Answer:
79.4° to the nearest tenth of a degree
Step-by-step explanation:
You are trying to find the angle opposite the side of length 27.
Let the length of that side be c and a and b be the lengths of the other two sides and let C be the measure of the angle you are looking for
Using the law of cosines



729 = 361 + 529 - 874cosC
729 = 890 - 874cosC
-161 = -874cosC
-161/-874 = cosC
.1842105.... = cosC
C = arccos .1842105.... = 79.4° to the nearest tenth of a degree
Answer:
x=12
Step-by-step explanation:
32/2x = x/9; because the triangles are similar
32 = 2x^2/9
288 = 2x^2
144 = x^2
x = 12 or x = -12, but the latter is nonsensical.
Answer:
I hope this helps!!
Step-by-step explanation:
We have given that : numbers - 9 over 7, 5 over 3, 3 over 2, 6 over 4
To find : which are terminating decimal
Terminating decimals are those whose figures to the right of some place are zero or have an end.
Solution : we check one by one,
1) 9 over 7 = 9/7 = 1.285714285714285714.... -Non terminating
2) 5 over 3 = 5/3 = 1.666666666666666...... -Non terminating
3) 3 over 2 = 3/2 = 1.5 - Terminating
4) 6 over 4 = 6/4= 3/2 = 1.5 - Terminating
I'm sorry if this is wrong :(
Answer:
n - 24 = 46
Step-by-step explanation:
Sum of interior angles = (n-2) × 180<span> = (5-2) x 180 = 3 x 180 = 540
so
x + 90 + 107 + 144 + 138 = 540
x + 479 = 540
x = 540 - 479
x = 61</span>