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velikii [3]
3 years ago
9

Jamar and Peggy live on opposite sides of a park. Peggy counted how many steps it takes her to get from her house to Jamar's hou

se. She walks 52 steps west and 81 steps south. A. If she could just walk on a path directly from her house to Jamar's house, how many steps would it take? B. Approximately how many steps shorter would the direct route be?
Mathematics
1 answer:
creativ13 [48]3 years ago
7 0

Answer:

A.96.25 steps.  B. Approximately 37 steps shorter

Step-by-step explanation:

From Pythagoras theory,

Hyp² = Adj² + Opp²

Hyp² = 52² + 81²

Hyp² = 2704 + 6561

Hyp² = 9265

Hyp = √9265

Hyp = 96.25 steps

= 81 + 52 = 133 - 96.25

= 36.75 or approximately 37 steps shorter

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Find the distance between points M and N.<br>M= (3,-2)<br>N= (5,-6)​
MaRussiya [10]

Answer:

12

Step-by-step explanation:

The formula for distance between points is \sqrt{(x.2-x.1)^{2} +(y.2-y.1)^{2}

So when you inserts the coordinates in this formula, it would be \sqrt{(-2-3)^2+(-6-5)^2}

\sqrt{(-5)^2+(-11)^2}

\sqrt{25+121}

\sqrt{146}

=12.08305

Usually, distance is round to whole number. So, it would be 12

4 0
3 years ago
Which of the following is an advantage to using a table to help you solve a problem?
Tems11 [23]
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How do you determine if two triangles are similar?
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A rectangular room is 1.5 times as long as it is wide, and its perimeter is30 meters. find the dimension of the room.
Tpy6a [65]

Answer:

6 meters by 9 meters

Step-by-step explanation:

<u><em>Step 1: Formula for perimeter of rectangle</em></u>

Rectangle's perimeter = 2 (length) + 2 (width)

Rectangle's perimeter = 2 (length + width)

<u><em>Step 2: Find the length and width in terms of x</em></u>

Width = x

Length = 1.5 times width

Length = 1.5x

<u><em>Step 3: Find x</em></u>

Perimeter = 2(length + width)

30 = 2 (1.5x + x)

30/2 = 2.5x

15/2.5 = x

x = 6

<u><em>Step 4: Find the length and width</em></u>

Width = x = 6 meters

Length = 1.5x = 1.5(6) = 9 meters

Therefore, the dimensions of the room are 6 meters and 9 meters.

6 0
3 years ago
The weight of an apple is 150g, rounded to the nearest 5g. what is the lower bound and upper bound?
Aneli [31]

The lower bound is 147.5 and the upper bound is 152.5.

Given the weight of an apple 150 g rounded to the nearest 5g.

We have to find lower bound and upper bound.

Lower bound is an element less than or equal to all the elements in a given set.

Upper bound is an element greater than all the elements in a given set.

Lower bound= Number 1- (Number nearest to  which number 1 is rounded)/2

Upper bound=Number 1+(number nearest to which number 1 is rounded)/2

Weight of an apple =150 g

Lower bound=150-5/2

=150-2.5

=147.5

Upper bound=150+5/2

=150+2.5

=152.5

Hence the lower bound is 147.5 and upper bound is 152.5.

Learn more about lower and upper bounds at brainly.com/question/15408313

#SPJ4

4 0
2 years ago
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