Answer:
Arc DB = 146
x = 5
Step-by-step explanation:
Remark
The relationship between the large arc, the small arc and the intersecting angle is
1/2 (large arc - small arc) = intersecting angle.
Givens
Large arc = 25x + 21
Small arc = 96
5x
Solution
1/2*(25x + 21 - 96) = 5x*2 Multiply both sides by 2
25x + 21 - 96 = 10 x Combine
25x - 75 = 10x Subtract 25x from both sides
-75 = 10x - 25x
-15x = -75
x = 5
DB = 25x + 21
DB = 25*5 + 21
DB = 125 + 21
DB = 146
Tell me if this is not in the choices.
It is the line of symmetry of a parabola and divides a parabola into two equal halves that are reflections of each other about the line of symmetry.
It intersects a parabola at its vertex.
It is a vertical line with the equation of x = -b/2a.
So some quick tips for inequalities:
**What you do to one side you HAVE TO do it to the other 2**
**If you ever divide a negative number past the inequality signs, the signs FLIP!!**
(e.g. 2>-5x>25)
-2/5 <x < -5
I hope that this has helped!
Answer:
Cooking will be shortest when the househusband covers the beef stew with the heavy lid.
Step-by-step explanation:
The explanation for this is that water boils at 100°C at normal atmospheric pressure & it remains at that temperature until all the water evaporates as steam; the temperature can then go higher in steam form.
So, if he leaves the pan uncovered the pressure above the beef stew will be the atmospheric pressure and the temperature of the stew will not pass the 100°C mark and the food cooks at 100°C.
If he places a light lid on top, the pressure will build up & the temperature at which water remains liquid is a bit higher, but eventually the steam will push the lid to escape thereby releasing pressure & reducing the temperature.
If he puts a heavy lid on the pan the pressure can build up the highest and the temperature of the water in the stew will stay the highest ensuring the fastest cooking.
Basically, the heavier the lid, greater the pressure in the pan. As the pressure gets greater, the saturation temperature at which water starts boiling will be higher. And higher boiling temperatures mean shorter cooking times.
