Answer:
Step-by-step explanation:
In Raphael's example, the robot moves in a perfect triangle. A perfect triangle is known to have three equal sides and three equal angles of 60° each. Raphael's example mentions the length of two sides of the triangle as 3m and 4m and it also mentions the angle the robot turns 120°
Therefore the angle created is 180°-120°= 60° which is an angle of a perfect triangle.
The distance that the robot has to calculate would be equal to the length of the third side of the triangle
lets assume the length of the third side of the triangle to be 
and the two remaining angles to be a and b.
To get the distance , let's list out what we know about this triangle.
side a = 3m
side b = 4m
side c =<em> β</em>
Angle 1 = Angle made between side 2 and 3 = A
Angle 2 = Angle made between side 1 and 3 = B
Angle β = Angle made between side 1 and 2 = 60°
The law of cosines states that
= 
+ 
- 2ab(cosβ)
= 
+ 
- 2×3×4(cos 60)
= 9 + 16 - 24(0.5)
= 9 + 16 - 12
= 13
<em>β</em> = 
<em>β</em> = 3.6055512755 m
The distance the robot will compute is 3.61 meter to the nearest hundredth.
Answer:
Se necesita depositar un capital inicial de $ 5096.83 pesos para lograr $ 500000 pesos a un interés compuesto de 14 % anual luego de 35 años.
Step-by-step explanation:
La cantidad ahorrada bajo interés compuesto está definida por la siguiente fórmula:
(1)
Donde:
- Capital inicial, medido en pesos.
- Capital actual, medido en pesos.
- Tasa de interés, sin unidad.
- Anualidad, medida en años.
Asumiendo que la tasa de interés compuesto es anual y si 
, 
y 
, entonces el capital inicial es:
Se necesita depositar un capital inicial de $ 5096.83 pesos para lograr $ 500000 pesos a un interés compuesto de 14 % anual luego de 35 años.
So what you do is go 5(3y+5)-4y=14 which equals 15y+25-4y=14 which turns into 11y+25=14 than you move the 25 over which equals 11y=-11 so y=-1 then you enter -1 in for y which looks like 5x-4(-1)=14 than you solve that which is 5x+4=14 than you move the 4 over and you get 5x=10 than x=2
x=2
y=-1
The answer is c = .6x + 5
In order to find the equation, note that the price per pound is contingent upon the weight in x. Therefore, we can multiply the two together.
We also need to add the constant, which is 5.
Answer:
<h3>p(+)q=SQR(p^2+q^2)</h3>
8(+)6=SQR(8^2+6^2)
SQR(64+36)
SQR(100)
=10
Step-by-step explanation:
p + Q is equal to square root of p square + Q Square
sqr means square root
