My daughter is in 2nd grade and has a worksheet called Magic 26. It wants her to use the numbers 1 -12. Each row, column, and diagonal must equal 26. The four corners and four center numbers must equal 26 too. (example of puzzle below) Please help solve. THANKS!!!!!
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{____}xx{____}xx{____}xx{____}
{____}xx{____}xx{____}xx{____}
{____}xxxxxxxxxxxxxxxxxx{____}
From 1 to 12, we have six pairs with sum of 13. (1,12), (2, 11), (3, 10), (4, 9), (5, 8) and (6, 7). Sum of two pairs will be 26. Therefore, playing around with these pairs. Here is the answer:
1 9
5 10 2 7
8 3 11 6
12 4
Re-arrange number again
1 -------------- 9
5 -- 10 -- 2 -- 7
8 -- 3 -- 11 -- 6
12 ------------- 4
This is the third time you have posted this question since last night. If someone could help you, you'd have been helped already. Please stop posting the same question, over and over.
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The requirements you spell out do not enable the derivation of a normal magic square. Normal squares have 9, 16, 25, 36, etc. squares using the given digits once. For instance
8--1--6
3--5--7
4--9--2
all rows, columns and diagonals adding to 15 or
1--15--14--4
12--6--7--9
8--10--11--5
13--3--2--16
all rows, columns and diagonals adding to 25.
While your square appears to have only 12 digits, I think you would be hard pressed to have them arranged so that they sum to 26 when the normal magic square using 16 digits of 1 through 16 adds to only 25. If a digit can be used more than once, perhaps that opens the door to possibilities. It would appear that you have a guess and check game to play here.
i need help on home work
my paper has the numbers 8 16 12 9 7 13 14 13 i need to do the sum. what numbers do i use?
Mya is not
Pg 25
Re-arrange for correct answer:
1 -------------- 9
8 -- 10 -- 2 -- 6
5 -- 3 -- 11 -- 7
12 ------------- 4
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The distance from (−13, 2) to (2, 2) is ____.
The distance from (−13, 2) to (2, 2) is 15 units.
What is the length of the segment with endpoints (-3, 4) and (5, 4)?
Responses
A 6464
B 22
C 88
D 217−−√
2 17
E 16
The length of the segment with endpoints (-3, 4) and (5, 4) is 8 units.
We can use the distance formula to find the distance between the two points:
d = sqrt((x2 - x1)^2 + (y2 - y1)^2)
In this case,
- x1 = -3, y1 = 4 (coordinates of the first point)
- x2 = 5, y2 = 4 (coordinates of the second point)
Inserting these values in the formula gives:
d = sqrt((5 - (-3))^2 + (4 - 4)^2)
Simplifying this:
d = sqrt((8)^2 + (0)^2)
d = sqrt(8^2)
d = 8
So the answer is E) 16 (units).
Which of the graphs is the correct representation of x > -3?
Responses
A
B
C
D
The correct representation of `x > -3` is graph C.
Graph C shows all values of x that are greater than -3 on the number line. The open circle at -3 indicates that x is not equal to -3.
so whats the answer
The correct representation of `x > -3` is graph C.
Michael is mowing lawns to make money in the summer. His goal is to make more than $50 each week. Which graph represents the amount of money that Michael would like to make?
Without the given options for the graphs, it's difficult to provide a specific answer. However, I can tell you that the graph representing the amount of money that Michael would like to make would have a positive slope, indicating that as the number of lawns he mows increases, the amount of money he makes also increases. Additionally, the graph would be above the $50 line, since his goal is to make more than $50 each week.
Which quadrant is (-3, 7) in?
Responses
A I.I.
B II.II.
C III.III.
D IV.
The point (-3, 7) is in the second quadrant (II).
In the standard coordinate plane, the first quadrant is the upper right quadrant, the second quadrant is upper left, the third quadrant is lower left, and the fourth quadrant is lower right.
Since the x-coordinate is negative (-3) and the y-coordinate is positive (7), the point (-3, 7) falls in the second quadrant.
The inequality x < 7 is NOT solved by
The inequality x < 7 is NOT solved by option D) x > 6.
If we substitute x = 6.5 (which is greater than 6, but less than 7) into the inequality x < 7, we get:
6.5 < 7
Since this statement is true, x = 6.5 is a solution to the inequality x < 7.
Therefore, option D) x > 6 is not a solution to the given inequality.
The inequality x < 7 is NOT solved by
Responses
A 5
B 7
The inequality x < 7 is NOT solved by option B) 7.
If we substitute x = 7 into the inequality x < 7, we get:
7 < 7
Since this statement is false, x = 7 is not a solution to the inequality x < 7.
Therefore, option B) 7 is not a solution to the given inequality.
how to find the area of a trapezoid with a vertical left edge of a trapezoid is 8 inches and meets the bottom edge of the trapezoid at a right angle. The bottom edge is 4 inches and meets the vertical right edge at a right angle. The right edge is 11 inches. The top slanted edge measured 5 in
To find the area of a trapezoid, we use the formula:
Area = (1/2) * (sum of the bases) * (height)
In this case, the height of the trapezoid is 5 inches (given as the length of the top slanted edge).
To find the sum of the bases, we need to add the length of the bottom edge and the length of the top edge. Since the top edge is not parallel to the bottom edge, we need to use the vertical edges to help us find the length of the top edge.
First, we notice that the vertical left edge and the bottom edge form a right triangle, with the hypotenuse being the slanted edge. We can use the Pythagorean theorem to find the length of the slanted edge:
(8)^2 + (4)^2 = (slanted edge)^2
64 + 16 = (slanted edge)^2
80 = (slanted edge)^2
slanted edge = sqrt(80) = 4sqrt(5)
Since the right edge is perpendicular to the bottom edge and parallel to the left edge, we know that the top edge has the same length as the slanted edge.
So, the sum of the bases is:
sum of the bases = 4 + 4sqrt(5)
Now we can plug in all the values into the formula for the area:
Area = (1/2) * (4 + 4sqrt(5)) * 5
Area = (2 + 2sqrt(5)) * 5
Area = 10 + 10sqrt(5) square inches
So, the area of the given trapezoid is 10 + 10sqrt(5) square inches.
Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.
The top horizontal edge of the rectangle measures 17 centimeters, the left vertical edge of the rectangle measures 22 centimeters, and the bottom horizontal edge measures 17 centimeters. The left vertical leg is on the right edge of the rectangle, with v
Calculate the area of the composite figure, which is not drawn to scale.
To calculate the area of the composite figure, we need to break it down into its component parts.
First, we can see that the figure is made up of a rectangle and a right triangle.
The rectangle has a length of 22 cm and a width of 17 cm. Its area is:
Area of rectangle = length * width = 22 cm * 17 cm = 374 square cm
The right triangle has a base of 17 cm (which is also one side of the rectangle) and a height of 5 cm (which we can find using the vertical leg of the right triangle, which is also the right edge of the rectangle and has a length of 27 cm which is 22 (length of the rectangle) + 5). Its area is:
Area of right triangle = (1/2) * base * height = (1/2) * 17 cm * 5 cm = 42.5 square cm
Now, we can add the areas of the rectangle and the right triangle to find the total area of the composite figure:
Total area = Area of rectangle + Area of right triangle
Total area = 374 square cm + 42.5 square cm
Total area = 416.5 square cm
Therefore, the area of the composite figure is 416.5 square cm.