I organized an ocean clean up and we collected a total of 25 pounds of garbage. 16 pounds of the garbage consisted of plastic. What percent of garbage was plastic? choose an answer A.54% B.80% C.64

Answer:

D

Step-by-step explanation:

We need the formula for arc length (in radians) to solve this problem. The formula is:

Where

s is the arc length

r is the radius of the circle

is the intercepted angle

In this diagram, we can see that    is beign intercepted by the big arc with measure 20 cm. So arc length, s, is 20

Also, if we look, we see that the radius is 5 cm, so r = 5

Now, we substitute into formula and find :

This is given in radians, so is 4 radians

D is the correct answer choice.

Answer: e) 2(n+1)

Step-by-step explanation:

De las opcionas dadas, e) 2(n+1) es la correcta.

Empecemos por explicar la siguiente regla:

(número par)(número par)=número par

(número par)(número impar)=número par

(número impar)(número impar)=número impar

Ahora bien, en la expresión  2(n+1) el resultado de lo que se encuentra dentro del paréntesis va a ser multiplicado por 2, el cual es un número par, por lo tanto el resultado final va a ser un número par independientemente de si lo que está en el paréntesis es par o impar.

Por ejemplo, si elegimos 1 que es impar:

2(1+1)=2(2)=4

El resultado es par.

Si probamos con las otras opciones, los resultados serán impares:

a) 2n +1

2(1)+1=2+1=3 impar

b) n(n+2)

1(1+2)=1(3)=3 impar

c) n+(n-1)

1+(1-1)=1+0=1 impar

ANSWER: C.  alternate exterior

EXPLANATION: Alternate Exterior Angles are two angles that are on the exterior of and , but on opposite sides of the transversal. They are located outside the two parallel lines but on opposite sides of the transversal, creating two pairs of alternate exterior angles. Alternate exterior angles are congruent, meaning they have same measures. Here is an image to understand it better.

Answer:

you are correct sir

Step-by-step explanation: