The distance the ships traveled are like the legs of a triangle and the question wants to know the hypotenuse. To find the hypotenuse, use the pythagorean theorem. this is a^2 + b^2 = c^2, with a and b being the legs and c being the <span>hypotenuse.
</span>Plug in known values:
84^2 + 62^2 = c^2
Solve:
84^2 = 7056
62^2 = 3844
7056 + 3844 = c^2
7056 + 3844 = 10900
10900 = c^2
Now you just need to isolate c by finding the square root of both sides.
√10900 = 104.403
√c^2 = c
So c = 104.403, or just 104.40 when rounded to the nearest tenth.
And if c is 104.40, then that means the hypotenuse is 104.40.
And all of that basically means that the distance between the ships is 104.40 miles.
Answer:
x = 59
Step-by-step explanation:
So first lets distribute;
29 + x - 24 = 64
Collect like terms;
5 + x = 64
Subtract 5 from both sides;
x = 59
W=kxp
where
k is the constant of proportionality given by:
k=w/xp
<span> If w=78 when x=2 and p=10 then
</span>k=78/(2*10)
k=3.9
thus the formula is:
w=3.9xp
b] <span>find x when w=858 and p=5.5
plugging the values in the formula we get:
858=3.9</span>×5.5×x
hence
x=858/(3.9×5.5)
x=358/21.45
x=16.69
