Answer:
<h3><u>Required Answer</u><u>:</u><u>-</u></h3>







The correct option is: Option (B)

Explanation:
First thing is that the difference between each number in the series with the next number is 5. It means it must be the multiple of 5. There are two options that contain multiples of 5: Option B and Option D. Now in the option D, the upper limit is 6. If we put 6 in the expression: 5(6)-2, the last term would be 28. However in the series given in the question, the last term is 33. Hence 5(7) - 2 = 35 - 2 = 33 which is Option B.
When i=1: 5(1)-2 = 3
When i=2: 5(2)-2 = 8
When i=3: 5(3)-2 = 13
.
.
When i=7: 5(7)-2 = 35-2 = 33
Hence the correct option is (B).
Answer:
1 mile/hr
Step-by-step explanation:
Let the Speed of the boat still in water = a
Speed of the current = b
We know from this formula that speed = distance/time
Hence,
A canoe traveled Downstream with the current and went a distance of 15 miles in three hours.
Downstream = a + b = 15/3
a + b = 5 .........Equation 1
On the return trip, the canoe traveled Upstream against the current. It took 5 hours to make the return trip.
Upstream = a - b = 15/5
a - b = 3 ..............Equation 2
Combining both Equation together
a + b = 5 .........Equation 1
a - b = 3 ..............Equation 2
Subtracting Equation 2 from Equation 1
2b = 2
b = 2/2
b = 1miles/hr
Since b = speed of the current which can also be called rate of the current, the rate of the current = 1 miles/hr
Answer:
x = (√21)/2
Step-by-step explanation:
The sides of a 30°-60°-90° triangle have the ratios 1 : √3 : 2. That means the middle-length side is (√3)/2 times the length of the longest side.
x = (√3)/2·√7

X > 5
x = 5 is not a solution because x is always greater than 5.