Answer:
2 1/4
Step-by-step explanation:
1/3 divided by 1/6 is 2
3/4 plus 2 is 2 3/4
2 3/4 minus 6/12 is simplified to 2 9/12 minus 6/12, which is 2 3/12
2 3/12 is simplified to 2 1/4
Answer:
(0, 6)
explanation:
- original coordinates of C: (5, -6)
if reflected over x-axis, then use the formula: (x,y) → (x, -y)
then if translated -5 horizontally, there will be change in x axis
- new coordinates: (5-5, 6) → (0, 6)
If we let
x as the distance traveled by the boat
y as the distance between the boat and the lighthouse.
Then, we have:
tan 18°33' = 200 / (x + y)
and
tan 51°33' = 200 / y
Solving for y in the second equation:
y = 200 / tan 51°33'
Rearranging the first equation and substituting y
x = 200 / tan 18°33' - 200 / tan 55°33'
x = 458.81 ft
Therefore, the boat traveled 458.81 ft before it stopped.
Answer:
cos ∅ = 80/89
Step-by-step explanation:
As required from the question the picture below represent a triangle UVW . The angle W = 90°. The sides WV = 39 , VU = 89 and UW = 80. The triangle forms a right angle triangle .
Such triangle one can establish trigonometric relationship using the SOHCAHTOA principle.
The question requested us to find the ratio that represent the cosine of ∠U.
The ∠U is represented as ∅ .
Therefore,
cos ∅ = adjacent/hypotenuse
adjacent = 80. The adjacent side is the non hypotenuse side that is next to the given angle.
hypotenuse = 89 . Hypotenuse is the longest side of a right angle triangle and it opposite the right angle.
cos ∅ = adjacent/hypotenuse
cos ∅ = 80/89
Answer: Anna could buy 5 sweatshirts for $75.
Step-by-step explanation:
lets figure out the price of one sweatshirt.
45/3 = 15
one sweatshirt is $15
5*15=75
so 5 sweatshirts cost $75
