Answer:
a(100) = 298 squares
Step-by-step explanation:
It seems to be an arithmetic sequence problem but I'm not quite sure. Here's how I would have solved it:
The general term for an arithmetic sequence is an = a1 + (n - 1) d
the common difference would be case 2 squares - case 1 squares, or 4 - 1 =3
a1 represents the 1st term, which is case 1 or one square.
Now we can just substitute for variable and place in a value for n:
an = 1 + (n - 1)(3)
an = 1 + 3n -3
an = 3n -2
Now, we just set n = 100, so
a(100) = 3 (100) -2
a(100) = 298 squares
I think this one is the answer
That number is 98. Your Welcome
Answer:
El ángulo formado entre las dos direcciones es aproximadamente 115º.
Step-by-step explanation:
Las direcciones dadas en el enunciado significan lo siguiente:
S32ºE - <em>32º al este del sur.</em>
E57ºN - <em>57º al norte del este.</em>
Vectorialmente hablando, cada dirección es la siguiente:
S32ºE


E57ºN


El ángulo formado entre los dos vectores unitarios (
), medido en grado sexagesimales, puede determinarse mediante la siguiente ecuación vectorial:

Donde:
- Norma de
.
- Norma de
.
Si sabemos que
,
,
y
, entonces el ángulo formado entre los dos vectores es:


El ángulo formado entre las dos direcciones es aproximadamente 115º.
Answer:
Let 7x be the rent paid for backhoe for seven hours.
Step-by-step explanation:
Keyword: maximum amount, the most
Inequality symbol: ≤
(800 × 5) + 7x ≤ 9,000
4,000 + 7x ≤ 9,000
7x ≤ 9,000 - 4,000
7x ≤ 5,000
7x ÷ 7 ≤ 5,000 ÷ 7
x ≤ 714.29
To the nearest hundreds:
x ≤ 700
ANSWER: The maximum rental fee per hour of backhoe is Php 700.00 (rounded off to the nearest hundreds).
To check if he paid less than 9,000 for the total rent:
(800 × 5) + (700 × 7) < 9,000
4,000 + 4,900 < 9,000
8,900 < 9,000 (True)