Answer:
-4
Step-by-step explanation:
The average rate of change of the interval [a,b] is (f(b)−f(a)) / (b−a)
Replacing a=−5, b=4, f(x)=−x^2−5x+12.
(f(b)−f(a))/(b−a) =12−5x4− 4^2 − (12−5 x(−5)−(−5)^2)/ (4−(−5))= −4.
Answer:
24
Step-by-step explanation:
If we want to cover the base of the prism having dimensions 2 cm × 1 cm with 
cm length of cube, then there will be (4 × 2) = 8 cubes that can occupy the base.
Width is 1 cm, so there can fit 2 cubes of length cm and length is 2 cm, where 4 cubes of length cm can fit. So, in total (4 × 2) = 8 cubes of cm length.
Now, height of the prism is 
cm where 3 cubes of length cm can fit.
Therefore, in total there can be (8 × 3) = 24 cubes of cm length. (Answer)
Answer:
the radius is 7
Step-by-step explanation:
the full lenght is the circumference and a raduis is half of that, therefore 7
Answer:
15
Step-by-step explanation:
There is only 1 remaining side
We have 2 sides and an included angle, we use the Law of Cosines to solve the third side:
c^2 = a^2 + b^2 -2ab *cos(C)
c^2 = .5^2 + .333333333...^2 - 2 * .5 * .3333333... * cos (95)
c^2 = .25 + .1111111111111111... -2*.5*.3333333333...* -0.087156
c^2 = 0.3611111111 + 0.029052
c^2 = 0.3901631111
c = 0.6246303796
