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3 years ago

What is the answer to this question?

Mathematics

2 answers:

jarptica [38.1K]3 years ago

8 0

Answer:

(check the image below)

Step-by-step explanation:

Use Algebra Calculator: Math Papa. Really super helpful! I use it all the time for my math homework and it is literally never wrong! I hope this helps! Have a great day!!

nirvana33 [79]3 years ago

8 0

Answer:

x = 10, y = 40

Step-by-step explanation:

Given the 2 equations

y = 4x → (1)

2y + 2.5x = 105 → (2)

Substitute y = 4x into (2)

2(4x) + 2.5x = 105, that is

8x + 2.5x = 105

10.5x = 105 ( divide both sides by 10.5 )

x = 10

Substitute x = 10 into (1)

y = 4x = 4 × 10 = 40

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Read 2 more answers

A petrol kiosk p is 12 km due north of another petrol kiosk q. The bearing of a police station r from p is 135 degree and that f

tiny-mole [99]

Answer:

Distance between P and R is 40.15 km.

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°)

= 180° - 165°

= 15°

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.

8 0

3 years ago