6 * 3.14 = 18.84 ft^2
There are 12 poles.
Total area = 12 *18.84 ft^2 = 226.08
Total area = 12 bodies + 24 ends
Total area = 226.08 + 18.84
Total area = 244.92
Answer:
23°
Step-by-step explanation:
Let the interior angles of ΔABC be referenced by A, B, and C. The definition of point D means that ΔDAB is an isosceles triangle, so we have the relations ...
A + B + 118 = 180 . . . . interior angles of ΔABC
A = B +16 . . . . . . . . . . base angles of ΔDAB
Using the expression for A in the second equation to substitute into the first equation, we get ...
(B+16) +B +118 = 180
2B + 134 = 180 . . . . . collect terms
2B = 46 . . . . . . . . . . . subtract 134
B = 23 . . . . . . . . . . . . divide by 2
m∠ABC = 23°
Answer:
make the y int -4 because it passes through (0,-4). to make perpendicular, apply same slope to new equation but change sign
equation:
3x -4
7X-4=6X-4-X
7X-6X+X=0
2X=0
X=0
