Answer:
Step-by-step explanation:
From the question we are told that:
Length of each side 
Let the triangle be divide by two form a right angle triangle with base angles as 
(angle of perpendicularity) and 
(angle on each vertices of an equilateral triangle)
Generally the equation for the Altitude X is mathematically given by
Trigonometric Rule
Answer: a. 720
Step-by-step explanation:
You have 6 different sticks to choose from for the first stick. Then there are 5 for the second (6 - 1 = 5), then 4 for the third (5 - 1 = 4), etc all the way to the last stick.
Mathematically, this can be shown with 6!. In other words, 6 factorial.
6 * 5 * 4 * 3 * 2 * 1 = 720
The answer to our question is:
a. 720
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
Using the law of sins:
side a / sin (angle A) = side b / sin(Angle B)
Side a is opposite angle A, so from the picture we know side a = 50, angle A is 58 degrees and angle B is 48 degrees.
replace those values in the formula we get:
50 / sin(58) = b/ sin(48)
so now we can cross multiply the 2 fractions to get:
50 * sin(48) = b*sin(58)
to get b by itself, divide both sides by sin(58) to get:
b = (50*sin(48)) / sin(58)
b = 43.82
You may need to round the answer as needed.
