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lara31 [8.8K]
3 years ago
15

The distance AB rounded to the nearest tenth = [ ? ]

Mathematics
1 answer:
docker41 [41]3 years ago
7 0

Answer:

4.5 units

Step-by-step explanation:

To get the distance we need the coordinates of the points

A is ( 3,1)

B is (-1,-1)

Let A be (x1,y1) and B be (x2,y2)

So applying the formula, we have the distance as;

D = √(-1-3)^2 + (-1-1)^2

D = √(16 + 4)

D = √20

D = 4.5 units

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The speed of a motorcycle increases from 10km/hr to 50km/hr in 9 seconds. What is its acceleration?
ivanzaharov [21]

Acceleration of motorcycle= 1.23m/s^2

Step-by-step explanation:

We need to find the acceleration of motorcycle When its speed increases from 10km/hr to 50km/hr in 9 seconds

Given:

Initial speed= 10km/hr

Final speed= 50km/hr

Time = 9 seconds

Acceleration = ?

Formula: Acceleration =\frac{Change\,\,in\,\,velocity}{time}

Solution:

We will first convert the speed from km/hr to m/s

Converting Initial speed 10km/hr into m/s

1 km = 1000 m

10 km = 10,000 m

and 1 hr = 3600 s

So, Initial speed = 10,000/3600 = 2.77 m/s

Converting Final speed 50km/hr into m/s

1 km = 1000 m

50 km = 50,000 m

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So, Initial speed = 50,000/3600 = 13.88 m/s

Now Using formula of acceleration:

Acceleration =\frac{Change\,\,in\,\,velocity}{time}\\Change\,\,in\,\,velocity =Final\,\,speed-Initial\,\,speed\\Change\,\,in\,\,velocity=13.88 - 2.77\\Change\,\,in\,\,velocity = 11.11 m/s\\Acceleration =\frac{11.11}{9}\\Acceleration =1.23 m/s^2

So, Acceleration of motorcycle = 1.23m/s^2

Keywords: Acceleration, Change in speed

Learn more about Acceleration at:

  • brainly.com/question/5424148
  • brainly.com/question/1386181
  • brainly.com/question/1597065

#learnwithBrainly

6 0
3 years ago
Abby scored 87, 86, 93, and 89 on her first four history quizzes. What score does Abby need to get on her fifth quiz to have an
Delicious77 [7]

Answer:

(C) 100

Step-by-step explanation:

The average of a data set is just all the numbers added up divided by the amount of numbers.

If we already have 4 pieces of data and we're looking for one more, we have 5 data pieces.

This means that the sum of all of the numbers in the data set will be 91\cdot5=455 if the mean is 91.

We can find the missing value by adding up what we know and subtracting from 455.

87+86+93+89=355\\\\455-355=100

So Abby needs a 100% on her fifth history quiz to have an average of 91 on all her quizzes.

Hope this helped!

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Answer:

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Step-by-step explanation:

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