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3 years ago

What is the approximate value of log 12 if log 2 =0.301, log 3 =0.477, and log 6 = 0.778

Mathematics

1 answer:

lara31 [8.8K]3 years ago

6 0

Answer:1.079

Step-by-step explanation:

We know that log a +log b = logab

Using this rule, we will find log12.

Log6 + log2= log12

.778 + .301 = 1.079

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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

35% of x is 3.5 What is the value of x

docker41 [41]

Answer: x =10

Step-by-step explanation:

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4 0

3 years ago

Subset of {a b c d e f} needs 64 subsets

spin [16.1K]

Answer:

Determine the power set of S, denoted as P:

Term Number Binary Term Subset

12 01100 {b,c}

13 01101 {b,c,e}

14 01110 {b,c,d}

15 01111 {b,c,d,e}

Step-by-step explanation:

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8 0

2 years ago

What is the volume of this rectangular prism?

BaLLatris [955]

Answer:

Step-by-step explanation:

rectangular prism volume = Width * Height * Length

Width = 1.33

Height = .6

Length = 1.25

volume = 1

3 0

3 years ago

I need help with this slope

Alex73 [517]

Answer:

Step-by-step explanation:

First, the y-intercept is -3 so from -3 the slop to the next point is 4/1.

8 0

2 years ago