Answer and Explanation:
The problem provides the following information:
Hypotenuse
=
h
y
p
=
5129
ft
Vertical drop
=
o
p
p
=
1275
ft
To find the angle of depression, the best trigonometric ratio to use is the sine ratio. After equating it with the ratio of the opposite side over the hypotenuse, get the inverse of the sine ratio as shown:
sin
θ
=
o
p
p
h
y
p
θ
=
sin
−
1
(
o
p
p
h
y
p
)
θ
=
sin
−
1
(
1275
ft
5129
ft
)
θ
=
sin
−
1
(
0.2485864691
)
θ
=
14.3938824691
≈
14.4
∘
The angle of depression is
14.4
Answer:
To get the Least Common Multiple (LCM) of 12 and 46 we need to factor each value first and then we choose all the factors which appear in any column and multiply them:
12:
2
2
3
46:
2
23
LCM:
2
2
3
23
The Least Common Multiple (LCM) is: 2 x 2 x 3 x 23 = 276
Step-by-step explanation:
Answer:
n^2 + 2n.
Step-by-step explanation:
n = 1 2 3 4 5
term t = 3 8 15 24 35
Diffs = 5 7 9 11
2 2 2 - so the nth term contains n^2.
n^2 = 1 4 9 16 25
t - n^2 = 2 4 6 8 10
This is an arithmetic sequence with nth term = 2 + (n-1)2 = 2n
So the nth term of the quadratic sequence = n^2 + 2n.
Y=money spent
X=games played
For the winter festival, it would be y=2x+20
For the fall festival, it would be y=5x+5
The greatest common factor of 12 and 6 is 6.
