Answer:
900 front row seats
Step-by-step explanation:
Tickets for front row seat = 220 dollars (y)
Cost of remaining seats ticket = 50 dollars (z)
Number of front row seats = x
Number of remaining seats = 2050 (w)
Total amount earned when stadium is full = 300,500 dollars (T)
so if we formulate this using our variables y,z,x,w and T problem it becomes:
y*x + z*w = T, which says the
Tickets for front row seat times Number of front row seats plus Cost of remaining seats ticket times Number of remaining seats gives us Total amount earned by the stadium.
220*x + 2050*50 = 300500
220*x = 300500-102500
220*x = 198000
divide both side by 220
x = 900
Answer:
90
Step-by-step explanation:
Answer:
Step-by-step explanation:
If MQ also bisects angle ∠LMP, then;
<LMQ + <QMP = <LMP
Also <LMQ = <QMP
The equation becomes <QMP + <QMP = <LMP
2<QMP = <LMP
Let <LMP be 8x+40° (This is an assumed value)
2(5x+10) = 8x+40
Open the parenthesis
10x+20 = 8x+40
10x-8x = 40-20
2x = 20
x = 20/2
x = 10
Find <QMP
Since <QMP = 5x+10
<QMP = 5(10)+10
<QMP = 50+10
<QMP = 60 degrees
<em>Note that the angle <LMP was assumed. Any other function can be used depending on the question</em>
Answer:
The x coordinate of S is b.
Step-by-step explanation:
a)
The coordinates of Point Q are:
(2a+2b)/2, 2c/2
= [(a + b), c].
The slope of the line AB
= (0-2c)/(2b-2a)
= -c/(b-a)
So The slope of the line QS = (b - a) / c = (b - a)/c.
Its equation is
y - c = (b - a)/c ( x - (a+b))
y = (b - a)/c ( x - (a+b)) + c.
The coordinates of Point P are:
(2a+0)/2, 2(c+ 0)/2
= (a, c)
The slope of the line AO
= (2c)/2a
= c/a
So The slope of the line PS = -a/c
Its equation is
y - c = -a/c(x - a)
y = -a/c(x - a) + c
b)
So:
(b - a)/c ( x - (a+b)) + c
= -a/c(x - a) + c
(b - a)(x - a - b) + c^2 = -a(x - a) + c^2
(b - a)(x - a - b) = -a(x - a)
bx - ab - b^2 - ax + a^2 + ab = -ax + a^2
bx - ax + ax + a^2 - a^2 - ab + ab = b^2
bx = b^2
x = b = the x coordinate of S.
c). The point R has the same x coordinate as S So RS is perpendicular to OB.
The first sixty digits of its decimal expansion are: 1.73205080756887729352744634150587236694280525381038062805580
the value of root 3 with three decimal places is 1.732
