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3 years ago

You have 5 pairs of pants, 8 shirts, and 3 ties - how many different outfits can you make?

1 answer:

6 0

First they have to decide on a pair of pants and they have 8 different choices. For each of those choices they have a choice of 5 different shirts, so that gives them 8 times 5 = 40 different pant/shirt combinations. For each those 40 possibilities, they have 3 different ties they could select, so altogether they have 40 times 3 = 120 different outfits.

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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

how and explain how to find the value of x . step by step I will give the most correct one the brainiest

ad-work [718]

Answer:

X=96

Step-by-step explanation:

180-134=46

180-130=50

SUM OF TWO INTERIOR ANGLES = EXTERIOR ANGLE

50 + 46=96

4 0

3 years ago

If f(x) = 5x - 2, what is f(x - 1)? A. 5x - 2 B. 5x - 3 C. 5x + 1 D. 5x - 7

Agata [3.3K]

C 5x- i hope this helps you

6 0

4 years ago

Translate this phrase into an algebraic expression. The sum of 15 and twice Vidya's age Use the variable v to represent Vidya's

Galina-37 [17]

The way to write this would be:

2v+15

6 0

3 years ago

Read 2 more answers

The value in dollars v(x), of a certain truck after x years is represented by the equation v(x)= 32,500(0.92) raised to the x po

s2008m [1.1K]

The 32,500 is the original cost of the truck and the (0.92) You take v(x)=32,500(0.92)
and raise that to the 2nd power, to represent the 2nd year and you will get an answer of $27,300.
Each year the truck is losing $2,600 in value, after two years the truck has lost $5,200 in value equalling
= $27,300

8 0

3 years ago