Answer:
8
Step-by-step explanation:
Let's say the ant is walking across the floor. Then it hits the wall and starts climbing to the ceiling.
We have a right triangle, as in the diagram, so we can apply Pythagoras' Theorem.
x² + 6² = 10²
x² + 36 = 100
x² = 64
x = 8
The ant must walk eight vertical units.
Answer:
yes they both equal 2 1/2
Answer:
x=-9
Step-by-step explanation:
Consider the function
, which has derivative
.
The linear approximation of
for some value
within a neighborhood of
is given by
Let
. Then
can be estimated to be
![\sqrt[3]{63.97}\approx4-\dfrac{0.03}{48}=3.999375](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B63.97%7D%5Capprox4-%5Cdfrac%7B0.03%7D%7B48%7D%3D3.999375)
Since
for
, it follows that
must be strictly increasing over that part of its domain, which means the linear approximation lies strictly above the function
. This means the estimated value is an overestimation.
Indeed, the actual value is closer to the number 3.999374902...
