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Bezzdna [24]
3 years ago
8

A vehicle travels 57 kilometers north and then travels 26 kilometers south. What is the current position of the vehicle? (2 poin

ts) a 26 kilometers south of its starting location. b 83 kilometers from its starting location. c 31 kilometers north of its starting location. d 83 kilometers north of its starting location.
Mathematics
1 answer:
solniwko [45]3 years ago
5 0

Answer:

C. 31 kilometers north of its starting location

Step-by-step explanation:

<em>Please see attached a rough sketch of the situation for your reference</em>.

Step one:

Displacement North= 57km

Displacement South= 26km

Required

The  final displacement

The current position is attained by subtracting 26km from 57km

=57-26= 31km

Therefore the current position is

C. 31 kilometers north of its starting location

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FIND THE AREA OF THE FIGURE BELOW
Romashka [77]

Answer:

220 squared units

Step-by-step explanation:

first, find the area of the rectangle by multiplying 8 by 20. Then, fin the area of the triangle by multiplying 6 by 20 and then dividing the result by 2.

8*20=160

6*20=120

120/2=60

Finally, add them together and you get 220 units squared.

7 0
2 years ago
The length of the hypotenuse of a right triangle is 30 inches. The length of one leg is 27 inches. To the nearest tenth, what is
attashe74 [19]
Use Pythagorean Theorem
8 0
3 years ago
5-52: the first card selected from a standard 52-card deck is a king. a. if it is returned to the deck, what is the probability
Ksivusya [100]

Calculating the likelihood of experiments happening is one of the branches of mathematics known as probability.

The probability of getting a king card is 1/13 or 0.077.

<h3>What is meant by probability?</h3>

A probability is a numerical representation of the likelihood or chance that a specific event will take place. Both proportions ranging from 0 to 1 and percentages ranging from 0% to 100% can be used to describe probabilities.

Given: Total number of probability - 52

Now, the first selected card is king and it is returned to the deck.

So it contains no effect on the second selection card.

Then, we have to estimate probability to obtain a king

probability = favourable outcomes for a king / total possible outcomess

= 4 king cards / 52 cards in total

= 4 / 52 = 1 / 13

The probability of getting a king card is 1 / 13 or 0.077

Therefore, the correct answer is option B. 1/13, or 0.077.

The complete question is:

The first card selected from a standard 52-card deck was a king. It isreturned to the deck, what is the probability that a king will be drawn on the second selection?

A. 1/4 or 0.25

B. 1/13, or 0.077

C. 12/13, or 0.923

D. 1/3 or 0.33

E. None of the above​

To learn more about probability refer to:

brainly.com/question/13604758

#SPJ4

5 0
1 year ago
Can you guys. guy's. Help me pls
Mandarinka [93]

Answer:

J)  \frac{17}{24}

Step-by-step explanation:

\frac{3}{8} +\frac{1}{3} \\\\\frac{9}{24} +\frac{8}{24}  = \frac{17}{24}

Find the common denominator ^^

5 0
3 years ago
Read 2 more answers
How would you "remove the discontinuity" of f ? In other words, how would you define
balu736 [363]
There is a hole at x=4 because the top factors to (x-4)(x+3)
in the end we get

f(x)=(x-4)(x+3)/(x-4)
the (x-4) cancels out and we get
f(x)=x+3
so baiscally f(x) is y=x+3 but with a hole at (4,7)


one way is to make a piecewise function defined as(x^2-x-12)/(x-4) for all x≠4 and defined as 7 for x=4

or, to just do f(x)=x+3
5 0
3 years ago
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