Therefore , the solution of the given problem of inequality comes out to be Gary and Jamal are the students who created an inequality that holds true for all values in the collection "0, 1, 3, 4, 6, 12".
An inequality is what?Algebra does not have an equal symbol, but a partner or group of integers can be used to represent the difference. Equilibrium is typically followed by equity. Inequality comes from the continued divergence of ideals. Disparity and expression fairness are not identical. Despite the fact that the parts are typically not connected or close to one another, that was our most popular symbol. (). Any difference, no matter how small, can be used to determine worth.
Here,
We can test each inequality with each value in the set, 0 through 1, 3, 4, 6, and 12, to identify which inequality holds true for all values.
6 > 0.5t, where t is a member of the collection, is Gary's inequality. When we compare each value in the collection to this inequality, we discover:
When t = 6: 6 > 0.5(6) is true
When t = 12: 6 > 0.5(12) is true
Therefore, for each value in the collection, Gary's inequality holds true.
30 - t 18 is Nancy's inequality, where t is a number from the collection. When we compare each value in the collection to this inequality, we discover:
When t = 6: 30 - 6 ≤ 18 is true
When t = 12: 30 - 12 ≤ 18 is true
Therefore, not all values in the collection satisfy Nancy's inequality.
Gary and Jamal are the students who created an inequality that holds true for all values in the collection "0, 1, 3, 4, 6, 12".
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In a basketball free-throw shooting contest shots made by Sam and Wil were in the ratio 7:9.Wil made 6 more shots than Sam. Find the number of shots made by each of them.
Answer:
Sam made 21 shots, and Wil made 27 shots.
what's a drawback to using a histogram?
Answer:
Step-by-step explanation:
One potential drawback of using a histogram is that it can be sensitive to the choice of bin width or bin size. If the bin size is too small, the histogram may appear too noisy or have too many empty bins, which can obscure patterns in the data. If the bin size is too large, important features of the distribution may be lost or smoothed out. Additionally, histograms do not always show the actual values of the data points, but rather a summary of the data. This means that some details about the data may be lost, such as the exact values of outliers or individual data points.
The graphs of line a and b are shown in this coordinate grid
Match each line with it's equation. Drag each equation to the corresponding box for each line
The correct option for the given graph is option 1 and option 3. The equation matches the intersection point (1,1).
For option 1: intersection point (1,1)
substitute the values of x & y in the given equation.
1 = 3 (1) - 2
1 = 1
LHS = RHS
For option 2: point (1,1)
substitute the values of x & y in the given equation.
1 = 2 (1) + 3
1 = 5
LHS ≠ RHS
For option 3: point (1,1)
substitute the values of x & y in the given equation.
1 = -2 (1) + 3
1 = 1
LHS = RHS
For option 4: point (1,1)
substitute the values of x & y in the given equation.
1 = - [tex]\frac{1}{2}[/tex] (1) + 3
1 = [tex]\frac{5}{2}[/tex]
LHS ≠ RHS
For option 5: point (1,1)
substitute the values of x & y in the given equation.
1 = - [tex]\frac{1}{3}[/tex] (1) + 3
1 = [tex]\frac{8}{9}[/tex]
LHS ≠ RHS
Therefore, correct option for the given graph is option 1 and option 3.
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Write the ratios for sin A and cos A. The diagram is not drawn to scale.
sin A= 14/50 cos A 48/50
sin A= 48/50 cos A 14/50
sin A 48/14 cos A 14/50
sin A= 48/50 cos A 14/48
The ratio of SINA and COSA = 48/50 and 14/50
What is trignometric ratios?This is the boundary or contour length of a 2D geometric shape.
Depending on their size, multiple shapes may have the same circumference. For example, imagine a triangle made up of wires of length L.
The same wire can be used to create a square if all sides are the same length.
The length covered by the perimeter of the shape is called the perimeter. Therefore, the units of circumference are the same as the units of length.
As we can say, the surroundings are one-dimensional. As a result, you can measure in meters, kilometers, millimeters, etc.
Inches, feet, yards, and miles are other globally recognized units of circumference measurement.
According to our question,
sina = perpendicular\ hypotenuse
= 48/50
cosa= base\ perpendicular
=
14/50
Hence, The ratio of SINA and COSA = 48/50 and 14/50
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Proportional or not proportional?
Step-by-step explanation:
A is not proportional
Use the graph to record the value of y axis when x is 1, 2, 3, 4, 5, 6
And record the values of x when y is 1, 2, 3, 4, 5, 6 till the end
Using the graph Value of y
(1, 0.9) (2,1.5) (3,2.2) (4,2.5) (5, 3) (6,4) (7, 5) (10,6)
Using the graph, find the value of x when y is 1 - 10)
1.2, 2.5, 5,.....
The slope of the graph also shows that it is not proportional
B is proportional
X is 0 and y is 0
When x is 5, y is 10
Ratio x: y = 5:10 = 1:2
When x is 10, y is 20
Ratio x:y is 10: 20 = 1:2 same as above
C is not proportional
When Moyra is 32, daughter is 8
When her daughter is 22, Moyra will also be 4years older, which is 36
32: 8 = 4:1
36: 12 =3:1
How can the area of this triangle be determined by forming a rectangle?
Select from the drop-down menus to correctly complete the statements.
The length of the rectangle is what units.
The width of the rectangle is what units.
The area of the rectangle is what square units.
The area of the triangle is half the area of the rectangle, so the area of the triangle is
what square units.
Answer:
the area ot the triangle is half the area of the rectangle, so the area of the triangle is what sqauare units
Answer: It's much easier to form a rectangle and multiply the width and the length and then divide it by 2
Each prism has the same volume. Which has the least surface area? Explain or show your
reasoning.
This means that the cube will have less surface area than the rectangular prism.
What is surface area?Surface area is a measure of the total exposed area of an object, or the total area of its two-dimensional surface. It is a measurement of the total exposed area of a three-dimensional object and is used to calculate the amount of material needed to cover a given area. Surface area is commonly used in physics, chemistry, engineering, and mathematics.
The prism with the least surface area of the same volume is the cube. This is because a cube has equal length, width, and height, allowing for all of the sides to be equal in size. This means that the area of each side is the same and all six sides of the cube are congruent. This creates the least amount of surface area for a given volume, as compared to any other prism. To illustrate this, take a cube and a rectangular prism with the same volume. The cube will have 6 smaller sides, while the rectangular prism will have 5 larger sides and 1 smaller side. This means that the cube will have less surface area than the rectangular prism.
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a square has side length of 7.3 in . if the area is multiplied by 19 , what happens to the perimeter?
The new perimeter is 127.2 inches if it is multiplied by 19.
What do you mean by the are and perimeter of the square ?
The area of a square is calculated by squaring the length of one of its sides. If the area of a square is multiplied by a factor, the length of the sides will be multiplied by the square root of that factor. One way to express the concept of perimeter for a square is to state that it is the total distance around the outer boundary of the shape, which is equal to the sum of the lengths of all four sides.
Determining the the value of perimeter :
The area of the square is [tex]7.3 \times 7.3 = 53.29[/tex] square inches.
If this area is multiplied by 19, the new area will be 1012.51 square inches.
To find the new side length of the square, we take the square root of the new area:
[tex]\sqrt{1012.51} = 31.8[/tex] (rounded to one decimal place)
Therefore, the new side length of the square is 31.8 inches.
To find the new perimeter, we multiply the new side length by 4:
[tex]31.8 \times 4 = 127.2[/tex]inches
So the new perimeter is 127.2 inches.
To summarize, when the area of the square with side length 7.3 inches is multiplied by 19, the perimeter is multiplied by the square root of 19, which is approximately 4.36. The new perimeter is 127.2 inches.
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ten chairs are arranged in a circle. find the number of subsets of this set of chairs that contain at least three adjacent chairs.
Ten chairs are arranged in a circle. The number of subsets of this set of chairs that contain at least three adjacent chairs is 310.
The given that 10 chairs arranged in a circle.
Now we have to find the number of subsets of this set of chairs that contain at least three adjacent chairs.
To solve this, we can use the concept of permutations and combinations. The first step is to consider the number of ways in which three chairs can be selected and arranged in a subset that is adjacent to each other.
This can be done in 10 different ways, as there are 10 chairs in total and we can select any one of them as the starting point.
The next step is to consider the number of ways in which we can add additional chairs to this subset. For example, we can add a fourth chair to the subset in two different ways: either to the left of the first chair or to the right of the third chair.
Similarly, we can add a fifth chair to the subset in four different ways, a sixth chair in six different ways, and so on. Using this logic, we can create the following table:
Length of subset number of ways to select the subset number of ways to add chairs
Total number of subsets31 (adjacent)
= 10 ---43 (adjacent) 10*2
=20---55 (adjacent)10*4
=40---67 (adjacent)10*6
=60---79 (adjacent)10*8
=80---810 (adjacent)10*10
=100---
As we can see from the table, the total number of subsets that contain at least three adjacent chairs is given by:
Total number of subsets = 10 + 20 + 40 + 60 + 80 + 100
= 310
Therefore, the number of subsets of this set of chairs that contain at least three adjacent chairs is 310.
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the empirical rule says that 95% of the population is within 2 standard deviations of the mean, but when i find the z-scores that mark off the middle 95% of the standard normal distribution i calculate -1.96 and 1.96. is this a contradiction? why or why not? in other words why are the normal distribution calculators not agreeing with the empirical rule?
The empirical rule states that approximately 95% of the population lies within 2 standard deviations of the mean for a normal distribution, but you found that the z-scores that mark off the middle 95% of the standard normal distribution are -1.96 and 1.96. This does not represent a contradiction, and I will explain why is it so ?
The empirical rule, also known as the 68-95-99.7 rule, is a useful guideline to help us understand the proportions of data in a normal distribution. According to this rule, about 68% of the data falls within 1 standard deviation, 95% within 2 standard deviations, and 99.7% within 3 standard deviations. However, it is essential to note that the empirical rule is a simplified approximation.
On the other hand, the z-scores that you calculated, -1.96 and 1.96, are more precise values based on the actual standard normal distribution. These values come from a more accurate calculation using the cumulative distribution function (CDF) of the normal distribution, which gives the exact probability for any given range of z-scores.
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While birdwatching, Vicki saw 7 red birds, 9 white birds, and 19 black birds. Johnny saw 9 red birds, 12 blue birds, and 29 brown birds. Estimate how many more birds Johnny saw by rounding all numbers to the nearest ten before adding and subtracting.
Answer:
10
Step-by-step explanation:
7 rounds to 10
9 rounds to 10
19 rounds to 20
so Vicki has 40 birds
9 rounds to 10
12 rounds to 10
29 rounds to 30
so johnny has 50 birds
now subtract 50-40=10
11. Hannah recorded the number of miles she jogged. She started jogging 3 41 miles. Every week she jogged an additional
1 21 miles. Select all true statements. The y-intercept is the rate of change. The y-intercept is the starting value. The slope is 121. The slope is 3 41. The y-intercept is 1 21. The y-intercept is 3 41
Using coordinate geometry,
The y-intercept is the starting value (true).The slope is 1/2 or 0.5, not 121 or 3/41 (false).The y-intercept is 3/41 is also false as it contradicts the first true statement, therefore, the y-intercept is the starting value and the y-intercept of 3/41 is also true.The problem provides two pieces of information about Hannah's jogging routine: she started with 3 41 miles and added 1/21 miles every week. We can use this information to create a linear equation that represents the number of miles Hannah jogged as a function of the number of weeks she has been jogging.
To create this equation, we first identify the starting value, which is 3 41 miles. This is also the y-intercept of the line. Next, we determine the slope of the line, which is the rate at which the number of miles increases each week. The slope is equal to the change in y (miles) divided by the change in x (weeks), which in this case is (1/21 - 3/41)/1 = -2/1 = -2. Therefore, the slope of the line is -2.
Putting these two pieces of information together, we get the equation y = -2x + 3 41, where y is the number of miles jogging and x is the number of weeks of jogging. This is a linear equation in slope-intercept form, where the slope is -2 and the y-intercept is 3 41.
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a centrifuge in a medical laboratory rotates at an angular speed of 3450 rev/min in the positive direction. when switched off, it rotates through 45.8 revolutions before coming to rest. Find the constant angular acceleration of the centrifuge.
The constant angular acceleration of the centrifuge is approximately [tex]-331283[/tex] rad/min² in the negative direction.
To find the constant angular acceleration of the centrifuge, we can use the following kinematic equation:
ω² = ω₀² + 2αθ
Here, ω is the final angular velocity (0 rad/min, since it comes to rest), ω₀ is the initial angular velocity (3450 rev/min), α is the constant angular acceleration we want to find, and θ is the angular displacement (45.8 revolutions).
First, we need to convert the given angular values to radians. We know that 1 revolution equals 2π radians.
Initial angular velocity, ω₀ = 3450 rev/min × 2π rad/rev = 6900π rad/min
Angular displacement, θ = 45.8 rev × 2π rad/rev = 91.6π rad
Now, substitute the values into the kinematic equation:
[tex]0 = (6900π)² + 2α(91.6π)[/tex]
[tex]α = - (6900π)² / (2 × 91.6π)[/tex]
[tex]α ≈ -331283 rad/min²[/tex]
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11. Find m
H= 5x+8
J= 7x-16
Answer:
let angle GJK be x
GJK=GHK (Base angle of isosceles triangle)
Step-by-step explanation:
x=5x+8
5x-x=8
4x=8
x=8/4
x=2 ans.
Hence,
5x+8
5*2+8
10+8
18.ans
you have been tracking how long you spend on each course subject during your homework sessions. you want to see what percentage each subject represents. which type of chart would be best for this purpose?
a pie chart would be an effective way to quickly and easily understand the distribution of time spent on different course subjects.
For visualizing the percentage distribution of different course subjects, a pie chart would be the most suitable type of chart. Pie charts are ideal for displaying the relative proportions of different categories or groups as slices of a circular pie. Each slice of the pie represents a proportion of the whole, which in this case would be the total time spent on all course subjects during homework sessions. The size of each slice will correspond to the percentage of time spent on each course subject. Therefore, a pie chart would be an effective way to quickly and easily understand the distribution of time spent on different course subjects.
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the ages of students at a university are normally distributed with a mean of 20. what percentage of the student body is at least 20 years old?
The percentage of the student body that is at least 20 years old is 50%.
The ages of students at a university are normally distributed with a mean of 20. To find the percentage of the student body that is at least 20 years old solution to the is as follows: As the Mean of ages of students at a university, μ = 20. Age is normally distributed so it will be divided into two groups Therefore, the mean age is equal to the median age. As the age is normally distributed, 50% of the population will have an age greater than or equal to 20 years old. Thus, the percentage of the student body that is at least 20 years old is 50%. Hence, the required percentage of the student body that is at least 20 years old is 50%.
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is it possible to have a c2 strictly convex function on a compact domain that is not also strongly convex?
Yes, it is possible to have a c2 strictly convex function on a compact domain that is not also strongly convex.
Let's have a look at the following details of it.
Definition of a Strictly Convex Function:A strictly convex function is a function whose Hessian matrix is positive-definite for all arguments. As a result, if f is differentiable and convex, it is strictly convex if and only if its Hessian matrix is positive-definite for all arguments.
The Definition of Strong Convexity: A function is said to be strongly convex if it meets the following criteria:
Let C be a convex subset of a Hilbert space H, and let f:C→ℝ be a continuously differentiable function. There is a positive constant μ such that, for all x,y∈C: f(y)≥f(x)+⟨∇f(x),y−x⟩+μ/2‖y−x‖2
Thus, it is clear from the above-mentioned definitions that it is possible to have a c2 strictly convex function on a compact domain that is not also strongly convex.
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What is the volume of the cone expressed in terms of pi?
Answer: V≈339.29 in
Step-by-step explanation:
When George Washington became president in 1789, the army he had commanded in the American Revolution had
disbanded
ARMY DISBANDED MEANS SOLDIERS WERE RELEASED FROM SERVICE
When George Washington became president in 1789, the army he had
commanded in the American Revolution had disbanded. This means that
the soldiers were released from service and the military units were
dissolved after the end of the war.He pursued two intertwined interests:
military arts and western expansion. At 16 he helped survey Shenandoah
lands for Thomas, Lord Fairfax. Commissioned a lieutenant colonel in 1754,
he fought the first skirmishes of what grew into the French and Indian War.
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please help i will give brainliest along with 20 pnts. ONLY ANSWER IF YOU KNOW IT
Giovanna deposited $1600 into two accounts, half in First Oak and half in West United.
Interest earned in First Oak account after 5 years at 6% simple interest:
= 0.06 x $800 x 5
= $240
Interest earned in West United account after 5 years at 5% compounded annually:
= $800 x (1 + 0.05)^5 - $800
= $800 x 1.27628 - $800
= $221.02
Total interest earned in both accounts:
= $240 + $221.02
= $461.02
Therefore, Giovanna will have earned $461.02 in interest from both accounts at the end of 5 years.
Subtract the following polynomials.
The subtraction of the polynomials (3.1x + 2.8z) - (4.3x - 1.2z) is -1.2x + 4x
How to subtract polynomials?A polynomial is an expression consisting of a sum of a finite number of terms, each term being the product of a constant coefficient and one or more variables raised to a non-negative integer power.
(3.1x + 2.8z) - (4.3x - 1.2z)
open parenthesis
3.1x + 2.8z - 4.3x + 1.2z
combine like terms
3.1x - 4.3x + 2.8z + 1.2z
-1.2x + 4x
Ultimately, -1.2x + 4x is the results of the subtraction of the polynomial.
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if the path around the edge of a circular lawn is 132 feet, what is the approximate area inside the circular path? complete the answer sentence. solve on paper. then, enter your answer on zearn. you may consider writing your answer to the hundredths place and using the calculator to help you solve.
As a result, the circumference of the circular walkway is approximately 367.06 square feet.
what is circle ?A circle is a geometric shape made up of all points that are equally spaced apart from the center. It is a flat, two-dimensional object whose radius or diameter serves as its sole defining characteristic. A circle's circumference is the distance around it, while the area of the circle is the amount of space inside it.
given
We must deduct the area of the smaller circle from the size of the larger circle in order to determine the area inside the circular path. Let's use the abbreviations "r" for the smaller circle's radius and "R" for the larger circle's radius. We are aware that the circumference of the smaller circle, which is 132 feet, is equal to the distance around the circular path.
The wider circle's circumference is 132 feet.
2πR = 132
R = 21
The breadth of the circular path, which is equal to the difference between the radii of the two circles, can now be used to calculate the radius of the smaller circle:
R - r = diameter of the circle
21 - r = diameter of the circle
r = 18
The smaller circle therefore has a radius of 18 feet.
Inside the arc of the path, there is:
R2 - r2 equals (21 - 18) = (44 - 324) = (117) 367.06 square feet.
As a result, the circumference of the circular walkway is approximately 367.06 square feet.
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which events are independent? check all that apply.each number 1 through 10 is written on a slip of paper, placed in a hat, and randomly picked. sarah picks a number less than 5, keeps it, and then picks an odd number.
The events that are independent are,
1) Henry rolling a multiple of 2 and landing on a red portion of the spinner.
2) Two pairs of socks being randomly chosen from a drawer, Hayden choosing a black pair of socks, putting them on, and then choosing another black pair.
3) Olivia choosing an ace and the dart hitting the bull's-eye
The events that are independent are:1) Henry rolling a multiple of 2 and landing on a red portion of the spinner.
2) Two pairs of socks being randomly chosen from a drawer, Hayden choosing a black pair of socks, putting them on, and then choosing another black pair.
3) Olivia choosing an ace and the dart hitting the bull's-eye.
The other events are dependent because the outcome of the first event affects the outcome of the second event. Specifically
1) Sarah picking a number less than 5 and then picking an odd number. The second event depends on the outcome of the first event.
2) A number cube being rolled and a spinner being spun. The two events are independent of each other, but the outcomes of each event are not independent.
3) Two cards being randomly chosen from a standard deck, and Eliza choosing a jack, replacing it, and then choosing a black card. The outcome of the second event depends on the outcome of the first event, and the outcome of the first event affects the composition of the deck for the second event.
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The given question is incomplete, the complete question is:
Which events are independent? Check all that apply. Each number 1 through 10 is written on a slip of paper, placed in a hat, and randomly picked. Sarah picks a number less than 5, keeps it, and then picks an odd number. A number cube is rolled and a spinner is spun. Henry rolls a multiple of 2 and lands on a red portion of the spinner. Two cards are randomly chosen from a standard deck. Eliza chooses a jack, replaces it, and then chooses a black card. Two pairs of socks are randomly chosen from a drawer. Hayden chooses a black pair of socks, puts them on, and then chooses another black pair. A card is randomly chosen from a standard deck and a dart is randomly thrown. Olivia chooses an ace and the dart hits the bull’s-eye.
for the beam and loading shown, (a) draw the shear and bending-moment diagrams, (b) determine the equations of the shear and bending-moment curves. 5.1
Bending moment curve equation below point A will be:
M = 15x - 3x² for 0 ≤ x ≤ b
Determination of shear and bending moment curves.
For the beam and loading shown, we can do the following:
Equation of shear curve (above point A):V = RA - w.x
For x = a,V = RA - w.a
For x = b,V = RA - w.b
Since the loading is symmetric, RA = w(a + b) / 2= (6 * 5) / 2= 15kNV = 15 - 6a for a ≤ x ≤ b
Equation of shear curve (below point A):
V = RA - w.x
For x = 0,V = RA - w.0RA = w(a + b) / 2= (6 * 5) / 2= 15kNV = 15k for 0 ≤ x ≤ a
The shear curve equation becomes;
V = 15k for 0 ≤ x ≤ a
V = 15 - 6a for a ≤ x ≤ b
Equation of bending moment curve (above point A):
M = RAx - ½w.x²For 0 ≤ x ≤ a,
M = 15x - ½(6x²) = 15x - 3x²For a ≤ x ≤ b,
M = 15x - 6a(x - a) - ½(6x²)= 15x - 6ax + 6a² - 3x²
The bending moment curve equation above point A becomes:
M = 15x - 3x² for 0 ≤ x ≤ a
M = 15x - 6ax + 6a² - 3x² for a ≤ x ≤ b
Equation of bending moment curve (below point A):
M = RAx - ½w.x²For 0 ≤ x ≤ b,
M = 15x - ½(6x²) = 15x - 3x²
The bending moment curve equation below point A becomes;
M = 15x - 3x² for 0 ≤ x ≤ b
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If a regular polygon had 360 side, what would each exterior angle measure? What would each interior angle measure?
Therefore, each internal angle would be 178 degrees in a regular polygon with 360 sides.
what is angle ?In mathematics, an angle is a figure made up of two rays that share a shared endpoint and are referred to as the sides of the angle and the vertex of the angle, respectively. Angles are typically measured in degrees, radians, or other angle measurement units. Angles can be categorized based on how wide they are. An acute angle is one that is less than 90 degrees, an obtuse angle is one that is higher than 90 degrees but less than 180 degrees, and a right angle is one that is 90 degrees. A reflex angle is greater than 180 degrees but less than 360 degrees, and a straight angle is precisely 180 degrees.
given
Since a polygon with that many sides would have sides that are extremely tiny in relation to the radius, if a regular polygon has 360 sides, it is a circle. Since every group of points in a regular polygon has an equal exterior angle and the sum of all exterior angles in a circle is 360 degrees, each exterior angle in a regular polygon would be measured as follows:
360 edges / 360 degrees = one degree.
Each interior angle of a regular polygon with n sides can be determined using the following formula:
Inner angle is equal to (n-2) x 180 / n.
When we enter n = 360 into this algorithm, we obtain:
(360-2) x 180 degrees / 360 = 178 degrees is the interior angle.
Therefore, each internal angle would be 178 degrees in a regular polygon with 360 sides.
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I need help with this problem. Joe bought a gallon of gasoline for 2. 85 per gallon and c cans of oil for 3. 15 per can
From the given information provided, the expression that need to determine the total amount is Total cost = $2.85/gallon x g gallons + $3.15/can x c cans.
The expression that can be used to determine the total amount Joe spent on gasoline and oil is:
Total cost = Cost of gasoline + Cost of oil
We can represent the cost of gasoline as:
Cost of gasoline = price per gallon x number of gallons
Substituting the given values, we get:
Cost of gasoline = $2.85/gallon x g gallons
Similarly, we can represent the cost of oil as:
Cost of oil = price per can x number of cans
Substituting the given values, we get:
Cost of oil = $3.15/can x c cans
Putting it all together, we get:
Total cost = $2.85/gallon x g gallons + $3.15/can x c cans
Expression that can be used to determine the total amount Joe spent on gasoline and oil is:
Total cost = $2.85/gallon x g gallons + $3.15/can x c cans
Question - Joe bought g gallons of gasoline for $2.85 per gallon and c cans of oil for $3.15 per can. What expression can be used to determine the total amount Joe spent on gasoline and oil?
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The mirror has a frame. The diameter of the mirror with
the frame is 17 inches. To the nearest hundredth, what
is the area of the mirror with the frame?
Answer:
226.865 square inches.
Step-by-step explanation:
The equation for the area of a circle is [tex]\pi r^2[/tex]. Let's use 3.14 for pi. The radius can be found by dividing 17/2 = 8.5. 8.5 squared is 72.25. Finally, multiply by pi to get 226.865.
Which one of the following decisions most clearly reflects a lack of understanding of the concept of sunk costs? You pay to have your car towed back to the repair shop because it was not fixed properly the first time. You decide to get a master's degree because you cannot find a job in the field in which you majored. You decide to purchase a piece of machinery for your business that will eliminate three employees' positions. You study eight hours for a final exam even though there is no way now that you can pass the course.
The decision that most clearly reflects a lack of understanding of the concept of sunk costs is "You study eight hours for a final exam even though there is no way now that you can pass the course".
What are sunk costs?Sunk costs refer to any costs that have already been incurred and cannot be recovered. Sunk costs are irrelevant in decision-making because they are already gone and cannot be recovered. Decision-makers must only consider future costs and benefits when making decisions.
What does it mean to lack an understanding of sunk costs?A lack of understanding of sunk costs may result in individuals making decisions based on past costs rather than future costs and benefits. Decision-making that is influenced by sunk costs may result in inefficient resource allocation and lost opportunities.
Individuals must ignore sunk costs and instead focus on future costs and benefits to make effective decisions.
In the given options, "You study eight hours for a final exam even though there is no way now that you can pass the course" is the decision that most clearly reflects a lack of understanding of the concept of sunk costs.
Even though the student has already spent 8 hours studying, the sunk costs are irrelevant because the student cannot pass the course now. The student should focus on future costs and benefits and use the remaining time to study for other courses.
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the area of the figure
Answer:
432
Step-by-step explanation:
go 16x27 and that is your answer
Answer:
The area of the figureo will be 432
BECAUSE :-
You have to multiply 16 × 27 = 432
Hope Its Help You !!
What is the quotient of 3.013 × 10^(8) and 6.55 × 10^(5) expressed in scientific notation?
The quotient of 3.013 × [tex]10^{8}[/tex] and 6.55 × [tex]10^{5}[/tex] expressed in scientific notation is equal to 0.46 × [tex]10^{3}[/tex].
What is a quotient?In Mathematics, a quotient is a mathematical expression that is simply used to represent the division of a number (numerator) by another number (denominator).
Generally speaking, any numerical data (number) can be written in scientific notation as shown below:
a × [tex]b^n[/tex]
Where
a represent a real number.b represent an integer.Next, we would rewrite the given numerical data (number) in scientific notation by dividing by 6.55 × [tex]10^{5}[/tex] as follows:
Scientific notation = 3.013 × [tex]10^{8}[/tex]/(6.55 × [tex]10^{5}[/tex])
Scientific notation = 0.46 × [tex]10^{8-5}[/tex]
Scientific notation = 0.46 × [tex]10^{3}[/tex].
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