A linear inequality to represent the algebraic expression is given as 492.46 - x ≥ 500
<h3>Linear Inequality</h3>
Linear inequalities are inequalities that involve at least one linear algebraic expression, that is, a polynomial of degree 1 is compared with another algebraic expression of degree less than or equal to 1.
In this problem, her minimum balance must not decrease beyond $500 or she will pay a fee.
where
The inequality to represent this can be written as
524.96 - 32.50 - x ≥ 500
Simplifying this;
492.46 - x ≥ 500
The linear inequality is 492.46 - x ≥ 500
Learn more on linear inequality here;
brainly.com/question/23093488
#SPJ1
Answer:
Step-by-step explanation:
3x + 3
6 + 2x
3x + 2x = 5x
3 + 6 = 9
5x + 9
Answer:
The answer to your question is 14° and 76°
Step-by-step explanation:
Data
leg 1 = x
leg 2 = x/4
angle 1 = ?
angle 2 = ?
Process
To solve problem use trigonometric functions. We must use the trigonometric function that relates both legs (tangent).
tangent Ф = Opposite side / Adjacent side
-Substitution
tan Ф = (x/4) / x
-Simplification
tan Ф = x / 4x
tan Ф = 1/4
- Find Ф
Ф = tan⁻¹(1/4) = 14°
- Find the other acute angle
The sum of the internal angles in a triangles equals 180°
Ф + Ф₁ + 90° = 180
-Solve for Ф₁
Ф₁ = 180 - 90 - 14
-Result
Ф₁ = 76°
24 = x% * 32
24= x/100 * 32
Multiply 100 on both sides.
2400 = x * 32
32x = 2400
Divide 32 on both sides.
x = 2400/32
x = 75
75 percent<span> of 32 is 24</span>
Answer: Perimeter = 6π ≈ 18.84
Area = 15π ≈ 47.10
<u>Step-by-step explanation:</u>
This is a composite of a big semicircle with diameter of 10 --> radius (r) = 5
plus a medium semicircle with diameter of 6 --> r = 3
minus a small semicircle with diameter of 4 --> r = 2
Perimeter of a semicircle =
Area of a semicircle =