Answer:
a) t (α) = 30 * tan α
b) α = 75 ° is not possible because
Step-by-step explanation:
The vertical cliff (y), the observing partner ( 150 ft ) from the point o ( the common point for the cliff and the ground ) between the cliff, and the line of sight from the observer and the climber, shape a right triangle. Hypothenuse is the distance between the partners, the cliff, and distance of the observer to the cliff are the legs.
Then
α is the elevation angle
tan α = y / 150 (1)
y(t) = elevation of the climber
y(t) = speed * time
y(t) = 5 * t
tan α = 5 *t / 150
tan α = t / 30
t (α) = 30 * tan α
b) α = 75 ° is not possible because:
tan α = y / 150 tan 75° = 3.73
Then y = 3.73 * 150 = 559 ft and the cliff is only 500 ft
First we need to know what 25% of 50 dollars is:
25%=25/100
25/100*50=1/4*50=12.5
So now the "off" means that we need to take it off the 50 dolars, so it will be 50-12.5, which is 37.5, and this is the correct answer.
Answer:
7
Step-by-step explanation:
The function is f(x) so if x is replaced with a number, that's the value that x is in the equation. In this case, it'll be -5, so go to -5 on your graph. The y value is 7.
Answer:
True
Explanation:
First of all its necessary remember that a linear system is a compound of multiple equations that involve variables.
<h2>Existence:</h2>
Depending on the number of equations and the number of variables, you could determine if the linear system has a solution or not. There are 3 possibilities:
- If the linear system has more equations than variables could exist infinite answers.
- If the linear system has more variables than equations, it is considered an undetermined system and you neer more information to solve it.
- If the linear system has the same number of equations and variables, the system is consistent and has at least one solution.
<h2>
Uniqueness:</h2>
If possibility 3 is presented, it becomes necessary know if its the only one solution or exists more than one solution.
Rgds.