Answer:
A) x = 11 tan 49°
B) 12.7 inches
C) 14.7 inches
Step-by-step explanation:
(refer to attached for reference)
Let the length of the vertical side of the triangular sail be x
recall that for right angle triangle, the following trigonometric relation applies:
tan θ = length of opposite side / length of adjacent side
in our case,
θ = 49°
length of adjacent side = 11 inches
length of opposite side = length of vertical edge of sail = x (which we defined above)
hence we can assemble our formula
tan 49° = x / 11 (rearranging)
x = 11 tan 49° (Answer for A)
Using a calculator to solve this gives
x = 12.65 inches
x = 12.7 inches (to nearest tenth) (Answer for B)
The height of the mast is merely the height of the sail plus the 2" length of mast extending below the sail.
Mast height = 12.7" + 2" = 14.7" (Answer for C)
For the first digit, you have two possible choices: 1 or 2. For *each* of those choices, you can choose 1 or 2 for the second digit in the number, and for each of *those*, you can choose 1 or 2 for the third digit of the number.
That’s 2 * 2 * 2 or 8 possible 3-digit numbers you can make with the digits 1 and 2.
Answer:
15th term =29/3
16th term = 31/3
Step-by-step explanation:
Given an arithmetic sequence with the first term a1 and the common difference d , the nth (or general) term is given by an=a1+(n−1)d .
First we find the 15th term
n=15
a1=1/3
d=1 - 1/3 = 2/3
Solution
1/3+(15-1)2/3
1/3+28/3
(1+28)/3
29/3
Lets find the 16th term
1/3+(16-1)2/3
1/3+30/3
(1+30)/3
31/3
Answer:
you need to divide the numbers that you get untell you find your answer
Step-by-step explanation: