Answer:
Distance= 6.6 miles
Bearing= N 62.854°W
Step-by-step explanation:
Let's determine angle b first
Angle b=20° (alternate angles)
Using cosine rule
Let the distance between the liner and the port be x
X² =8.8²+2.4²-2(8.8)(2.4)cos20
X²= 77.44 + 5.76-(39.69)
X²= 43.51
X= √43.51
X= 6.596
X= 6.6 miles
Let's determine the angles within the triangle using sine rule
2.4/sin b = 6.6/sin20
(2.4*sin20)/6.6= sin b
0.1244 = sin b
7.146= b°
Angle c= 180-20-7.146
Angle c= 152.854°
For the bearing
110+7.146= 117.146
180-117.146= 62.854°
Bearing= N 62.854°W
Answer:
7/8
Step-by-step explanation:
because 1 - ⅛ = 7/8. which would mean the answer is 7/8
Answer:
The sum of the arithmetic sequence is
.
Step-by-step explanation:
A sequence is a set of numbers that are in order.
In an arithmetic sequence the difference between one term and the next is a constant. In other words, we just add the same value each time infinitely.
If the first term of an arithmetic sequence is
and the common difference is d, then the nth term of the sequence is given by:

For the sequence

The pattern is continued by adding -11 to the last number each time.
An arithmetic series is the sum of an arithmetic sequence. We find the sum by adding the first,
and last term,
, divide by 2 in order to get the mean of the two values and then multiply by the number of values, <em>n</em>
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The sum of the arithmetic sequence is


Answer:
20
Step-by-step explanation:
if you divide 50 from 2.5 you get 20
then take 20x2.5 and you get 50.
Answer:
2.5 hours
Step-by-step explanation:
Find unit rate so 1 page per 30 mins. 30 x 5 = 150 minutes. Since it asks for hours, 150/60= 2 hours and 30 minutes or 2.5 hours