Let X = be the amount the amount that new customer will have to pay
X = 0.8P + 100
Given that the television is $1500, the discounted price is $1200. But the customer will have to pay the membership of $100.
Therefore the total amount is $1300.
Answer:
A. Given
B.Measure of ABC=90
C.Angle addition Prostulate
D.2 times the measure of angle CBD=90
Step-by-step explanation:
Answer:
3S - F
Step-by-step explanation:
Let Flour be represented with F
Sugar be represented with S
3S = F
3S - F = 0
Answer:
x = 15°
Step-by-step explanation:
<u>We are given;</u>
sin(2x + 7) = cos(4x - 7)
We are required to solve for the value of x
- We need to know that for complementary angles;
Sin θ = Cos (90-θ) where, θ and 90-θ are complementary angles.
- Complementary angles are angles that add to 90°
- Therefore;
(2x +7) + (4x - 7) = 90
6x = 90
x = 15°
Therefore, the value of x is 15°
The given complex number is
z = 1 + cos(2θ) + i sin(2θ), for -1/2π < θ < 1/2π
Part (i)
Let V = the modulus of z.
Then
V² = [1 + cos(2θ)]² + sin²(2θ)
= 1 + 2 cos(2θ) + cos²2θ + sin²2θ
Because sin²x + cos²x = 1, therefore
V² = 2(1 + cos2θ)
Because cos(2x) = 2 cos²x - 1, therefore
V² = 2(1 + 2cos²θ - 1) = 4 cos²θ
Because -1/2π < θ < 1/2π,
V = 2 cosθ PROVEN
Part ii.
1/z = 1/[1 + cos2θ + i sin 2θ]

The denominator is

Therefore

The real part of 1/ = 1/ (constant).