Consider using the Law of Cosines, because the lengths of three sides are given and the largest angle is the one to be approximated. This angle will be opposite the longest side, that is, opposite the 420-foot side.
420^2 = 250^2 + 300^2 - 2(250)(300)cos A.
Then: 176400 = 62500 + 810000 - 150000cos A.
Solving for cos A, we get:
150000cos A = 176400-62500-810000, or -696100
Then:
-696100
cos A = ------------------- = - 4.64. This is not possible, as the range of the cosine
150000 function is [-1,1].
X=17
Distribute 2(x-5)
You are left with 2x-10=24
You then want to get 2x by itself so add 10 on both sides so that you get 2x=34
Isolate x completely by dividing by 2 on both sides which then leaves you with x=17
Let the ∠C be : θ
From the figure, We can see that the Side which is opposite to angle θ is measuring 7 units
Also, We can notice that Hypotenuse is 11 units
As we are dealing with opposite and hypotenuse, we can clearly use Sinθ to find out the angle θ
We know that :




<u>Answer</u> : The measure of ∠C to the nearest degree is 38°
Answer:
-1.2
Step-by-step explanation:
3n + 5 = 1/2(11n + 16)
3n + 5 = 5.5n + 8
5 = 2.5n + 8
-3 = 2.5n
-3/2.5 = n
-1.2 = n
Hope this helps!
12 ÷ 5 = 2.4. So there will be 0.4 string left.