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maddylosin1032
24.04.2021 •
Mathematics
The value of y is directly proportional to
the value of x. If x = 9 then y= 27, what is
the value of x when y= 156?
A) 3
B) 68
C)81
D) 52
Solved
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Ответ:
D) 52
Step-by-step explanation:
Ответ:
(A)
Step-by-step explanation:
The given trigonometric ratio is :
On solving this, we get
=![sin240^{{\circ}}](/tpl/images/0501/4860/5df58.png)
=![sin(180+60)](/tpl/images/0501/4860/475ba.png)
=![-sin60^{{\circ}}](/tpl/images/0501/4860/2a1ea.png)
=![-\frac{\sqrt{3}}{2}](/tpl/images/0501/4860/f6018.png)
(A) The given trigonometric ratio is :
=![cos150^{{\circ}}](/tpl/images/0501/4860/46c00.png)
=![cos(180-30)](/tpl/images/0501/4860/2771e.png)
=![-cos30^{{\circ}}](/tpl/images/0501/4860/bd6e7.png)
=![-\frac{\sqrt{3}}{2}](/tpl/images/0501/4860/f6018.png)
Which is equivalent to the given trigonometric ratio, thus (A) is correct.
(B) The given trigonometric ratio is :
=![cos300^{{\circ}}](/tpl/images/0501/4860/b285c.png)
=![cos(360-60)](/tpl/images/0501/4860/5e995.png)
=![-cos60^{{\circ}}](/tpl/images/0501/4860/7b238.png)
=![-\frac{1}{2}](/tpl/images/0501/4860/3e56c.png)
which is not equivalent to the given trigonometric ratio, thus(B) is incorrect.
(C) The given trigonometric ratio is :
=![\frac{\sqrt{3}}{2}](/tpl/images/0501/4860/5848d.png)
which is not equivalent to the given trigonometric ratio, thus(C) is incorrect.
(D) The given trigonometric ratio is :
=![sin210^{{\circ}}](/tpl/images/0501/4860/d7c1d.png)
=![sin(180+30)](/tpl/images/0501/4860/5a3b0.png)
=![-sin30^{{\circ}}](/tpl/images/0501/4860/6b260.png)
=![-\frac{1}{2}](/tpl/images/0501/4860/3e56c.png)
which is not equivalent to the given trigonometric ratio, thus(D) is incorrect.