Option A: The vessel has sailed 34 miles South
Explanation:
Given that the vessel sails 41 miles S 35° E.
We need to determine the how far south the vessel has sailed.
Let us use the Pythagorean theorem to find the distance of the vessel has sailed.
Thus, we have,
Substituting 
, 
and 
Hence, we get,
Simplifying, we have,
Multiplying both sides by 41, we have,
Rounding off to the nearest integer, we have,
Thus, the vessel has sailed 34 miles South.
Therefore, Option B is the correct answer.
Answer:
60 seconds
Step-by-step explanation:
Step-by-step explanation:
a. (3 - 2/3) ÷ (4/3 x 7)
= [(3 x 3) / (1 x 3) - 2/3] ÷ 28/3
= (9/3 - 2/3) ÷ 28/3
= 7/3 x 3/28
= 21/84
= (21 x 1) / (21 x 4)
= 1/4
b. 2/3 ÷ 5/6 - 2/5
= 2/3 x 6/5 - 2/5
= 12/15 - 2/5
= (3 x 4) / (3 x 5) - 2/5
= 4/5 - 2/5
= 2/5
c. (- 3/4 + 1/2) ÷ (2/5 - 5/2)
= [- 3/4 + (1 x 12) / (2 x 2)] ÷ [(2 x 2) / (5 x 2) - (5 x 5) / (2 x 5)]
= (- 3/4 + 12/4) ÷ (4/10 - 25/10)
= 9/4 ÷ (- 21/10)
= 9/4 x - 10/21
= - 90/84
= (6 x - 15) / (6 x 14)
= - 15/14.
If you have any doubt, then you can ask me in the comments.
Answer:
15
Step-by-step explanation:
Calculation for What is a reasonable estimate of the number of gallons of gas Karl used
Estimated number of gallons used=619.5 miles/41 miles
Estimated number of gallons used=15
Therefore the reasonable estimate of the number of gallons of gas Karl used is 15
Given that the sample size is 12, thus the degree of freedom = 12 - 1 = 11.
Using technology, the p value of the t statistic, t = 2.028 is 0.9663.
