Let Amaro has x number of cards,
Mateo = 1/2x
Augustin = 1/4 x 1/2x = 1/8x
Answer: Amaro has the most cards.
Answer:

General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
Coordinate Planes
<u>Pre-Calculus</u>
Vectors
- Component Form:

Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify.</em>
Point Y(-9, 2)
Point Z(3, -4)
<u>Step 2: Find</u>
- Substitute in points [Vector Component Form]:

- [Order of Operations] Evaluate:

Answer:
4,560,000 is your answer.
~Sophia
Draw a diagram to illustrate the problem as shown in the figure below.
Let h the height of the hill. =
At position A, the angle of elevation is 40°, and the horizontal distance to the foot of the hill is x.
By definition,
tan(40°) = h/x h = x tan40 = 0.8391x
(1)
At position B, Joe is (x - 450) ft from the foot of the hill. His angle of elevation is
40 + 18 = 58°.
By definition, tan(58°) = h/(x - 450)
h = (x - 450) tan(58°) = 1.6003(x-450)
h = 1.6003x - 720.135 (2)
Equate (1) and (2).
1.6003x - 720.135 = 0.8391x 0.7612x = 720.135
x = 946.0523
From (1), obtain
h = 0.8391*946.0523 = 793.8 ft
Answer: The height of the hill is approximately 794 ft (nearest integer)