Again, a^2+b^2=c^2
c=10
b=9
10 squared is 100
9 squared is 81
100-81=19
The square root of 19, rounded to the nearest hundredth, is 4.36
Answer:
a) <em>"K" is proportional Constant K= 0.0833</em>
<em>b) The value of b = 99.639</em>
Step-by-step explanation:
<u><em>Explanation</em></u> :-
Given 'a' is directly proportional to 'b'
a ∝ b
<em> a = k b ....(i)</em>
<em>where "K" is proportional Constant</em>
<u><em>Case(i)</em></u><em>:-</em>
<em>when a =6 and b=72</em>
<em> a = k b </em>
<em> ⇒ 6 = k (72)</em>
<em> ⇒ </em>
<em> </em>
<u><em>Case(ii)</em></u><em>:- </em>
<em> Given a = 8.3 </em>
<em> a = k b </em>
<em>⇒ 8.3 = 0.0833 ×b</em>
<em>⇒ </em>
<em></em>
<u><em>Final answer</em></u><em>:-</em>
a)<em>"K" is proportional Constant K= 0.0833</em>
<em>b) The value of b = 99.639</em>
<em></em>
<em></em>
<em></em>
<em></em>
Answer:
18x^2 - 9
Step-by-step explanation:
y = f(x)= 6x^3 - 9x + 4
dy/dx = d/dx(6x^3) - d/dx(9x) + d/dx (4)
=6.d/dx(x^3) - 9.d/dx (x) + d/dx. (4)
=6.3x^2 - 9.1 + 0 =18x^2 - 9
That would be
cos x
sin x + cos x * --------
sin x
sin x
Mult sin x by ----------
sin x
to obtain
(sin x)^2
------------
sin x
and then add
(cos x)^2
-------------
sin x
with the outcome being
(sin x)^2 + (cos x)^2 1
--------------------------- = --------- = cos x (answer)
sin x sin x