Answer:
Step-by-step explanation:
We have been given the following expression;
-13/√x
In order to rationalize the denominator, we multiply the numerator and the denominator by √x;
What is the answer in the remainder
2 answers:
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One way to solve this question is through trigonometry. :)
If you've learnt trigonometry, here are the basic formulas:
SOH CAH TOA (These formulas only apply for right-angled triangles)
Sin(angle) = (Side that is Opposite of angle)/(Hypotenuse)
Cos(angle) = (Side that is Adjacent of angle)/(Hypotenuse)
Tan(angle) = (Side that is Opposite of angle)/(Side that is Adjacent of angle)
In this case, we should use sine of b (the angle at the top of triangle as indicated in your question), where the opposite side is the base (I.e. 4 indicated in your question) and the hypotenuse is 9.
sin(b) = 4/9
{Make angle b the subject of the equation}
{Type this into the calculator}
Angle b = 26.4° (rounded off to 1 decimal place)
Hope this helps! :)
If you've learnt trigonometry, here are the basic formulas:
SOH CAH TOA (These formulas only apply for right-angled triangles)
Sin(angle) = (Side that is Opposite of angle)/(Hypotenuse)
Cos(angle) = (Side that is Adjacent of angle)/(Hypotenuse)
Tan(angle) = (Side that is Opposite of angle)/(Side that is Adjacent of angle)
In this case, we should use sine of b (the angle at the top of triangle as indicated in your question), where the opposite side is the base (I.e. 4 indicated in your question) and the hypotenuse is 9.
sin(b) = 4/9
{Make angle b the subject of the equation}
{Type this into the calculator}
Angle b = 26.4° (rounded off to 1 decimal place)
Hope this helps! :)
Since triangles ABC and BCD are similar, we can establish a proportion between the lengths of corresponding sides:
We can infer from our picture that
. Also we can find the length of AC by adding AD and CD:
Lets replace the values in our proportion:
Solving for
:
We can conclude that the correct answer is: D
We can infer from our picture that
Lets replace the values in our proportion:
Solving for
We can conclude that the correct answer is: D