<span>x^3=8/125
x^3 = 2^3 / 5^3
x = 2/5
hope it helps</span>
Let 
be the line given by the vector equation
.
First, we use the director vectors of the lines L1 and L2 to get the
vector equation of the plane containing them, which we denote by 
. This is,
We observe that 
. Therefore, the vector equation of defines a plane and 
is a normal vector to 
Finally, the vector equation for the wanted plane, which we denote by 
, is
Thus, if 
, then 
and since is parallel to , then it is perpendicular to .
The real engine is 65.25 feet long
<h3>How to determine the length?</h3>
The scale is given as:
Scale = 87 feet to 1 foot
The scale length is given as
Scale length = 9 inches
Convert inches to feet
Scale length = 9/12 feet
The actual length is then calculated as:
Actual = 87 * 9/12 feet
Evaluate
Actual = 65.25 feet
Hence, the real engine is 65.25 feet long
Read more about scale ratios at:
brainly.com/question/16192120
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<span>From the choices above, the most likely to be a reasonable solution is C</span>.)40 batches of cookies and 20<span> batches of cupcakes.</span>
Answer:
3 obreros tardaran 225 minutos en completar el trabajo.
Step-by-step explanation:
Sea R la velocidad con la que un obrero puede construir 1 muro.
Sabemos que 15 obreros construyen un muro en 45 minutos, entonces:
(15*R)*45min = 1 muro
Con esta ecuación podemos encontrar el valor R
R = (1 muro)/(15*45min)
Ahora queremos saber cuando tiempo tardan 3 obreros en construir un muro, entonces tenemos que resolver:
(3*R)*T = 1 muro
Reemplazando el valor de R obtenemos:
(3*(1 muro)/(15*45min))*T = 1 muro
T = (1 muro)*(15*45 min)/(3*1 muro)
T = 5*45min = 225 min
3 obreros tardaran 225 minutos en completar el trabajo.
