What are the steps for using a compass and straightedge to construct a regular hexagon inscribed in a circle?
Drag the steps and drop them in order from start to finish.
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Construct and JM⎯⎯⎯⎯⎯, MO⎯⎯⎯⎯⎯⎯⎯, OK⎯⎯⎯⎯⎯⎯⎯, KP⎯⎯⎯⎯⎯, PN⎯⎯⎯⎯⎯⎯, and NJ⎯⎯⎯⎯⎯ to complete regular hexagon JMOKPN .
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Construct a circle with its center at point H.
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Construct a circle with its center at point J and having radius HJ . Construct a circle with its center at point K having radius HJ .
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Construct horizontal line l and point H on line l.
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Label the point of intersection of circles H and J that lies above line l, point M, and the point of their intersection that lies below line l, point N. Label the point of intersection of circles H and K that lies above line l, point O, and the point of their intersection that lies below line l, point P.
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Label the point of intersection of the circle and line l to the left of point H, point J, and label the point of intersection of the circle and line l to the right of point H, point K.
a golfer needs to hit a ball a distance of 500 feet, but there is a 60-foot tall tree that is 100 feet in front of the point where the shot needs to land. given that the maximum height of the shot is 120 feet, and that the intended distance of 500 feet is reached, by how much did the ball clear the tree?
We can create a parabola equation of the trajectory using the vertex form:
y = a (x – h)^2 + k
The center is at h and k, where h and k are the points at the maximum height so:
h = 250
k = 120
Therefore:
y = a (x – 250)^2 + 120
At the initial point, x = 0, y = 0, so we can solve for a:
0 = a (0 – 250)^2 + 120
0 = a (62,500) + 120
a = -0.00192
So the whole equation is:
y = -0.00192 (x – 250)^2 + 120
So find for y when the golf ball is above the tree, x = 400:
y = -0.00192 (400 - 250)^2 + 120
y = 76.8 ft
So the ball cleared the tree by:
76.8 ft – 60 ft = 16.8 ft
Answer:
16.8 ft
Please help with all 3 questions thank you.
Barry walked a total of 3 miles to larry's house. if he walked for 45 minutes to get there, how fast was he traveling (r) in miles per hour?
50 points!! help with justification of these steps please
Caitlyn needs to solve the equation: 2(3x+1)=3(2-x). She solves for x in 5 steps:
6x+2 = 6 - 3x
2 = 6 - 9x
-4 = -9x
4/9 = x
x = 4/9
What is the justification for each of the steps that Caitlyn took? Give the Algebraic Property for each step.
Answer:
combining like terms
Step-by-step explanation:
the equation y= -5.131x^2 +31.821x -3.333 approximates the number of people standing in line to catch a commuter train x hours after 5 a.m.
What is the best estimate for the number of people in line at 8 a.m?
A. 77
B. 46
C. 40
D. 32
Answer:
The answer is 42!!! I just took test.
Step-by-step explanation:
answer is center of rotation
If you purchase 100 items that cost $.25 each, how much would the items cost all together?
How would I graph and solve this inequality?? Help please! Press question to view image.
an online movie streaming plan has no annual fee but charges $4.25 per movie watched. Another plan charges an annual fee of $36 plus $3.50 per movie watched. For how many movies is the cost of the plans the same?
Jamie's parents have told him that he needs to pay his credit card bills on time to establish good credit. How will good credit help him in the future?
Simply C Because well Nowadays You Have To Have Credit For Everything And Its Crazy When Your A Teenager Living On Your Own Without Any Credit. I Had To Buy Things For Around The House And Eventually Bought A $5,000 Bed Set
translate the following points 5 units up (-5,-2) (-2,1) (-4,-7)
The school bookstore sold 8 more pencils than pens one day. A pencil costs $0.05 and a pen costs $0.20. If the day's sales of pens and pencils totaled $8.90, how many pencils were sold?
To solve this problem, we use algebraic equations to represent the situation. By setting up an equation for the total sales and solving for the number of pens, we can then calculate the number of pencils sold based on the given information. In this case, 34 pens and 42 pencils were sold.
Explanation:Let's solve this problem using algebra. Let the number of pens sold be x. According to the problem, the number of pencils sold is x + 8. Now we can set up an equation to represent the total sales:
0.20x + 0.05(x + 8) = 8.90
Simplifying the equation, we get:
0.20x + 0.05x + 0.40 = 8.90
Combining like terms,
0.25x + 0.40 = 8.90
Next, we can subtract 0.40 from both sides of the equation to isolate x:
0.25x = 8.90 - 0.40
Subtracting, we find that
0.25x = 8.50
Finally, we can divide both sides of the equation by 0.25 to solve for x:
x = 8.50 / 0.25
Calculating, we find that x = 34. This means that 34 pens were sold. Since 34 pens were sold and there were 8 more pencils sold than pens, there must have been 34 + 8 = 42 pencils sold.
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Please help!!
Find the standard form of the equation of the parabola with a focus at (0, -3) and a directrix at y = 3.
Final answer:
The standard form of the equation of the parabola with a focus at (0, -3) and a directrix at y = 3 is x² = -12y.
Explanation:
To find the standard form of the equation of a parabola with a given focus and directrix, we use the definition of a parabola: the locus of points equidistant from the focus and the directrix. Since the focus is at (0, -3) and the directrix is y = 3, the vertex is halfway between the focus and directrix, at (0, 0). The distance from the vertex to the focus (and to the directrix) is 3 units. The standard form of the parabola opening downwards is
(x - h)² = -4p(y - k)
where (h, k) is the vertex and p is the distance from the vertex to the focus, when the parabola opens upwards or downwards.
Substituting the values for the vertex and p, we get
(x - 0)² = -4(3)(y - 0)
which simplifies to
x² = -12y
This is the standard form of the parabola with the given focus and directrix.
How to find out how likely it is to get 13% chance at something 13 times?
Rounded to the nearest 3 decimal places, what is the value of r for this data set?
There are thirteen animals in a barn. Some are chickens and some are pigs there are 40 legs in all. How many of each animal are there
Solve the system by elimination.
-2x + 2y + 3z = 0
-2x - y + z = -3
2x + 3y + 3z = 5
Please go step by step, thanks!
Charles has read 180 pages of book. This isn’t 3/4 of the total number of pages in the book. If p represents the number of pages in the book, what is p?
a.135
b.240
c.320
d. 420
If you buy an IPod for $339, how much sales tax would you pay if the tax rate is 8.375%?
BRAINLIEST!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
1. The tables below show the values of y corresponding to different values of x:
Table A
x 3 2 1
y 1 0 0
Table B
x 3 5 4
y −2 1 1
Which statement is true for the tables?
Both Table A and Table B represent functions.
Both Table A and Table B do not represent functions.
Table A does not represent a function, but Table B represents a function.
Table A represents a function, but Table B does not represent a function.
2. Which of the following statements best describes the effect of replacing the graph of f(x) with the graph of f(x) + 4?
The graph shifts 4 units up.
The graph shifts 4 units down.
The graph shifts 4 units left.
The graph shifts 4 units right.
Both Table A and Table B in the question represent functions, as each x value corresponds to exactly one y value in both tables. The operation of replacing the graph of f(x) with f(x) + 4 results in a vertical shift of the graph 4 units upward.
The subject of the question involves interpreting the data sets presented in Table A and Table B and understanding the behavior of functions. According to the definition, a function is a mathematical relationship wherein each input (x) corresponds to exactly one output (y).
Now, let's determine which tables represent functions. Table A: each 'x' corresponds to exactly one 'y', so this represents a function.
For Table B, each 'x' also corresponds to exactly one 'y', so this also represents a function.
This means both Table A and Table B represent functions.
As for the second question, the operation of replacing the graph of f(x) with f(x) + 4 will result in the graph shifting 4 units upward. The vertical shift is a result of adding 4 to the entire function f(x).
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How many pairs of triangles appear congruent? The triangles may overlap
Answer:
4. If i know the picture you're talking about it would be 4.
Step-by-step explanation:
5 hundred 25 thousand six hundred minutes
MATH HELP
WILL AWARD BRAINILEST
Graham uses a 10 by 10 grid to model a decreasing pattern. He cuts off a section representing a percent of the current area so that the remaining area represents the next term in the pattern, rounded to nearest whole centimeter. The area after each cut is shown on the graph. After each cut, the remaining area is % of the previous area.
I think its 25% but idk
How to solve x^2+bx+c=0 when b and c are negative by factoring?
I NEED HELP NOW!!!!
Malik collects rare stamps and has a total of 212 stamps. He has 34 more domestic stamps than foreign stamps. Let x represent the number of domestic stamps and let y represent the number of foreign stamps.
This system of equations models the given information for both stamp types.
x – y = 34
x + y = 212
Solve the system of equations.
How many foreign stamps does Malik have?
____foreign stamps
How many domestic stamps does Malik have?
____domestic stamps
After solving the system of linear equations, Malik has 123 domestic stamps and 89 foreign stamps.
Let x represent the number of domestic stamps.Let y represent the number of foreign stamps.Given the following system of equations:
[tex]x - y = 34\\\\x + y = 212[/tex]
To solve the system of linear equations, we would use the elimination method:
Adding the two equations together, we have:
[tex]2x = 246[/tex]
Dividing both sides by 2, we have:
[tex]x = \frac{246}{2}[/tex]
x = 123 domestic stamps
To find the value of y:
[tex]x + y = 212\\\\y = 212 - x\\\\y = 212 - 123[/tex]
y = 89 foreign stamps
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Pedro works as a newspaper deliverer. He receives a base pay plus an additional amount per newspaper delivered. Last week, Pedro delivered 5 newspapers and earned $37.50. This week, he delivered 20 newspapers and earned $75. Let x equal the number of newspapers Pedro delivers and y be the earnings he receives in dollars. Which linear function models the scenario? g(x) = 0.4x + 35.5 g(x) = 0.4x + 67 g(x) = 2.5x + 25 g(x) = 2.5x + 50
The linear function models the scenario is g(x) = 2.5x + 25 if He receives a base pay plus an additional amount per newspaper delivered option (C) is correct.
What is a function?It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
It is given that:
Pedro works as a newspaper deliverer. He receives a base pay plus an additional amount per newspaper delivered.
x = the number of newspapers Pedro delivers
y = the earnings he receives in dollars.
From the data given the linear function can be framed as follows:
y = mx + b
Plug x = 5
y = 37.50
37.50 = 5m + b ...(I)
Plug x = 20, and y = 75
75 = 20m + b ...(II)
After solving equation (I) and equation (II):
m = 2.5
b = 25
y = 2.5x + 25
Replace y with g(x)
g(x) = 2.5x + 25
Thus, the linear function models the scenario is g(x) = 2.5x + 25 if He receives a base pay plus an additional amount per newspaper delivered option (C) is correct.
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In March, Rodney sold twice as many cars as Greg. In April Rodney sold 5 fewer cars than he did in March while Greg sold 3 more cars than he did in March. If they same number of cars in April how many cars did each sell in March
Final answer:
Rodney sold 16 cars and Greg sold 8 cars in March.
Explanation:
Let's start by representing the number of cars sold by Rodney and Greg in March as variables. Let R represent the number of cars sold by Rodney and G represent the number of cars sold by Greg.
Given that Rodney sold twice as many cars as Greg in March, we have the equation R = 2G.
In April, Rodney sold 5 fewer cars than he did in March, so we have the equation R - 5.
Greg sold 3 more cars than he did in March, so we have the equation G + 3.
Lastly, we know that they sold the same number of cars in April, so we can set R - 5 = G + 3.
Now, we can solve the system of equations to find the values of R and G. Substituting R = 2G into the last equation, we get 2G - 5 = G + 3. Solving for G, we find G = 8. Substituting this value back into the equation R = 2G, we get R = 16.
Therefore, Rodney sold 16 cars and Greg sold 8 cars in March.
Rodney: 16 cars
Greg: 8 cars
jack purchases 12 gallons of gas on monday .he uses 2/3 of amount purchased communting to and from work during the week additional 2 gallons running errands. how many gallons of gas does john juse for work and errands
Question 7 the length of a shadow of a building is 29 m . the distance from the top of the building to the tip of the shadow is 38 m . find the height of the building. if necessary, round your answer to the nearest tenth.