Answer:

Step-by-step explanation:
The given pair of angles lie on a line, hence they are classified as linear angles. They possess the property by which their sum is equal to 180°.





39.99+.10t=19.99+.20t
Now -19.99 from both sides to get 19.00+.10=.20t
Now simplify 19+.10 to 19.10=.20t
Lastly divide both sides by .20 to get t=95.5 :)
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:
<u>Options A , B and D</u>
Step-by-step explanation:
Tomas needs exactly 6 potatoes to make 12 pancakes
So, the rate will be 12/6 = 2
<u>We will check the options:</u>
A) Tomas needs exactly 12 potatoes to make 24 potato pancakes.
Rate = 24/12 = 2
B) Tomas needs exactly 18 potatoes to make 36 potato pancakes.
Rate = 36/18 = 2
C) Tomas needs exactly 24 potatoes to make 44 potato pancakes.
Rate = 44/24 = 1.833
D) Tomas needs exactly 30 potatoes to make 60 potato pancakes.
Rate = 60/30 = 2
E) Tomas needs exactly 36 potatoes to make 78 potato pancakes.
Rate = 78/36 = 2.1667
So, the answers are:
<u>Options A , B and D</u>