This would be the term referred to as a line segment. I hope this helps!
Answer: sin u = -5/13 and cos v = -15/17
Step-by-step explanation:
The nice thing about trig, a little information goes a long way. That’s because there is a lot of geometry and structure in the subject. If I have sin u = opp/hyp, then I know opp is the opposite side from u, and the hypotenuse is hyp, and the adjacent side must fit the Pythagorean equation opp^2 + adj^2 = hyp^2.
So for u: (-5)^2 + adj^2 = 13^2, so with what you gave us (Quad 3),
==> adj of u = -12 therefore cos u = -12/13
Same argument for v: adj = -15,
opp^2 + (-15)^2 = 17^2 ==> opp = -8 therefore sin v = -8/17
The cosine rule for cos (u + v) = (cos u)(cos v) - (sin u)(sin v) and now we substitute: cos (u + v) = (-12/13)(-15/17) - (-5/13)(-8/17)
I am too lazy to do the remaining arithmetic, but I think we have created a way to approach all of the similar problems.
Answer:
The cost of one adult ticket is $13, and the price of one student ticket is $4.
Step-by-step explanation:
This question can be solved using a system of equations.
I am going to say that:
x is the cost of an adult ticket
y is the cost of a student ticket.
6 adult tickets and 1 student ticket for a total of $82
This means that
The school took in $51 on the second day by selling 3 adult tickets and 3 student tickets.
This means that
Simplifying by 3
Since
The cost of one adult ticket is $13, and the price of one student ticket is $4.
The linear equation in slope-intercept form can be written as:
y = 5*x + 6
<h3>How to find the linear equation?</h3>
A general linear equation in the slope-intercept form is:
y = a*x + b
Where x is the independent variable, y is the dependent variable, and a and b are constant real numbers, such that a is the slope and b is the y-intercept.
Here we know that the slope is 5, then we can replace a by 5.
And we know that the y-intercept is (0, 6), it means that b = 6.
Then the linear equation in slope-intercept form can be written as:
y = 5*x + 6
If you want to learn more about linear equations:
brainly.com/question/1884491
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