First of all in order for us to figure out what angle x is we need to find the formula for finding that specific type of angle.
Formula is...
x = (far arc - close arc) ÷ 2
Now we just need to plug in.
x = (172° - 52°) ÷ 2 =
x = 120° ÷ 2 = 60°
Your answer: x = 60°
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Answer:
a. The critcal points are at

b. Then,
is a maximum and
is a minimum
c. The absolute minimum is at
and the absolute maximum is at 
Step-by-step explanation:
(a)
Remember that you need to find the points where

Therefore you have to solve this equation.

From that equation you can factor out
and you would get

And from that you would have
, so
.
And you would also have
.
You can factor that equation as 
Therefore
.
So the critcal points are at

b.
Remember that a function has a maximum at a critical point if the second derivative at that point is negative. Since

Then,
is a maximum and
is a minimum
c.
The absolute minimum is at
and the absolute maximum is at 
Answer:
12
Step-by-step explanation:
469.75-10.75 =
459 ÷ 38.25 =
12
Sides of first rectangle are 12 inches and 6 inches
and sides of second rectangle are 10 inches and 5 inches
So to find the ration of sides we can do
Ratio of bases = 12/10 = 6/5
Ratio of altitudes = 6/5
Area of first rectangle = base * altitude = 12 *6 = 72 square inches
The quantity of each type of seats sold are as follows:
- Movie and a dinner seat = 200
According to the question,there are four times as many 3D, x seats as Dinner and a Movie, y seats.
That is, x = 4y
Also, total seats
= (x) + (y) + (z) = 3000...….............eqn(1)
Also, If the theater brings in $53,000 when tickets to all 3000 seats are sold.
- 20x + 35y + 15z = 53000...........eqn(2)
By substituting 4y for x in equations 1 and 2; we have;
<em>5y + z = 3000</em>..…........eqn(3) and
<em>115y + 15z = 53000</em>.........eqn(4)
By solving equations 3 and 4 simultaneously; we have;
y = 200 and z = 2000
and since x = 4y
x = 800
The quantity of each type of seats sold is as follows:
- Movie and a dinner seat = 200
Read more:
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