15.75 divided by .25 is 63
Thousandths hope it helps
1. By definition, the chord of a circle is a segment that joins the two points of an arch and if it passes through the center of the circle, is called "diameter". There is a formula that you can use to find the chord lenght. This is:
Chord lenght=2rSin(A/2)
2. Let's convert the angle from degrees to radians:
75°π/180°=5π/12
3. So, you have:
r: It is the radius of the circle (r=100 feet).
Sin: It is the sine function.
A: It is the angle subtended at the center by the chord (A=5π/12).
4. When you substitute these values into the formula (Chord lenght=2rSin(A/2)), you obtain the chord lenght:
Chord lenght=2rSin(A/2)
Chord lenght=2(200 feet)(Sin(5π/12/2))
5. Therefore lenght of the chord is:
Chord lenght=18.2706 feet
The critical values for x are -2 and -6.
We break the function domain into regions:
-∞ to -6 f(x) ≥ 0
-6 to-2 f(x) < 0 this is the correct statement, answer 2
-2 to +∞ f(x) ≥ 0
Answer:
a). V = 14.6208 litres : b). = 0.29844 Litres/sec
Step-by-step explanation:
a).
Step 1.
Volume when one half of rod is inserted = (50/2)*(2.2) = 55cm³
Step 2.
As we know that,
V = (ρVIΔT) / (ρL) where = 290 - 4.2 = 285.8K
sepecififc heat of aluminum = 0.215 cal/g
density = 2.7 g/cm3
= (2.7)*(55)*(0.215)*(285.8) / (0.125)*(20900)*(1/4186)
V = 14.6208 litres
b).
Step 1.
As we know that
P = kA(dT/dx) = 31*2.2*[(290-4.2)/25]
= 779.6624 W
Step 2.
Now, approximate boil rate of helium is:
P/ρL= [(779.6624)*(10^3g/kg)] / [(0.125)*(20900)]
= 0.29844 Litres/sec