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Andreas93 [3]
11 months ago
7

Need to find out how to solve 4/p=11/2

Mathematics
1 answer:
sashaice [31]11 months ago
6 0

To solve the equation for p, we can first apply the cross product method, that is, we multiply the numerator and denominator that each line of the "X" connects.

Then, we have:

\begin{gathered} \frac{4}{p}=\frac{11}{2} \\ 4\cdot2=11\cdot p \\ 8=11p \end{gathered}

Now, we divide by 11 from both sides of the equation:

\begin{gathered} \frac{8}{11}=\frac{11p}{11} \\ \boldsymbol{\frac{8}{11}=p} \\ \text{ or} \\ 0.72=p \end{gathered}

Therefore, the value of p that satisfies the given equation is 8/11 or 0.72.

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Answer:

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Tan A = 1/2 means that the right triangle containing angle A has legs of length 1 and 2 units. So the hypotenuse  = √(1^2 + 2^2) = √5  (using the Pythagoras theorem). The side opposite to < A = 1 unit and the adjacent side = 2 (as tan = opposite / adjacent).

so cos A =  adjacent / hypotenuse =   2/√5.

and sin A = opposite / hypotenuse = 1 / √5

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We can simplify it further by multiplying top and bottom of the fraction by the complement of √5 + 2 which is √5 - 2.

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= { 2(√5 + 2) + 1 } /  (√5 + 2)

Multiplying this by  √5 - 2 / √5 - 2 we get:

(2(5 - 4) + √5 - 2) /  (5 -4)

=  2 + √5 - 2 / 1

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