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2 years ago

8

Which of these is a algebraic expression for five times the sum of two And Y?

1 answer:

andre [41]2 years ago

3 0

Hey there!

The correct choice is D. 5(2 + y)

As you can see, the expression matches the description

5 times = 5( The parentheses directly next to the 5 means to multiply what is inside the parentheses by that number, in this case, 5

The sum of 2 and y = (2 + y)

Therefore, that makes D the CORRECT option

Hope this helps you!

God bless ❤️

xXxGolferGirlxXx

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Step-by-step explanation:

From the picture attached,

Petrol kiosk P is 12 km due North of another petrol kiosk Q.

Bearing of a police station R is 135° from P and 120° from Q.

m∠QPR = 180° - 135° = 45°

m∠PQR = 120°

m∠PRQ = 180° - (m∠QPR +m∠PQR)

= 180° - (45° + 120°)

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Now we apply sine rule in ΔPQR to measure the distance between P and R.

$\frac{\text{sin}(\angle QPR)}{\text{QR}}= \frac{\text{sin}(\angle PQR)}{\text{PR}}=\frac{\text{sin}\angle PRQ}{\text{PQ}}$

$\frac{\text{sin}(45)}{\text{QR}}= \frac{\text{sin}(120)}{\text{PR}}=\frac{\text{sin}(15)}{\text{12}}$

$\frac{\text{sin}(120)}{\text{PR}}=\frac{\text{sin}(15)}{\text{12}}$

PR = $\frac{12\text{sin}(120)}{\text{sin}(15)}$

PR = 40.15 km

Therefore, distance between P and R is 40.15 km.

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