Answer:
The volume of the cone is 508.94
Answer:
3.9 mi/h
Step-by-step explanation:
We assume that the given speeds are the speeds of the boats relative to the water. If c is the speed of the current, we have ...
time = distance/speed
47/(15 +c) = 40/(20 -c)
47(20 -c) = 40(15 +c) . . . . . . multiply by (20-c)(15+c)
940 -600 = 40c +47c . . . . . add 47c-600
340 = 87c . . . . . . . . . . . . . . . simplify; next divide by 87
c = 340/87 ≈ 3.9080 . . . . mi/h
The speed of the current is about 3.9 mi/h.
Answer:
B: g=5
C: g=6
Step-by-step explanation:
Given

Required
All possible values of g
We have:

Collect like terms


Divide both sides by -1 [The inequality changes because of negative division]

Swap both terms

This implies that g is greater than of equal to 5
i.e.

Hence:
(b) and (c) are correct
Answer:
2.75 miles jogged on the fourth day
Step-by-step explanation:
Justin jogged 2 miles on the first day.
On the second day he jogged 75% of 2 miles. To find 75% of 2 miles we need to divide by 100 and multiply by 75.
2 / 100 = 0.02 x 75 = 1.5 miles jogged on the second day. (3.5 miles jogged in total so far)
On the third day he jogged 1.5 miles more than the last day:
1.5 + 1.5 = 3 (6.5 miles jogged so far)
9.25 total miles were jogged, meaning that we will need to subtract 6.5 from 9.25 to get the answer:
9.25 - 6.5 = 2.75 miles jogged on the fourth day
Answer:
24.2
Step-by-step explanation:
The perimeter is the sum of the sides:
10.5 + 7.4 + 6.3 = 24.2