The correct answer is B) 9 m.
The measure of the sector of circle R is 32π/9 m. The measure of the central angle is 80°. This means that the sector is 80/360 = 2/9 of the circle. The area of a circle is given by A=πr², so the area of the sector is A=2/9πr². To verify this, 2/9π(4²) = 2/9π(16) = 32π/9.
Using this same formula for circle S, we will work backward to find the radius:
18π = 2/9πr²
Multiply both sides by 9:
18*9π = 2πr²
162π = 2πr²
Divide both sides by 2π:
162π/2π = 2πr²/2π
81 = r²
Take the square root of both sides:
√81 = √r²
9 = r
To find the derivative, you must use the chain rule.
If u=x^3+2x:
dy/dx=(dy/du)(du/dx)
dy/du=d/du(e^u)=e^u=e^(x^3 + 2x)
du/dx =d/dx (x^3+2x) = 3x^2 + 2
So dy/dx=
e^(x^3+2x) * (3x^2+ 2)
Answer
Step-by-step explanation:
Both 1 and 2 equel up to 90 degrees
so to find x for 1 and 2 you would simplify the equations
90 = 6x - 3
and
90= 3x - 6
simplify them and you wil get the answers you want
another way to do it is combining the two and solve.
90 = 9x - 9
Just simplify :)
Answer:my
The height of the stack will be 9.15×10^20_m
Or 9.15×10^17_Km
Which is 6 billion times more more than the distance to the sun
Or 22.9 million times further than the star Proxima Centauri
Step-by-step explanation:
Given
Avogadro's number = 6.02×10^23 particles
And the thickness of a penny = 1.52_mm
The height of the stack will be
1.52 × 6.02 ×10^23 = 9.15×10^23_mm 9.15×10^20_m
Answer: 285.2 kg
Step-by-step explanation:
Given
The volume of helium in the balloon is 
The density of the helium is 
Mass of the helium gas is given by the product of density and volume
Thus, the mass of gas is 285.2 kg
