Answer:
x = 180
Step-by-step explanation:
First, you need to know
1. Double-angle formula:
cos(2x) = 
2. Pythagorean identity:
Back to your problem, replacing the variable by the above:
By Double-angle formula
By Pythagorean identity
Given 
, we know -1 < sinx < 1, for every x ∈ R
Answer:
73.12 cm
Step-by-step explanation:
The perimeter of the square is 3 sides of the square (the 4th side is not included because of the semicircle)
P square = 3 s
=3 (16)
=48 cm
The perimeter of the semicircle is 1/2 of the circumference of a circle
P semicircle = 1/2 (pi *d)
=1/2 (pi* 16)
= 8 pi
= 8 (3.14)
=25.12 cm
The total perimeter is the sum of the square and the circle
P total = P square + P semicircle
=48+25.12
=73.12 cm
Answer:
a = x and b = 4
Step-by-step explanation:
x^3 - 64 = (x - 4)(x^2 + 4x + 16)
so
a = x and b = 4
Answer:
n = 3
Step-by-step explanation:
-6n - 20 = -2n + 4 (1-3n)
First distribute the 4 (1-3n)
-6n - 20 = -2n + 4 - 12n
Combine like terms on the right side
-6n - 20 = -14n + 4
Get 'n' on one side by adding -6n to both sides
-20 = -8n + 4
Subtract 4 to both sides
-24 = -8n
Divide -8 to both sides
3 = n
