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SVETLANKA909090 [29]

3 years ago

15

A music concert has 700 people attend it. Of the 700, 8% of the people arrived late and 12% of the people buy a t-shirt. How man

y people arrived late

1 answer:

Sergio039 [100]3 years ago

7 0

Answer:

56 people are late, 6 people that are late buy shirts, 644 people are on time

Step-by-step explanation:

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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

Whats 15 over 8 multiplied by 64 over 9?

Julli [10]

40/3. You mutiply top and bottom straight across, then simplify.

8 0

3 years ago

James invested $4,000 at 5% interest per year; how long will it take him to earn $200 in simple interest?

tester [92]

Answer:

It takes 1 year.

Step-by-step explanation:

You have to apply simple interest formula, I = (P×R×T)/100 where I represent interest amount, P is principle, R is interest rate and T is number of years :

$I = \frac{PRT}{100}$

$200 = \frac{4000 \times 5 \times T}{100}$

$20000 = 20000T$

$T = 1$

3 0

2 years ago

Read 2 more answers

A box measures 1/6 ft. long, 1/4 ft. wide, and 1/3 ft. high. Find the volume of the box in inches. Do not include units in your

Viefleur [7K]

Answer:

24

Step-by-step explanation:

We know that the final answer has to be in inches.

To convert ft = in, multiply given ft. by 12.

1/6 = 1/6 * 12 = 2

1/4 = 0.25 * 12 = 3

1/3 = 0.3 * 12 = 4

2*3*4 = 23 cubic in.

6 0

1 year ago

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This Venn diagram represents the science subjects studied by students. What is the probability that a student, chosen at random,

kow [346]

Answer:

i belive it is either 3 students or 8 cuz the numbers confued

me

3 0

3 years ago

Read 2 more answers