To go from the original to number I you need to do a reflection across the y-axis. To go from I to II you need to do a 90 degree clockwise rotation about the origin.
Answer:
x=−
1.6875
:)))))))))))))))))))))))))
Question:
The quantities x and y are proportional.
x 15 25
y 5 8⅓
Find the constant of proportionality.
Answer:
r = ⅓
Step-by-step explanation:
To find the constant of proportionality, we make use of the following formula
y = rx
Where y is the given data in the y row
r is the constant of proportionality
x is the given data in the x row.
Using the first values of x and y.
When x = 15, y = 5.
So,
y = rx becomes
5 = r * 15
5 = 15r
Divide through by 15
5/15 = 15r/15
⅓ = r
r = ⅓
Taking the second values of x and y
when x = 25, y = 8⅓
So,
y = rx becomes
8⅓ = r * 25
8⅓ = 25r
Convert mixed fraction to improper fraction
25/3 = 25r
Divide through by 25
25/3 ÷ 25 = 25r/25
25/3 * 1/25 = r
25/75 = r
⅓ = r
r = ⅓
Notice that r = ⅓ is the same for both values of x and y.
Hence, the constant of proportionality is ⅓
A triangular prism is the shape
the two triangles are opposite each other and they are connected with 3 rectangles and that makes it a triangular prism because it is 3D and triangularly shaped - I’m not sure how else to explain it
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.
