The equation of the sphere is
.. (x -8)^2 +(y +7)^2 +z^2 = 10^2
Then the bottom hemisphere has the equation
.. z = -√(100 -(x -8)^2 -(y +7)^2)
Answer:
<h2>
-29.61m/s</h2>
Step-by-step explanation:
Given the distance of fall of the student in term of the time t expressed by the equation s(t) = −16t² + 8√t, to get the average speed of fall of the pencil after 2.8 secs, we will need to differentiate the given function first since Velocity is the change in distance of a body with respect to time i.e
V = d(s(t))/dt
s(t) = −16t² + 8t^1/2
V = -32t+1/2(8)t^(1/2 - 1)
V = -32t+4t^-1/2
The average speed of the fall Using the fact that the pencil hit the ground in exactly 2.8 seconds, will be gotten by substituting t = 2.8 into the resulting equation.
V = -32t+4(2.8)^-1/2
V = -32t+4/√2.8
V = -32+4/1.6733
V = -32+2.391
v = -29.61m/s
<em>Hence the average speed of the fall is -29.61m/s</em>
Answer:
Parallel
corresponding angles theorem
NYM
AA
Step-by-step explanation: I DID IT ON EDGE! : )
We know that side NM is _________________
✔ parallel
to side XZ. If we consider side NY the transversal for these parallel lines, we create angle pairs. Using the _____________
✔ corresponding angles theorem
, we can state that ∠YXZ is congruent to ∠YNM. We know that angle XYZ is congruent to angle _____________
✔ NYM
by the reflexive property. Therefore, triangle XYZ is similar to triangle NYM by the _____________
✔ AA
similarity theorem.
<h2>one 1</h2>
<h2>please mark in brain list </h2>
