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ser-zykov [4K]
2 years ago
5

Natalie is completing construction of an equilateral triangle inscribed in a circle, as shown below. What should be the next ste

p in her construction?
B
O Construct a line perpendicular to the line AB to create four congruent quadrants.
O Construct six equal sections around the circle using the original radius as a guide.
O Construct another point C anywhere on the circle to be the third vertex of her triangle.
O Draw arcs above and below line AB to show where the triangle sides meet.
Z

Mathematics
1 answer:
mixas84 [53]2 years ago
3 0

The next step she should take is to draw arcs above and or below line AB to show where the triangles sides meet.

<h3>Steps in construction of an equilateral triangle</h3>

The steps involved in the construction of an a equilateral triangle are:

  • Place the compass point on A and measure the distance to point B
  • Swing an arc of this size above or below of the segment.
  • Do not change the span on the compass
  • Then place the compass point on B and swing the same arc, intersecting with the first arc
  • Label the point of intersection as the third vertex of the equilateral triangle.

Thus, the next step she should take is to draw arcs above and or below line AB to show where the triangles sides meet.

Learn more about construction of an equilateral triangle here:

brainly.com/question/11261696

#SPJ1

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Answer:

- 10/5 = -2

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-0.5 = Box next to -1.25

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Write the ratio in simplest form:<br> 36 to 78
Marysya12 [62]

Answer:

18 : 39

Step-by-step explanation:

36 to 78

Divide both sides by 2.

=> 18 : 39

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Ann needs to read 414 pages in 3 days. how many pages should she read each day?
siniylev [52]
414 divide by 3 =138
8 0
3 years ago
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Could someone please help me on one of these and explian to me too? plz show work
Serhud [2]

Answer:

3) rate of change = -5/4

4) rate of change = 3

5) rate of change = 1

6) steepest slope = #4

7) Please see the attached graph and explanation below

8) Please see the attached graph and explanation below

Step-by-step explanation:

<h3><u>Note:</u> </h3>

I will do questions 3, 4, 6, 7, and 8, and will let you work on question 5 (since it involves the same process of solving for the rate of change as questions 3 and 4).  However, the rate of change for question 5 is 1.  

<h3>3) Calculate the Rate of Change from the Graph: </h3>

The <u>rate of change</u> is essentially the same as the <em>slope</em> of a linear equation, where it represents the ratio of a change in y to a corresponding change in x.  

In order to solve for the rate of change, choose two points from the given graph.  

Let (x₁, y₁) = (0, 200)

     (x₂, y₂) = (80, 100)

Substitute these values into the following slope formula:

m = (y₂ - y₁)/(x₂ - x₁)

m = (100 - 200)/(80 - 0)

m = -100/80

Reduce to lowest terms by dividing the numerator and the denominator by 20/20:

m = -5/4  

Therefore, the rate of change is -5/4.  

<h3>4) Calculate the Rate of Change from the Table: </h3>

Similar to what we did in question 3, choose two ordered pairs from the given table:

Let (x₁, y₁)  = (0, -1)

     (x₂, y₂) = (3, 8)  

Substitute these values into the following slope formula:

m = (y₂ - y₁)/(x₂ - x₁)

m = \frac{8 - (-1)}{3 - 0}

m = \frac{8 + 1 }{3}

m = \frac{9}{3}

m = 3

Therefore, the rate of change from the given table is 3.

<h3>6) Which linear function has the steepest slope?    </h3>

The positive-sloped lines whose rate of change has the highest value will have the steepest slope.  For lines with negative slopes (downward-tilting lines), the highest absolute value for its rate of change will have the steepest negative slope.  

Hence, the linear function with the steepest slope is #4 because the value of y changes by 3 units for every unit of change in x values.    

<h3>7) Graph the equation: y = -6x - 4:</h3>

The linear equation, y = -6x - 4, where the slope, m = -6, and the y-intercept is (0, -4).  

  • To graph this equation, start by plotting the y-intercept.
  • Then, use the slope, m = -6/1 (down 6 units, run 1 unit to the right) to plot other points on the graph. In doing so, your next graph should occur at point, (1, -10). Connect the two points to create a line that will represent the given equation,  y = -6x - 4.

Technically, two points are sufficient enough to connect and create a line with. Please see the attached screenshot of the graph for y = -6x - 4.

<h3>8) Graph the following equation: 3x - 4y = 12</h3>

The given linear equation is in its <u>standard form</u>, Ax + By = C. It is easier to graph when the equation is in its <u>slope-intercept form,</u> y = mx + b.

In order to transform the given standard equation to slope-intercept form, start by subtracting 3x from both sides:  

3x - 4y = 12

3x -3x - 4y = -3x + 12

-4y = -3x + 12

Divide both sides by -4 to isolate y:

\frac{-4y}{-4}  = \frac{-3x + 12}{-4}

y = ¾x - 3  ⇒ This is the slope-intercept form where the slope, m = ¾, and the y-intercept is (0, -3).

<h3><u>Graph:</u></h3>

Similar to how we graphed the equation from question 7, start by plotting the y-intercept (0, -3) on the graph. Then, use the slope, m = ¾ (3 units up, 4 units run), to plot other points on the graph.  Your next point occurs at the <u>x-intercept</u>, (4, 0). The <em>x-intercept</em> is the point on the graph where it crosses the x-axis.  Connect the two points to create a line that will represent the given equation, 3x - 4y = 12.

Please see the attached screenshot of the graph for 3x - 4y = 12.  

8 0
3 years ago
Please help I need it done right now
Lina20 [59]

Use the way that kids use i.e trial and error method .

Solution:-

The set given by

\\ \rm\longmapsto \left\{32+n,\dfrac{n}{8},\sqrt{n+225}\right\}

Lets understand

  • See the first term any natural value will make it natural .

Come to 2nd one.

  • n should be a multiple of 8 to make it whole.

Come to third one

  • n should be a number which makes the sum a perfect square by which we get a natural no.We have to solve it w.r.t to 2nd one

Lets think

Nearest squares to 225 are 196 and 289

We can't take 196 as we have to take a positive one other wise it will come in terms of i.

Take 289

\\ \rm\longmapsto n+225=289

\\ \rm\longmapsto n=289-225=64

Its divisible by 8 .

Rewrite the set

\\ \rm\longmapsto \left\{64+32,\dfrac{64}{8},\sqrt{225+64}\right\}

\\ \rm\longmapsto \left\{96,8,\sqrt{289}\right\}

\\ \rm\longmapsto \left\{96,8,17\right\}

Hence n=64

8 0
3 years ago
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