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Gre4nikov [31]
2 years ago
13

Order the steps for bisecting line segment AB using a reflective device.

Mathematics
1 answer:
yulyashka [42]2 years ago
8 0

The question requires that segment AB is to be divided into two equal parts.

To do this, the order of steps for bisecting AB are D, E, B, C, A

To bisect segment AB implies dividing AB into two equal parts. After the construction, the length of each part must be equal.

Therefore, the required steps to bisect segment AB are as follow

<h3>What reflective device?</h3>

A MIRA is a commercial name given to a piece of colored transparent plastic used to reflect geometric objects.

D. Place the compass on point A, and open it wider than half the distance of the segment.

E. Swing an arc above and below the segment.

B. Keeping the compass the same width, place the compass on point B, and swing an arc above and below the segment.

C. Place points C and D on the intersection of the arcs created above and below segment AB.

A Draw a line from C point to point D.

Therefore the line CD is the perpendicular bisector of segment AB.

Thus, the order of steps for the bisection process is D, E, B, C, and A.

To learn more about perpendicular bisecting lines visit:

brainly.com/question/929137

#SPJ1

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In 2018, the population will grow over 700,000.The population of a city in 2010 was 450,000 and was growing at a rate of 5% per
Firlakuza [10]

Answer:

The year is 2020.

Step-by-step explanation:

Let the number of years passed since 2010 to reach population more than 7000000 be 'x'.

Given:

Initial population is, P_0=450,000

Growth rate is, r=5\%=0.05

Final population is, P=700,000

A population growth is an exponential growth and is modeled by the following function:

P=P_0(1+r)^x

Taking log on both sides, we get:

\log(P)=\log(P_0(1+r)^x)\\\log P=\log P_0+x\log (1+r)\\x\log (1+r)=\log P-\log P_0\\x\log(1+r)=\log(\frac{P}{P_0})\\x=\frac{\log(\frac{P}{P_0})}{\log(1+r)}

Plug in all the given values and solve for 'x'.

x=\frac{\log(\frac{700,000}{450,000})}{\log(1+0.05)}\\x=\frac{0.192}{0.021}=9.13\approx 10

So, for x > 9.13, the population is over 700,000. Therefore, from the tenth year after 2010, the population will be over 700,000.

Therefore, the tenth year after 2010 is 2020.

8 0
2 years ago
Ed wants to borrow $20,000 from a bank to open a small gym. Three banks charge different interest rates. To help decide the best
Delicious77 [7]

Answer:

First bank = $6792

City bank = $6803

Star bank = $6817  

Step-by-step explanation:

The lists of banks and their annual interests rates are attached.

For first bank, since the interest is 7.5%, The total interest = 7.5% of $20000 = 0.075 × $20000 = $1500

For city bank, since the interest is 8.2%, The total interest = 8.2% of $20000 = 0.082 × $20000 = $1640

For Star bank, since the interest is 9%, The total interest = 9% of $20000 = 0.09 × $20000 = $1800  

The loan plus interest for the banks annually are:

First bank = $20000 + $1500 = $21500

City bank = $20000 + $1640 = $21640

Star bank = $20000 + $1900 = $21900

The monthly payments for the banks are:

First bank = $21500 / 12 months = $1792

City bank = $21640 / 12 months = $1803

Star bank = $21800 / 12 months = $1817

Since The cost to run the gym each month is $5,000. Ed's total monthly expenses for each loan option = monthly payments + cost for each month. It is calculated as:

First bank = $5000 + $1792 = $6792

City bank = $5000 + $1803 = $6803

Star bank = $5000 + $1817 = $6817  

3 0
3 years ago
Kashif bought a bicycle for rs 10000 and sold it for rs 8000 his loss percentage is
aleksley [76]

Answer:

20%

Step-by-step explanation:

  • Loss=C.P-S.P
  • Loss=10000-8000
  • Loss=2000
  1. Loss%=loss/cp*100
  2. Loss%=2000/10000*100
  3. Loss%=20%
7 0
2 years ago
Joe buys a 4 1/2 pound bag of dog food every 4 weeks , joe feeds his song the same amount each day.What is the number of pounds
harkovskaia [24]
His dog eats about 58.66lbs of dog food each year
3 0
3 years ago
Help with steps <br>questions on image​
Sveta_85 [38]

Answer:

24

Step-by-step explanation:

all odd numbers possible: 1, 3, 5, 7

__ __ __ __

there are 4 possibilities for the first blank

for the second blank there are 4-1 = 3 possibilities as one of the numbers will have been used

for the third blank there are 4-2 = 2 possibilities as 2 of the numbers have been used

for the last blank there is only 1 possibility

so the number of solutions possible is 4 x 3 x 2 x 1 = 24

7 0
2 years ago
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