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3 years ago

I need help please on this

Mathematics

1 answer:

Free_Kalibri [48]3 years ago

5 0

Draw
Left side:
(1)Square=1 (1)Triangle=5 (1)Circle=6
1+5=6+6=12
Right side: (2)Circle=6
6+6=12

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6) Two coastguard stations P and Q are 17km apart, with due East of P. A ship S is observed in distress on a bearing 048° fromP

adelina 88 [10]

Answer:

The ship S is at 10.05 km to coastguard P, and 12.70 km to coastguard Q.

Step-by-step explanation:

Let the distance of the ship to coastguard P be represented by x, and its distance to coastguard Q be represented by y.

But,

<P = 048°

<Q = $360^{o}$ - $324^{o}$

= 0 $36^{o}$

Sum of angles in a triangle = $180^{o}$

<P + <Q + <S = $180^{o}$

048° + 0 $36^{o}$ + <S = $180^{o}$

$84^{o}$ + <S = $180^{o}$

<S = $180^{o}$ - $84^{o}$

= $96^{o}$

<S = $96^{o}$

Applying the Sine rule,

$\frac{y}{Sin P}$ = $\frac{x}{Sin Q}$ = $\frac{z}{Sin S}$

$\frac{y}{Sin P}$ = $\frac{z}{Sin S}$

$\frac{y}{Sin 48^{o} }$ = $\frac{17}{Sin 96^{o} }$

$\frac{y}{0.74314}$ = $\frac{17}{0.99452}$

⇒ y = $\frac{12.63338}{0.99452}$

= 12.703

y = 12.70 km

$\frac{x}{Sin Q}$ = $\frac{z}{Sin S}$

$\frac{x}{Sin 36^{o} }$ = $\frac{17}{Sin 96^{o} }$

$\frac{x}{0.58779}$ = $\frac{17}{0.99452}$

⇒ x = $\frac{9.992430}{0.99452}$

= 10.0475

x = 10.05 km

Thus,

the ship S is at a distance of 10.05 km to coastguard P, and 12.70 km to coastguard Q.

6 0

3 years ago

N fewer carrots than 12

3241004551 [841]

Its simple (n-12) because n is the variable and since it says fewer, then that means less than, which is subtracted by the number given which would be 12. Hope this helps! XD

8 0

3 years ago

Airida [17]

Answer:

$308.50

Step-by-step explanation:

3702 ÷ 12 = 308.5 is her monthly payment

5 0

3 years ago

1) What is the distance between (4.3)<br> and (3,-2)?

NemiM [27]

Answer:

Step-by-step explanation:

Distance = (x2 - x1) ² + (y2 - y1)²

Distance = ( 3-4)² + (-2-3)²

Distance = 26

6 0

3 years ago

Which expression calculates the speed in meters per second of an object that travels a distance of 100 m every 20 s?

QveST [7]

A. 100/20

The distance in meters should be divided by the time in seconds to get the value of the distance in meters travelled in one second.

8 0

3 years ago