Since, a regular hexagon has an area of 750.8 square cm and The side length is 17 cm.
We have to find the apothem of the regular hexagon.
The formula for determining the apothem of regular hexagon is , where 's' is any side length of regular hexagon and 'n' is the number of sides of regular hexagon.
So, apothem =
=
=
= 14.78 units
Therefore, the measure of apothem of the regular hexagon is 14.7 units.
Option B is the correct answer.
Answer:
1. A
2. D
3. D
Step-by-step explanation:
The standard form of a parabola is
..... (1)
Where, (h,k) is vertex, (h,k+p) is focus and y=k-p is directrix.
1. The directrix of a parabola is y=−8 . The focus of the parabola is (−2,−6) .
...(a)
.... (b)
On solving (a) and (b), we get k=-7 and p=1.
Put h=-2, k=-7 and p=1 in equation (1).
Therefore option A is correct.
2 The directrix of a parabola is the line y=5 . The focus of the parabola is (2,1) .
...(c)
.... (d)
On solving (c) and (d), we get k=3 and p=-2.
Put h=2, k=3 and p=-2 in equation (1).
Therefore option D is correct.
3. The focus of a parabola is (0,−2) . The directrix of the parabola is the line y=−3 .
...(e)
.... (f)
On solving (e) and (f), we get k=-2.5 and p=0.5.
Put h=0, k=-2.5 and p=0.5 in equation (1).
Therefore option D is correct.
Answer:
4/3 k Km
Step-by-step explanation:
We are given that
On Monday
Mason ran distance =k Km
On Tuesday
Mason ran distance=
We have to find the expression which represents the distance ran by Mason on both days.
Total distance ran by Mason on both days
=
Hence, total distance ran by Mason on both days=4/3 k Km