Answer:
Total area = 6(16√3) = 96√3
Step-by-step explanation:
Important that you understand the meaning of "apothem," looking that up on the 'Net if necessary. A regular hexagon can be broken down into 6 identical, pie-slice-shaped figures; we find the area of the hexagon by finding the area of one such slice and multiplying the result by 2.
An apothem is a line from the center of the circle to the edge of the slice, perpendicular to that edge, representing the height of the slice as measured from that edge to the center of the circle. There are 6 such slices. The apothem is also a measure of the height of such a triangular slice. If the radius is 8, then half the base of the slice is found using the Pythagorean Theorem: (b/2)² + (4√3)² = 8².
Then (b²/4) + 16(3) = 64, or
b²/4 = 64 - 48, or b²/4 = 16, which yields b² = 64, or b = 8.
Then the area of one slice is A = (1/2)*(base)(height) = (1/2)(8)(4√3), or
A = 16√3. Multiply this result by 6 to find the area of the entire hexagon:
Total area = 6(16√3) = 96√3
Answer:
truck is 100mph
Step-by-step explanation:
Find area of room
aera=legnth wtimes width
in a square, legnth=width
aera=legnth^2
legnth=14 feet
convert o inches
14*12=168 inches
area=168^2=28224 square inches
how many tiles will cover all of floor?
aka
how many 192 in^2 is at least 28224 (at least, because we need to cover the whole floor without gaps)
192x<u>></u>28224
divide both sides by 192
x<u>></u>147
147 is the number of tiles we need
Hello from MrBillDoesMath!
Answer:
Range = { -11, -5, 4, 10}
Discussion:
g(x) = 3x- 5 =>
g(-2) = 3(-2) -5 = -6 -5 = -11
g(0) = 3(0) - 5 = 0 -5 = -5
g(3) = 4(3)-5 = 9-5 =4
g(5) = 3(5)-5 =15-5 = 10
So the range is { -11, -5, 4, 10}
Thank you,
MrB