The diameter of the sphere is 60 mm which means its radius is 30mm. <span>The radius of a sphere is increasing at a rate of 5 mm/s.
The formula for the radius when the time is x second would be:
</span>r(t)<span>= 30+ 5x
dr/dt= 5
The speed of </span><span>volume increase </span><span>of the sphere volume would be derived from sphere volume:
</span>V(r)=4/3* pi * r^3<span>
dV/dt= 4/3 * pi * 3r^2 * (dr/dt) =4/3* pi * 3(30)^2 * 5 = 18000 pi= 56571 mm^3/s</span>
Answer:
x = 8.0 m
Step-by-step explanation:
With the angle presented, I'm assuming you know basic trigonometry. We know cosθ = adj/hyp from SOH CAH TOA. We have angle and hypotenuse, so plugging in those values we get cos(20°) = x / 8.5. Solve for x to get 8.5cos(20°) = 7.987387277 m = 8.0 m.
To figure this out you would have to divide 180 by 10(which equals 18))
Answer:
(0,-2)
(1,-1)
(5,-3)
Step-by-step explanation:
To solve this question, all you need to do is put the x coordinate in for x and the y coordinate for y. (x,y) We need to find the equation that is less than or equal to 3.
Answer:
24 dollars
Step-by-step explanation:
