Step-by-step explanation:






Taking sin²θ common in both numerator & denominator, We get :










<u>Hence</u><u>,</u><u> option</u><u> </u><u>(</u><u>a)</u><u> </u><u>2</u><u>/</u><u>3</u><u> </u><u>is </u><u>your</u><u> </u><u>correct</u><u> </u><u>answer</u><u>.</u>
Let x and y be the two positive numbers. - Their product is 192: x * y = 192 equation 1
- the sum of the first plus twice the second is a minimum: x + 2y
<span>From the first equation, y = 192 / x.
Substitute that into the second equation:
</span>
x + 2y = x + 2(<span>192/x ) = x + 384/x
</span>f(x) is minimum when f'(x) = 0 and f"(x) > 0
f(x)= <span>x + 384/x
</span>
f(x) = 1-384/x^2
<span>1-384 / x^2 = 0
x^2-384 = 0
x^ 2= 354
x = radical 354 = 18.8 here i'm confused why the number is decimal
???/
</span>
D..............................
I think the answer is 30x+330>50x
Step-by-step explanation:
for the option A it was slightly changed,
cause the $30 was deposited by <em><u>helen</u></em> not <em><u>Vince.</u></em>
<em><u>so </u></em><em><u>check </u></em><em><u>that </u></em><em><u>well</u></em>