Answer:
<em>The angle between their paths when they started is 93°.</em>
Step-by-step explanation:
<u>The Law of Cosines</u>
It relates the length of the sides of a triangle with one of its internal angles.
Let a,b, and c be the length of the sides of a given triangle, and x the included angle between sides a and b, then the following relation applies:

When the two ships travel in different directions from the same point in the plane, they form an angle we called x in the image below.
Tyler's ship sails a=35 miles and Noah's ship sails for b=42 miles. At some time they are c=56 miles apart.
Since we know the values of all three side lengths, we solve the equation for x:

Substituting values:

Calculating:

Computing the inverse cosine:


The angle between their paths when they started is 93°.
Answer:1 dollar each
Step-by-step explanation:
Answer:
bx=-3
Step-by-step explanation:
-2(bx-5)=16
Use distributive property.
-2bx+10=16
Now, subtract 10 from both sides.
-2bx=6
Divide -2 from both sides.
bx=-3
Hope this helps!
If not, I am sorry.
The <span>height of the tower. is 27 m
Now, we write h/x = tan 45
i.e h/x = 1
i.e h = x ...........................1.
Now, h/(x+20) = tan 30
i.e </span> (x+20)/h = 1/tan 30
or (x+20) = 1.73h
or from equation 1 ,
h+ 20 = 1.73 h
20 = 1.73h - h
h = 20/0.73
or h = 27.39 = 27 m
Answer:
4/3
d/c
Step-by-step explanation:
You divide 16 by 4 and you get 4, so 4 dogs.
Then you divide 12 by 4 and you get 3, so 3 cats.
Lastly you were comparing dogs to cats so you have to put the about of days first then the amount of cats last.
The final answer is 4/3.