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Ilya [14]
2 years ago
6

Josefina is inscribing a square in a circle with center c. She first uses a straight edge to draw a diameter of the circle throu

gh the center. Then, using a compass and straight edge, she constructs the perpendicular bisector of the diameter forming another diameter. Which of these steps is her next step?
A. Open the compass to a width equal to the diameter of the circle.
B. Use a straight edge to extend the diameters outside the circle.
C. Open the compass to the distance between consecutive points on the circumference of the circle.
D. Use a straight edge to connect the four points.
Mathematics
2 answers:
Jet001 [13]2 years ago
5 0

Answer:

Option: D is the correct answer.

D. Use a straight edge to connect the four points.

Step-by-step explanation:

The steps for the construction of a square inscribed in a circle is as follows:

  • Draw a circle with center c.
  • Now draw a diameter of a circle using a straightedge.
  • Next draw a perpendicular bisector of the diameter using compass and then using straightedge see the points on the circle where the perpendicular bisector meets.
  • Next use a straightedge to connect the  4 points to get the required  square.

        Hence, the answer is:

           Option: D

OverLord2011 [107]2 years ago
3 0

THE ACTUAL answer is to:


D. Use a straight edge to connect the four points where the circle intersects the diameters.


have no idea how the other dude got his answer but it is certainty not c

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image Alan, Benton, Claire, and Dita divided the cost of throwing a party as shown in the circle graph above. If Dita spent $ 12
sdas [7]

Let total amount spent =x

Dita spent 35 % of total amount.

35% of x = 0.35x

So amount spent by Dita = 0.35x

% of money spent by Benton = 20 % of x = 0.2x

We are given that Benton spent $12 more than Claire,

so making equation we have ,

Money spent by Dita = Money spent by Claire +12

0.35x =0.2x +12

0.35x -0.2x = 12

0.5x =12

x=80

So total amount spent was $80.

Money spent by Benton = 0.2x = 0.2 * 80= $16

So amount spent by Benton is $16.



5 0
2 years ago
In △ABC, m∠A=15 °, a=10 , and b=11 . Find c to the nearest tenth.
pshichka [43]

Answer:

The answer is:

\bold{c\approx 20.2\ units}

Step-by-step explanation:

Given:

In △ABC:

m∠A=15°

a=10 and

b=11

To find:

c = ?

Solution:

We can use cosine rule here to find the value of third side c.

Formula for cosine rule:

cos A = \dfrac{b^{2}+c^{2}-a^{2}}{2bc}

Where  

a is the side opposite to \angle A

b is the side opposite to \angle B

c is the side opposite to \angle C

Putting all the values.

cos 15^\circ = \dfrac{11^{2}+c^{2}-10^{2}}{2\times 11 \times c}\\\Rightarrow 0.96 = \dfrac{121+c^{2}-100}{22c}\\\Rightarrow 0.96 \times 22c= 121+c^{2}-100\\\Rightarrow 21.25 c= 21+c^{2}\\\Rightarrow c^{2}-21.25c+21=0\\\\\text{solving the quadratic equation:}\\\\c = \dfrac{21.25+\sqrt{21.25^2-4 \times 1 \times 21}}{2}\\c = \dfrac{21.25+\sqrt{367.56}}{2}\\c = \dfrac{21.25+19.17}{2}\\c \approx 20.2\ units

The answer is:

\bold{c\approx 20.2\ units}

4 0
2 years ago
Mr. Matthew is testing the online popularity of his custom made belts and wallets that were marketed differently. Some items wer
Tomtit [17]
See the attached figure
===========================
<span>After 3 days, the total number of belts sold will be the same as the total number of wallets sold. The number of belts and the number of wallets Mr. Matthew sold after this many days is 27.
</span>
======================================================
Explanation of the answer:
<span>The equation that represents the number of belts sold = 3^x ⇒⇒⇒ blue graph
</span>
<span>The equation that represents the number of wallets sold = 4x+15 ⇒⇒⇒ red graph
</span>
The point of intersection represents <span>the total number of belts sold will be the same as the total number of wallets sold.</span>

8 0
2 years ago
Read 2 more answers
Tamara and Clyde got different answers when dividing 2x4 + 7x3 – 18x2 + 11x – 2 by 2x2 – 3x + 1. Analyze their individual work.
lys-0071 [83]

<em>Note: As you may have unintentionally missed to add the different answers, based on which we had to check who solved correctly between Tamara and Clyda's work. </em>

<em>But, I am actually solving the expression and you must note that whoever (between Tamara and Clyda's work) may have got the same answer or match the answer with mine, would be the one who solved correctly.</em>

Answer:

We conclude that whoever (between Tamara and Clyda's work) may have got the answer as x^2+5x-2 after dividing   2x^4\:+\:7x^3\:-\:18x^2\:+\:11x\:-\:2 by 2x^2\:-\:3x\:+\:1  , would be the one who solved it correctly.

Step-by-step explanation:

Considering the expression

                            2x^4\:+\:7x^3\:-\:18x^2\:+\:11x\:-\:2

Lets divide the expression by 2x^2\:-\:3x\:+\:1

Solution Steps:

\frac{2x^4+7x^3-18x^2+11x-2}{2x^2-3x+1}

Factorizing

2x^4+7x^3-18x^2+11x-2:\quad \left(x-1\right)\left(2x-1\right)\left(x^2+5x-2\right)

\frac{\left(x-1\right)\left(2x-1\right)\left(x^2+5x-2\right)}{2x^2-3x+1}

Factorizing

2x^2-3x+1:\quad \left(2x-1\right)\left(x-1\right)

\frac{\left(x-1\right)\left(2x-1\right)\left(x^2+5x-2\right)}{\left(2x-1\right)\left(x-1\right)}

\mathrm{Cancel\:}\frac{\left(x-1\right)\left(2x-1\right)\left(x^2+5x-2\right)}{\left(2x-1\right)\left(x-1\right)}:\quad x^2+5x-2

x^2+5x-2

Thus,

\frac{2x^4+7x^3-18x^2+11x-2}{2x^2-3x+1}=x^2+5x-2

Therefore, we conclude that whoever (between Tamara and Clyda's work) may have got the answer as x^2+5x-2 after dividing   2x^4\:+\:7x^3\:-\:18x^2\:+\:11x\:-\:2 by 2x^2\:-\:3x\:+\:1  , would be the one who solved it correctly.

Keywords: expression, division

Learn more about expression division from brainly.com/question/1575482

#learnwithBrainly

3 0
1 year ago
Read 2 more answers
What is the coefficient of the following expression? 7c + 8
zloy xaker [14]

Answer:

3. 7

7 is the coefficient.

3 0
2 years ago
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