Answer: El lado mayor del rectángulo mide 10cm
Step-by-step explanation:
El perímetro de un rectángulo está dado por:
P = 2*L + 2*A
Donde L es la longitud y A es el ancho.
Como sabemos que un lado es 6cm más largo que el otro, podemos expresar esto como:
L = A + 6cm.
Por lo tanto, P = 28cm = 2*L + 2*A
Sustituyendo la primera ecuación en la segunda tenemos:
28cm = 2*(A + 6cm) + 2*A
28cm = 12cm + 4*A
28cm - 12cm = 4*A
16cm/4 = A
4cm = A.
Así que el ancho es 4 cm y la longitud se calcula como L = 4cm + 6cm = 10cm
The general equation for exponential decay characterized by a half-life (T) is expressed as N(t) = N_0(1/2)^(t/T), where N(t) signifies the amount remaining at time t, N_0 stands for the initial amount (at t=0), and T denotes the half-life of the substance. The half-life of carbon-14 is about 5,730 years. When starting with 6 mg of carbon-14, the equation for the remaining amount after t years would be established.
The weight of an orangutan is 64.5 kilograms
Solution:
It is stated that the orangutan's weight is 142 pounds
Additionally,
1 kilogram is approximately 2.2 pounds
We will now convert 142 pounds into kilograms
1 kilogram = 2.2 pounds

As a result, 142 pounds translates to


When rounding to the nearest tenth, we obtain 64.5 kilograms
Therefore the mass of the orangutan is 64.5 kilograms
Response:
= 270 ⇒ Previous solution
Detailed breakdown:
* Given f(x) = 7 + 4x
* Given g(x) = 
* We aim to determine 
- Initially, let’s calculate 
∵ f(x) = 7 + 4x
∵ g(x) = 
∴ 
- Let’s perform division of the numerator by the denominator
∵ The numerator is 7 + 4x
∵ The denominator is 
∴ (7 + 4x) ÷ 
- Now we will change the division sign to a multiplication sign and take the reciprocal of
the fraction following the division sign
∴ (7 + 4x) × 
∴
= 2x(7 + 4x)
∴
= 14x + 8x²
- Next, substitute x with 5
∴
= 14(5) + 8(5)² = 70 + 200 = 270
∴
= 270