Y'=4x^3+4
(f(x+dx)-f(x))/dx
f(-2+.01)-f(-2)/.01
((15.6824+f(x))/.01
23.6824/.01=2368.2392
Answer:
The triangles are congruent by congruency theorem SAS.
Step-by-step explanation:
Side-Angle-Side, as it suggests, is when a triangle is congruent by the order of congruent side, congruent angle, and another congruent side. If named certain ways, they can be congruent. Since the question does not provide a specific way of naming the triangles, we can assume that any way is allowed. 2.5 and 2.5 are congruent, followed by angles D and G which have the congruent angle markers. The congruent angles are followed by 1.7 and 1.7, making the triangles congruent by Side-Angle-Side.
Answer:
A person who has height less than 5.2521 m can walk under the rope without hitting his/her head.
Step-by-step explanation:
Radius of earth = R
Length of rope around Earth = Circumference of Earth = 2πR
Now add 33 m to the length of the rope that means to increase the circumference
C = 2πR+33
Now,
C = 2πR'
⇒2πR' = 2πR+33
In order to find the height we need to find difference of the radii
⇒2πR'-2πR = 33

So, a person who has height less than 5.2521 m can walk under the rope without hitting his/her head.