Alexis's comparison of fractions does not suffice to determine which shape's fractional area is greater without knowing the total areas of the trapezoid and hexagon. The areas of shapes are calculated differently and must be considered before applying fractional parts to compare.
Alexis's statement does not necessarily make sense because the comparison she is making is only between the fractions
1/3 and 1/6, not the actual areas of the shapes. The area of a fraction of a shape depends on the total area of that shape. Therefore, without knowing the specific areas of the trapezoid and hexagon, we cannot conclude that
1/3 of the trapezoid has a greater area than 1/6 of the hexagon simply because 1/3 is greater than 1/6. To correctly compare the areas, one would need to know the total area of both shapes before fractions are applied.
Furthermore, when discussing the properties of shapes and areas, it is important to remember that the area of a trapezoid is calculated differently from the area of a hexagon. The area of a trapezoid is the average of the two bases multiplied by the height, whereas the area of a regular hexagon can be found by dividing it into equilateral triangles and calculating the area of those. Thus, the total area of each shape before fractions are considered plays a crucial role in determining if Alexis's statement is true or false.
An equation is shown below: 9(3x-2)=1
Which of the following correctly shows the first two steps to solve this equation?
B the second one. It shows all the steps correctly
Find the value of x. If your answer is not an integer express it in simplest radical form.
Answer:
4to5 and 3to7
Step-by-step explanation:
:)hope this helped
help please someone this is really important
Which of the following equations is the equation of the circle with the diameter AB and points A (0,0) and B (8,6) ?
write
(6b)^2 without exponents
A jar contains 5 blue marbles, 7 yellow marbles, and 8 green marbles. What is the probability of randomly choosing a blue marble, not replacing it, and then choosing a green marble?
The probability of randomly choosing a blue marble, not replacing it, and then choosing a green marble is,
⇒ 2 / 19
What is mean by Probability?The term probability refers to the likelihood of an event occurring. Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.
Given that;
A jar contains 5 blue marbles, 7 yellow marbles, and 8 green marbles.
Hence, Number of marbles = 5 + 7 + 8 = 20
Thus, the probability of randomly choosing a blue marble is,
⇒ 5 / 20
⇒ 1 / 4
And, the probability of randomly choosing a green marble is,
⇒ 8 / 19
Thus, the probability of randomly choosing a blue marble, not replacing it, and then choosing a green marble is,
⇒ 1/4 × 8/19
⇒ 2 / 19
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Which of these four sets of side lengths will form a right triangle?
Set 1
4 cm, 5 cm, 6 cm
Set 2
8 in., 12 in., 20 in.
Set 3
10 mm, 20 mm, 30 mm
Set 4
12 ft, 16 ft, 20 ft
Set of sides that will make right triangle is
Set 4 : 12 ft, 16 ft, 20 ft
What is Pythagoras theorem?Pythagoras theorem states that in a right angled triangle square of the hypotenuse is equal to the sum of the square of perpendicular and square of base. The longest side is the hypotenuse.
Given measurements
Set 1:
4cm , 5cm , 6cm
By Pythagoras theorem
4² + 5² = 6²
16 + 25 = 36
41 ≠ 36
Pythagoras theorem is not satisfied,
this set of sides will not make right triangle
Set 2
8 in., 12 in., 20 in.
By Pythagoras theorem
8² + 12² = 20²
64 + 144 = 400
208 ≠ 400
Pythagoras theorem is not satisfied,
this set of sides will not make right triangle
Set 3
10 mm, 20 mm, 30 mm
By Pythagoras theorem
10² + 20² = 30²
100 + 400 = 900
500 ≠ 900
Pythagoras theorem is not satisfied
this set of sides will not make right triangle
Set 4
12 ft, 16 ft, 20 ft
By Pythagoras theorem
12² + 16² = 20²
144 + 256 = 400
400 = 400
Pythagoras theorem is satisfied
this set of sides will make right triangle.
Hence, Set 4 of sides 12 ft, 16 ft, 20 ft will form a right triangle.
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A candy store sells walnuts for $8 per pound, and pecans for $2 per pound. If the store wants to create a bag of mixed nuts that sells for $6 per pound, how many pounds of pecans must be mixed with two pounds of walnuts?
which of the following are examples of exponential decay? select all that apply.
a) the population of Florida is increasing by 43% each year
b) the pesticide DDT has a half-life of 15 years
c)march madness has 64 teams in the bracket. each round, half of the teams are eliminated
d)after an antibiotic is added to a culture of bacteria, the number of bacteria is reduced by half every three hours
e) a tree frog population doubles every three weeks
Courtney had $55 to spend at the fair. She paid $22.50 for rides and $14.25 for lunch and snacks. Courtney says she has $18.25 left to play games at the fair. Which explanation explains whether Courtney is correct or not? A. Courtney is not correct. Estimation: 22.50 – 14.25 is about 8. $55 – $8 = $47 There was about $47 left for Courtney to spend on games. B. Courtney is correct. Estimation: 22.50 + 14.25 is about 37. $55 – $37 = $18 There was about $18 left for Courtney to spend on games. C. Courtney is not correct. Estimation: 22.50 + 14.25 is about 37. $55 + $37 = $92 There was about $92 left for Courtney to spend on games. Question Resources
solve the inequality 1/2 y +6<0
what is the mean of 54,48,52,56,55
7.Mrs. Deaton’s 6th grade class is creating a mural for the school entryway. Each student is creating a square with a side length of 10 inches that will be joined together to form this mural. The mural itself will be in the shape of a square with five of the student’s squares along each side. What is the total area of the mural?
Final answer:
To determine the total area of the mural, we calculate the area of one student's square, which is 100 square inches, and multiply by the total number of squares in the mural, resulting in 2500 square inches for the total area.
Explanation:
Mrs. Deaton's 6th grade class is working on a mural where each student contributes a square with a side length of 10 inches. The mural will be arranged in a larger square with five student squares along each side. To determine the total area of the mural, we will calculate the area of one student's square and then multiply by the total number of squares.
First, the area of one student's square is found by squaring the side length:
Area of one square = side length × side length = 10 inches × 10 inches = 100 square inches.
Since the mural is a square consisting of 5 student squares on each side:
Total number of student squares = 5 × 5 = 25 squares.
Finally, to find the total area of the mural, we multiply the area of one square by the total number of squares:
Total area of mural = area of one square × total number of squares = 100 square inches × 25 = 2500 square inches.
The total area of the mural is 2500 square inches.
Use geometry words to describe a way to separate triangles into other triangles?
Let us suppose we have a triangle ABC as shown in the attached image.
Now, let us we draw a perpendicular line from the vertex A to the base BC. Let the line meets the base BC at D.
Then, this perpendicular line AD will separate the triangle ABC into two right angle triangle ADB and triangle ADC.
What is the volume of the box if it is scaled down by a factor of $1/10$?
The volume of the box if it is scaled down by a factor of 1/10 is 27 cubic inches.
What is the volume?Volume is the measure of the capacity that an object holds.
Formula to find the volume of the object is Volume = Area of a base × Height.
Given that, Length: 9 in, Width: 3 in and Height: 10 in
We know that, the volume of a cuboid is Length×Width×Height
Here, the volume of a box = 9×3×10
= 270 cubic inches
It is scaled down by a factor of 1/10
Now, 1/10 ×270
= 27 cubic inches
Therefore, the volume of the box if it is scaled down by a factor of 1/10 is 27 cubic inches.
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"Your question is incomplete, probably the complete question/missing part is:"
What is the volume of the box if it is scaled down by a factor of 1/10? Length: 9 in, Width: 3 in and Height: 10 in
a point locates at (-3 7) undergoes two transformations. its images is located at (3 -7). what were the transformations?
Zöe schedules advertising for a radio station. She must fill 12 minutes each hour with 30 second ads and 60 second ads. Zöe sold twice as many 60 second ads as she did 30 second ads. She defines x as the number of 30 second ads and y as the number of 60 second ads that she sold. Zöe writes the system and . Which statement identifies Zöe’s error and the correction that is needed? Zöe used seconds to measure time for each ad, but she used minutes for the total. She should have used . Zöe set up an equation that would translate to “twice the number of 30 second ads = the number of 60 second ads.” She should have used . Zöe compared the number of 30 second ads to the number of 60 second ads without including the total number of ads. She should have used . Zöe did not include the whole hour in the total time. She should have used .
Zöe's error is in mixing units of seconds and minutes in her measurements. Her total time of 12 minutes should be converted into seconds (720 seconds) to match the 30 and 60 second ad times. The correct equations for her problem are x + 2y = 720 and y = 2x.
Explanation:The given question relates to system of linear equations and misunderstandings in time measurements. The discrepancy in Zöe's equations relates to the units she used for the ad times and the total time. She was dealing with 30 second and 60 second ads (measuring them in seconds), but she attempted to balance this against a total time of 12 minutes (measured in minutes).
The correct approach would be to ensure that all the times are using the same units. Since there are 60 seconds in a minute, Zöe's total time should be expressed as 720 seconds. Additionally, she sold twice as many 60 second ads as 30 second ads. Therefore, her equations should be: x + 2y = 720 and y = 2x.
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The question relates to formulating equations based on given constraints. Zöe's error is in not taking into account that the sum of the times for the 30 and 60-second ads should be 12 minutes. Moreover, the relation between the quantities of the 30 and 60-second ads should be such that the latter is double the former.
Explanation:The question presents a situation where Zöe has to schedule ads for a radio station with a fixed time frame. The constraints are that she has 12 minutes every hour to fill with either 30 second ads or 60 second ads, and that she sold twice as many 60 second ads as she did 30 second ads. Here, x represents the number of 30 second ads and y represents the number of 60 second ads.
Given these criteria, Zöe should set up two equations. The first equation will express the total time consumed by ads: (0.5x + y) minutes = 12 minutes. The second equation represents the relationship of the number of ads: y = 2x.
The error in the way the problem is stated seems to revolve around Zöe's representation of the constraints. She should consider the fact that the total time occupied by the 30 and 60-second ads must equal 12 minutes. Furthermore, the relationship between the number of 30 and 60-second ads should be factored into the equations, with the 60-second ads being twice the number of 30-second ads.
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What quadrilateral has exactly one pair of parallel sided?
Mary collects dolls. She has 4 dolls more then her friend Penney. Mary says if she tripled the number of dolls she has, she would have 27 dolls. How many dolls does Penney have?
I do not understand how to do this
Please help me on number 8 and explain ?
Solve the system of linear equations by substitution check your solution show work
Y-x=23
Y=3x+11
A) 3 ,20
B)6,29
C)24,47
D)4,27
2 x-y=30
2.5 +y=5
A)8,-22
B) 122.5, 92.5
C) 10 , -20
D)11, -22.5
Given the function h(x) = 3(5)x, Section A is from x = 0 to x = 1 and Section B is from x = 2 to x = 3.
Part A: Find the average rate of change of each section. (4 points)
Part B: How many times greater is the average rate of change of Section B than Section A? Explain why one rate of change is greater than the other. (6 points)
i really just need an answer for B mostly
Part A: The average rate of change of section A is 12 and that of B is 300.
Part B: The average rate of change of Section B is 25 times greater than that of Section A due to the exponential nature of the function h(x).
Explaining the average rate of change for two sections and comparing their values in an exponential function context,
Part A:One rate of change is greater than the other because of the exponential growth nature of the function. The function h(x) = 3 [tex](5)^x[/tex] is an exponential function, and the rate of change increases rapidly as x increases, leading to a much greater average rate of change for Section B than Section A.
The question is:
Given the function h(x) = 3 [tex](5)^x[/tex], Section A is from x = 0 to x = 1 and Section B is from x = 2 to x = 3.
Part A: Find the average rate of change of each section.
Part B: How many times greater is the average rate of change of Section B than Section A? Explain why one rate of change is greater than the other.
Can someone please put this in numerical order? Will give 15 points to who does!!!!!!
85 points 91 points 76 points 80 points 83 points
89 points 94 points 75 points 84 points 94 points
Find the perimeter of right triangle WXY if the radius of the circle is 4 units and WY = 20 units.
The perimeter of the right triangle WXY is 60 units.
Explanation:To find the perimeter of a right triangle WXY, we need to know the lengths of the two legs. Given that the radius of the circle is 4 units and WY is 20 units, we can determine that the hypotenuse, XY, is equal to 20 units. So the perimeter of the triangle is the sum of the lengths of its three sides: 20 + 20 + 20 = 60 units.
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We calculate the perimeter of the right triangle by first finding the lengths of the legs using the Pythagorean theorem and the given radius, then summing these lengths with the hypotenuse.
Explanation:The subject of this question is Geometry, specifically involving the calculation of the perimeter of a right triangle. In a right triangle, the lengths of the three sides follow the Pythagorean theorem, written as [tex]a^2 + b^2 = c^2[/tex], where c is the hypotenuse and a and b are the lengths of the other two sides.
Here, the length of the hypotenuse WY is given as 20 units. In a right-angled triangle, where a circle is inscribed, the radius of the circle is equal to half the sum of the two legs of the triangle (radius = (a+b)/2). In this case, the radius is given as 4 units. Thus, the total of the two legs a and b is 8 units.
The Pythagorean theorem can now be used to solve for a and b, knowing that [tex]a^2 + b^2 = 20^2[/tex] and a + b = 8; then to find the perimeter, sum the hypotenuse and the lengths of the legs, i.e. Perimeter = a + b + c.
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If 2 inches = 25 miles how many inches are 60 miles
Which of the following can be used to prove that triangle EFG is also a right triangle?
Prove that the sum of a and c is greater than b.
Prove that the sum of a and b is greater than c.
Prove that the ratio of EF and KL is greater than 1 and hence, the triangles are similar by AA postulate.
Prove that KL is equal to c by Pythagorean Theorem.
Answer:
Prove that KL is equal to c by Pythagorean Theorem.
Step-by-step explanation:
In the two triangles triangle KLM is a right triangle with sides a and b as the two legs of the right triangle .We can apply Pythagorean Theorem to find KL.
In triangle KGF two sides are a and b .If we prove KL=EF then Pythagorean Theorem will be true for triangle KGF and hence we can prove triangle KGF to be a right triangle.
The correct option to prove triangle KGF to be a right triangle is to Prove that KL is equal to c by Pythagorean Theorem.
what ia the length of the hypotenuse triangle below?
Answer: 18 - apex
Step-by-step explanation:
Please help asap will give brainliest!!!
The polygons above are similar. Write a similarity statement and solve for x. The images are not drawn to scale.