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
It's greater because a positive is greater than a negative
Answer:
(0,0), (0, 3), (-3, 3), (-3,0)
Step-by-step explanation:
The matrix multiplication is shown in the attachment. The transformed coordinates are ...
(0,0), (0, 3), (-3, 3), (-3,0)
_____
You can count the instances of -3 in the result matrix to choose the correct answer.
The first step would be to divide both sides by 2...because u want to get the absolute value on one side, and everything else on the other side
2 | x + 5 | = 16...divide both sides by 2
| x + 5 | = 16/2
| x + 5 | = 8
u would then solve x + 5 = 8 and x + 5 = -8 for ur answers
20 ÷ (5 × 2 - 6) + 8=20:(10-6)+8=20:4+6=5+6=11
(20 ÷ 5) × 2 – 6 + 8=4*2-6+8=8-6+8=2+8=10
20 ÷ (5 × 2) – 6 + 8=20:10-6+8=2-6+8=-4+8=4
(20 ÷ 5) × (2 – 6) + 8=4*(-4)+8=-16+8=-8