Answer:
0 < x < 12
Step-by-step explanation:
According to the triangle inequality theorem, the sum of the two sides must be greater than the length of the third side. 6+6 = 12
0 < x < 12
1. Find angle Y. Since the interior angles of a triangle must add up to 180 deg., we have 180 - (98+24) = 58 deg.
Apply the Law of Sines to determine the lengths of sides r and t:
r 7.9 t
--------- = --------- = ---------
sin 98 sin 58 sin 24
Then r = (7.9 sin 98)/ (sin 58) = 9.22. This matches r in the 2nd choice. Determine t using the same method: t = 7.9sin 24 / sin 58.
Does your t value match that in the 2nd possible answer?
Let 32% of x = 56
32%*x = 56
32/100 *x = 56
x = 56*100/32
x = 5600/32 = 175
hence, 32% of 175 is 56.
Answer:
<h2>
aₙ = -3n + 8</h2>
Step-by-step explanation:
The nth term of an arithmetic sequence: aₙ = a₁ + d(n - 1)
{d = common difference}
a₁ = 5
a₄ = 5 + d(4 - 1)
-4 = 5 + 3d
-4 - 5 = 3d
3d = -9
d = -3
Therefore;
aₙ = 5 + (-3)(n - 1)
aₙ = -3n + 8
Check: a₁₀ = 5 + (-3)(10 - 1) = 5 - 27 = - 22
