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Dvinal [7]
3 years ago
6

Lena is constructing a regular hexagon inscribed in a circle. She begins by drawing a line and labeling a point on the line as p

oint A. She uses her compass to construct a circle with point A as the center, labeling the points where the circle intersects the line as points B and C. Without changing the compass opening, she constructs a circle with point B as the center.
What step should be her next step?

Without changing the compass opening, construct a circle with point C as the center.

Draw a line through point A and either of the two points where the circles intersect.

Draw a line through the points where the two circles intersect.

Increasing the compass opening, construct a circle with point C as the center.
Mathematics
1 answer:
Dmitriy789 [7]3 years ago
4 0
Answer:
<span>Without changing the compass opening, construct a circle with point C as the center.

If you do this procedure you realize that you have found 6 points equally distributed over the original circumference. Of course they are at the same distance of the point A, which is the center of the first circle.

So, those 6 points equally distributed over the original circle define the hexagone.
</span>
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6:20=9:x=x:10=x:60=16:x=12:x
ivolga24 [154]

6:20=9:30=3:10=18:60=16:160/3=12:40

Step-by-step explanation:

The question requires you to find value of x in the ratios given;

Start with the first pair

6:20 = 9:x

6/20 =9/x

6x=20*9

6x=180

x=180/6=30 ⇒⇒ 6:20 = 9:30

The second pair after replacing the value of x=30 will be

9:30 = x:10

9/30=x/10

90=30x

90/30 =x

3=x⇒⇒ 9:30 = 3:10

The third pair after replacing value of x=3 will be

3:10 =x:60

3/10 =x/60

180=10x

180/10 =x

18=x ⇒⇒ 3:10 = 18:60

The fourth pair after replacing value of x=18 will be;

18:60 = 16:x

18/60 = 16/x

18x=16*60

x= (16*60)/18 =160/3

x= 160/3  ⇒⇒⇒ 18:60 = 16: 160/3

The firth pair after replacing value of x=160/3 will be;

16: 160/3 =12:x

16x= 160/3 *12

16x = 160 * 4

x= (160 *4 )/16

x=40

⇒⇒ 16: 160/3 = 12: 40

Learn More

Ratios and proportions :brainly.com/question/9512748

Keywords : ratio, value of x, proportion

#LearnwithBrainly

6 0
3 years ago
Round 339.4749 to the nearest hundredth
ivanzaharov [21]

The thousandth place is 4, which is less than 5 ⇒ Discard


339.4749 ≈ 339.47


Answer: 339.47

6 0
3 years ago
Read 2 more answers
A survey showed that 77% of us need correction (eyeglasses, contacts, surgery, etc.) for their eyesight. 13 adults are randomly
earnstyle [38]

Using the binomial distribution, it is found that the probability that at least 12 of the 13 adults require eyesight correction is of 0.163 = 16.3%. Since this probability is greater than 5%, it is found that 12 is not a significantly high number of adults requiring eyesight correction.

For each person, there are only two possible outcomes, either they need correction for their eyesight, or they do not. The probability of a person needing correction is independent of any other person, hence, the binomial distribution is used to solve this question.

<h3>What is the binomial distribution formula?</h3>

The formula is:

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

C_{n,x} = \frac{n!}{x!(n-x)!}

The parameters are:

  • x is the number of successes.
  • n is the number of trials.
  • p is the probability of a success on a single trial.

In this problem:

  • A survey showed that 77% of us need correction, hence p = 0.77.
  • 13 adults are randomly selected, hence n = 13.

The probability that at least 12 of them need correction for their eyesight is given by:

P(X \geq 12) = P(X = 12) + P(X = 13)

In which:

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 12) = C_{13,12}.(0.77)^{12}.(0.23)^{1} = 0.1299

P(X = 13) = C_{13,13}.(0.77)^{13}.(0.23)^{0} = 0.0334

Then:

P(X \geq 12) = P(X = 12) + P(X = 13) = 0.1299 + 0.0334 = 0.163

The probability that at least 12 of the 13 adults require eyesight correction is of 0.163 = 16.3%. Since this probability is greater than 5%, it is found that 12 is not a significantly high number of adults requiring eyesight correction.

More can be learned about the binomial distribution at brainly.com/question/24863377

7 0
2 years ago
Order of operations (41-3^2)-(4+4)
ladessa [460]

Order is operation is PEMDAS which means Parentheses, Exponents Mulitiplication,division,Addition and Subtraction so you follow the order whether they exist or not.

So (41-3^2)-(4+4)=

41-9-8 = 32-8 = 24

8 0
3 years ago
Find the distance between the points (-8,-11) and (14,-11).​
coldgirl [10]

Answer:

Distance =(x2−x1)2+(y2−y1)2−−−−−−−−−−−−−−−−−−√

Step-by-step explanation:

The answer is provided above.

Distance =(x2−x1)2+(y2−y1)2−−−−−−−−−−−−−−−−−−√

Hope this helps.

6 0
3 years ago
Read 2 more answers
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