Answer:
Step-by-step explanation:
Solving an inequality is similar to solving an equation. To solve for r, isolate it. Whatever you do to one side, do to the other. Remember that a negative and a negative equal a positive, thus one side of the inequality becomes r + 5. Then, subtract both sides by -5 to find the answer.
Answer:
amplitude = 4
Step-by-step explanation:
the amplitude is the maximum subtract the minimum divided by 2
maximum = 1 and minimum = - 7
amplitude = 
= 
= 4
Answer:
x = 12
Step-by-step explanation:
In similarity triangles angles are congruent.
∠D = ∠A
x² - 8x = 48
x² - 8x - 48 = 0
x² + 4x - 12x - 48 = 0
x(x + 4) - 12(x + 4) = 0
(x +4)(x - 12) = 0
x - 12 = 0 {Ignore x + 4 = 0, as measurements won't have negative values}
x = 12
We need to use Law of sine.
sin A/a = sin C/c
sin A/|CB| = sin C/|AB|
sin A/14 = sin(118⁰)/ 20
sin A = (14*sin(118⁰))/ 20
A=arcsin((14*sin(118⁰))/ 20) ≈ 38⁰
