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3 years ago

9

Calculate ZQRP 12 cm Р R 18 cm

1 answer:

olya-2409 [2.1K]3 years ago

4 0

Answer:

48 °

Step-by-step explanation:

The following data were obtained from the question:

Adjacent = 12 cm

Hypothenus = 18 cm

Angle R =?

We can obtain angle R by using cosine ratio. This can be obtained as follow:

Cos R = Adjacent / Hypothenus

Cos R = 12 / 18

Cos R = 0.6667

Take the inverse of Cos

R = Cos¯¹ 0.6667

R = 48 °

Thus, <QRP = 48 °

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PLEASE HELP ME I WILL MARK BRAINLYEST

Korvikt [17]

Question 9:

Given the equations

$5x+2y=6;$

$4x-8y=0$

solving the system of the equations

$\begin{bmatrix}5x+2y=6\\ 4x-8y=0\end{bmatrix}$

$\mathrm{Multiply\:}5x+2y=6\mathrm{\:by\:}4\:\mathrm{:}\:\quad \:20x+8y=24$

$\mathrm{Multiply\:}4x-8y=0\mathrm{\:by\:}5\:\mathrm{:}\:\quad \:20x-40y=0$

$\begin{bmatrix}20x+8y=24\\ 20x-40y=0\end{bmatrix}$

$20x-40y=0$

$-$

$\underline{20x+8y=24}$

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$\begin{bmatrix}20x+8y=24\\ -48y=-24\end{bmatrix}$

$-48y=-24$

$\frac{-48y}{-48}=\frac{-24}{-48}$

$y=\frac{1}{2}$

$y = 0.5$ ( 0.5 is the result of rounding 0.5 to the nearest 0.01)

$\mathrm{For\:}20x+8y=24\mathrm{\:plug\:in\:}y=\frac{1}{2}$

$20x+8\cdot \frac{1}{2}=24$

$20x+4=24$

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$x=1.00$ ( 1.00 is the result of rounding 1 to the nearest 0.01 )

So, the solution is:

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Question 10)

Similarly the question 10 can be solved.

Given the equations

$5x+2y=9;\:4x-3y=44$

solving

$\begin{bmatrix}5x+2y=9\\ 4x-3y=44\end{bmatrix}$

$\mathrm{Multiply\:}5x+2y=9\mathrm{\:by\:}4\:\mathrm{:}\:\quad \:20x+8y=36$

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$\begin{bmatrix}20x+8y=36\\ 20x-15y=220\end{bmatrix}$

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$\mathrm{For\:}20x+8y=36\mathrm{\:plug\:in\:}y=-8$

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$20x=100$

$x=5.00$ ( 5.00 Rounded to the nearest 0.01 or the Hundredths Place )

So, the solution is:

(x, y) → (5.00, -8.00)

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