In the accompanying diagram of circle O, point O

Mathematics

1 answer:

densk [106]2 years ago

5 0

The number of degrees in the first quadrant is 45 degrees.

<h3>Coordinates of a circle</h3>

The formula for calculating the angle in the first quadrant If the coordinates of point J are $(\frac{\sqrt{2}}{2}, \frac{\sqrt{2}}{2})$

$tan \theta = \frac{y}{x}\\tan \theta =\frac{\frac{\sqrt{2}}{2} }{\frac{\sqrt{2}}{2} }\\tan \theta =1\\\theta = tan^{-1}1\\\theta = 45^0$

From the calculation above the number of degrees in the first quadrant is 45 degrees.

Learn more on circles here: brainly.com/question/24375372

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A band is playing at an auditorium with floor seats and balcony seats. The band wants to sell the floor tickets for $15 each and

Zolol [24]

Answer:

Step-by-step explanation:

Lets denote number of floor tickets by x and

Lets denote number of balcony tickets by y as shown in the figure in the question

so, floor tickets are sold for $15 each which means number of x tickets would be sold by $15 multiplied by x which means 15x and balcony tickets are sold for $12 each which means number of y tickets would be sold by $12 multiplied by y which means 12y furthermore it says they want to make at least $3000 which would mean they want to make at least $3000 or higher meaning ≥3000 so the inequality would be

a) $15x+12y\geq 3000$

b) The ordered pair A we can see that A is the y-intercept which means the point A can also be written as (0 , y) so we put this point into our equation

15x + 12y = 3000 which is the boundary line. So here goes,

$15x+12y=3000\\15(0)+12(y)=3000\\12y=3000\\y=3000/12\\y=250\\$

so our y-intercept is 250 which means Point A is (0 , 250)

c) They should shade the area above the boundary line because in this context the band that is playing wants to make at least $3000 which means they want to make more than $3000 . So when a ≥ sign appear we shade the area above the boundary line and when the ≤ sign appears we shade the area below the boundary line. If it were in the question the bands wants to make at most $3000 then the ≤ would appear.

I have attached a graph to clearly visualize the solution as well.