Answer:
Equation is;
(D/8) + (D/4) = 1600
D = 4266.67 ft
Step-by-step explanation:
We are told that the bee flies at a rate of 8ft/sec directly to a flowerbed from its hive. Thus,
speed during this stage is; v1 = 8ft/sec
Time during this stage is; t1
The bee stays at the flower bed for 1200 seconds.
Thus, time at this stage is; t2 = 1200 s
It flies directly back to the hive at 4ft/sec.
Speed at this stage; v2 = 4 ft/s
Time at this stage; t3
We are told that it was away for a total of 2800 seconds.
Thus; t1 + t2 + t3 = 2800
Since t2 = 1200 s, then;
t1 + 1200 + t3 = 2800
t1 + t3 = 2800 - 1200
t1 + t3 = 1600
Now, during time t1, the speed was 8ft/sec, since distance is equal to speed × time, then we have;
D = 8t1
t1 = D/8
During time t3, the speed was 4ft/sec. Thus; D = 4t3
t3 = D/4
Thus,since t1 + t3 = 1600
Then;
(D/8) + (D/4) = 1600
Multiply through by 8 to get;
D + 2D = 1600 × 8
3D = 12800
D = 12800/3
D = 4266.67 ft
9514 1404 393
Answer:
V = (2/3)(11)
Step-by-step explanation:
The given cylinder has a height of 2r, so its volume is ...
V = πr²(2r) = 2πr³
The volume of a sphere is given by ...
V = 4/3πr³
Then the ratio of the volume of the sphere to the volume of the cylinder is ...
(4/3πr³)/(2πr³) = (4/3)/2 = 2/3
So, the volume of the sphere is 2/3 times the volume of the cylinder:
V = (2/3)(11)
Answer:
c
Step-by-step explanation:
a. 3in, 4in, 5 in
5^2 ? 3^2 + 4^
25 ? 9 + 16
25 = 25
Because the two sides are equal, this is a right triangle.
b. 5in, 6in, 7in
7^2 ? 5^2 + 6^2
49 ? 25 + 36
49 < 61
Because 49 < 61, this is an acute triangle.
c. 8in, 9in, 12in
12^2 ? 8^2 + 9^2
144 ? 64 + 81
144 < 145
Because 144< 145, this is an acute triangle.
This should not be in the elementary school section I didn't even learn about this....
Think the 3 graph would be a function the graph the the arrow going straight up.
