Answer:
Hours
Step-by-step explanation:
This is an incorrect figure.
Answer:
The value equals 1
Step-by-step explanation:
Consider the expression

Recall that


For two complementary angles A and B (where A+B=90°),
the identity is
cos(A) = sin(B)
Here, 26° and 64° are complementary angles, so

Substituting values,


From this, we find

By substitution,

Response:
a) 
b) From t increasing from 3 to 6, v changes from 18 gallons to 12 gallons.
Detailed explanation:
The relationship between the tank’s volume and time is given by:

Where V(0) indicates the starting volume and a denotes the hourly decrease.
a. Create a formula for v in terms of t.
The tank starts with 24 gallons of water, hence 
It drains steadily at 2 gallons each hour, therefore 
Then


b. When t progresses from 3 to 6, v changes from _________ to _________



So as t progresses from 3 to 6, v shifts from 18 gallons to 12 gallons.
The likelihood of selecting one girl is calculated as
. This is based on having 5 girls within a total of 12 students, and the probability of an event can be expressed as:
.
Using the same reasoning, for the next student, we have reduced the number of students by 1, leading to 11 possible outcomes instead of 12, giving us:
, which represents the probability of selecting a boy as the second choice.
Lastly, the probability of choosing a girl for the third selection follows the same logic and is given as:
.
However, we must combine these individual probabilities to determine the likelihood of this specific sequence of selections occurring:

This simplifies to:

Answer:
45 millas.
Explicación paso a paso:
Dado que la:
Distancia total recorrida = 390 millas
Tiempo total = 8 horas
Designando la distancia recorrida por la vía local como L
y la distancia recorrida por la carretera como H
Por la vía local,
La Velocidad = distancia/ tiempo
20 = L / T
T = L /20.... (1)
Por la carretera,
Distancia recorrida H = 390 - L
Sea el tiempo = t
La Velocidad = distancia/tiempo
60 = (390 - L)/t
t = ( 390 - L)/60
Pero el tiempo total = T + t
<pEs decir
8 = L/20 + (390 - L)/60
<pEl MCM en el lado derecho sería 60<p8 = ( 3L + 390 - L )/60<pMultiplicamos en cruz
480 = 2L + 390
<pAgrupamos los términos semejantes
2L = 480 - 390
2L = 90
L = 90/2
L = 45 millas.
<pAsí que la distancia que Minato recorrió por vías locales es de 45 millas