Answer:
x=20
Step-by-step explanation:
Since this is a right triangle, we can use the Pythagorean theorem
a^2 + b^2 = c^2
21 ^2 + x^2 = 29^2
441+x^2 =841
Subtract 441 from each side
x^2 = 841-441
x^2 = 400
Take the square root of each side
sqrt(x^2) = sqrt(400)
x = 20
Answer:
Step-by-step explanation:
The genral form of a complex number in rectangular plane is expressed as z = x+iy
In polar coordinate, z =rcos ∅+irsin∅ where;
r is the modulus = √x²+y²
∅ is teh argument = arctan y/x
Given thr complex number z = 6+6√(3)i
r = √6²+(6√3)²
r = √36+108
r = √144
r = 12
∅ = arctan 6√3/6
∅ = arctan √3
∅ = 60°
In polar form, z = 12(cos60°+isin60°)
z = 12(cosπ/3+isinπ/3)
To get the fourth root of the equation, we will use the de moivres theorem; zⁿ = rⁿ(cosn∅+isinn∅)
z^1/4 = 12^1/4(cosπ/12+isinπ/12)
When n = 1;
z1 = 12^1/4(cosπ/3+isinn/3)
z1 = 12^1/4cis(π/3)
when n = 2;
z2 = 12^1/4(cos2π/3+isin2π/3)
z2 = 12^1/4cis(2π/3)
when n = 3;
z2 = 12^1/4(cosπ+isinπ)
z2 = 12^1/4cis(π)
when n = 4;
z2 = 12^1/4(cos4π/3+isin4π/3)
z2 = 12^1/4cis(4π/3)
Answer:
4
Step-by-step explanation:
- represent the number he thought of with x
- multiply through with the LCM which is 2
Answer:
8 bags at the orchard
Step-by-step explanation:
6/25 = .24
8/35 = .22
Answer:
(-4, -1)
Step-by-step explanation:
-3x - 8y = 20; y = 5x + 19
y = 5x + 19; -3x - 8y = 20
y = 5x + 19
-3x - 8y = 20
-3x - 8(5x + 19) = 20
-43x - 152 = 20
-43x - 152 + 152 = 20 + 152
-43x = 172
-43x / -43 = 172 / -43
x = -4
y = 5x + 19
y = (5)(-4) + 19
y = -1
