The surface area of a square pyramid net can be found by adding the areas of the base and the four triangular faces.
First, find the area of the base by multiplying the length and width of the square base.
Area of base = length × width
Next, find the area of one of the triangular faces by using the formula:
Area of triangle = 0.5 × base × height
Since there are four triangular faces in a square pyramid, multiply the area of one triangle by four to find the total area of the triangular faces.
Area of triangular faces = 4 × (0.5 × base × height)
Finally, add the area of the base and the area of the triangular faces to find the total surface area of the square pyramid net.
Surface area = Area of base + Area of triangular faces
= (length × width) + (4 × (0.5 × base × height))
= (length × width) + (2 × base × height)
So, the surface area of a square pyramid net is the sum of the area of the base and the area of the four triangular faces.
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If there were 2,500 people in your city and we wanted to survey people about how they feel about building a prison near the schools what would be a representative sample to survey
The requried representative sample for the survey would consist of 385 people randomly selected from the city's population.
What is Statistic?The statistic is the study of mathematics that deals with relations between comprehensive data.
Here,
To obtain a representative sample of the population, the sample should be randomly selected to ensure that each person in the city has an equal chance of being chosen. The size of the sample will depend on the level of precision required, the confidence level desired, and the margin of error that is acceptable. However, as a general rule, a sample size of at least 385 people would be required to obtain a margin of error of plus or minus 5% with a 95% confidence level.
Therefore, a representative sample to the survey would consist of 385 people randomly selected from the city's population.
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The cost of an air conditioner is $110. The cost to run the air conditioner is $0.35 per
minute.
What is the range of the situation above?
Answer:
Step-by-step explanation:
What is the rate of change?
Answer:
(-5,1) and (0,3)
in this first one the distance of x is -5 and y is 1, similarly in second x is in origin which means 0 and y is 3.....
The point of concurrency of the three angle bisectors of a triangle is _____
The point of concurrency of the three angle bisectors of a triangle is incenter
The three angle bisectors of a triangle are concurrent in a point equidistant from the sides of a triangle. The point of concurrency of the angle bisectors of a triangle is known as the incenter of a triangle.
The incenter is the point in the triangle's inscribed circle, which is the circle that is perpendicular to each of the triangle's three sides.The point where the triangle's angle bisectors cross is known as the incenter, which is equidistant from the triangle's three sides. It is a crucial location in triangle geometry, and numerous incenter properties are applied in various triangle-related constructions and proofs.
Therefore, the point at which the three angle bisectors of a triangle meet is called its Incentre.
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simplify 5 ^ 4 * 10 ^ 4 x ^ 7 / 8 * 4 3 * 5 ^ 3
[tex] \sf \frac{5^{4} \times {10}^{4x ^{7} } }{8 \times 43 \times {5}^{3} } [/tex]
Solution in the attachment!! :)Find the solution of the system of equations
8x+2y=38
2x-4y=-4
The solution of the system of equations is (4, 3)
How to solve the system of equations?Here we want to solve the system below:
8x+2y=38
2x-4y=-4
If we add 2 times the first equation and the second equation we will get:
2*(8x + 2y) + (2x - 4y) = 2*38 - 4
16x + 4y + 2x - 4y = 72
18x = 72
x = 72/18 = 4
And the vale of y is given by inputing x = 4 in one of the two equations.
2*4 - 4y = -4
8 - 4y = -4
-4y = -4 - 8
y = -12/-4 = 3
The solution is (4, 3)
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Can somebody help me on this? sss or sas it stands for side-side-side or side-angle-side.
Triangle PST is congruent to triangle QSR based on side-angle-side congruency theorem
What is a triangle?A triangle is a polygon that has three sides and three angles. Types of triangles are equilateral, isosceles, scalene, right angled triangle. In an equilateral triangle, two sides are equal.
Two triangles are said to be congruent, if all angles and all sides are congruent to each other.
From the diagram:
ΔPQR is equilateral (given)
QR = PT (Given)
∠SPT = ∠RQS (Given)
PS = QS (Definition of equilateral triangle)
ΔPST ≅ ΔQSR (Side angle side congruency theorem)
Triangle PST is congruent to triangle QSR
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Is finding 9/8, subtracted by 1/2 the same as finding 9/10 subtracted by 1/4 subtracted by 1/4 ? explain .
Do leading zeros count as significant figures?
Absolutely, because they show how big a number is, average leading zeros are regarded as significant digits. Leading zeros are counted as important figures since they help determine the decimal point's location and the size of the number.
Leading zeros in a number are important figures. This implies that when counting the total number of significant figures in a number, they are taken into account. The reason for this is that preceding zeros reveal the location of the decimal point and, hence, the size of the number. Because the leading zero signifies that the number is in hundredths, the number 0.002, for instance, has three significant figures. The number would be read as two rather than two hundredths without the leading zero. Due to their significance in assessing a number's precision, leading zeros should always be counted among the significant figures.
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suppose v varies directly as g , and = 70 when v=30. Find v when g=9
Answer:
v = 21
Step-by-step explanation:
Suppose v varies directly as g, meaning that there is a constant k such that v = kg. If v = 70 when g = 30, then we can use this information to find the value of k:70 = k * 30k = 70 / 30k = 7 / 3Now that we have the value of k, we can use it to find v when g = 9:v = kgv = (7 / 3) * 9v = 21So when g = 9, v = 21.In conclusion, by finding the value of the constant of proportionality k and using the formula v = kg, we determined that when g = 9, v = 21.
I need a bit of help
Answer:
I believe the solution is -12
Step-by-step explanation:
According to a Manila police, two people were killed when the 1,000 kg car illegally drag racing at a speed of 30 m/s had a head on collision with a 2,000 kg truck whose driver fell asleep as it traveled 20 m/s. Which vehicle has received the greater force?
Answer: To determine which vehicle received the greater force, we need to calculate the momentum change for each vehicle during the collision. The force experienced by a vehicle during a collision is equal to the rate of change of its momentum.
First, let's calculate the initial momentum for each vehicle:
The car has a mass of 1,000 kg and a velocity of 30 m/s, so its initial momentum is 1,000 kg * 30 m/s = 30,000 kg m/s.
The truck has a mass of 2,000 kg and a velocity of 20 m/s, so its initial momentum is 2,000 kg * 20 m/s = 40,000 kg m/s.
Next, let's calculate the final momentum for both vehicles after the collision:
The car and truck collide head-on, so their velocities will become zero after the collision. So the final momentum for both vehicles will be zero.
Finally, we can calculate the rate of change of momentum for each vehicle:
The rate of change of momentum for the car is equal to its final momentum minus its initial momentum, or 30,000 kg m/s - 0 kg m/s = 30,000 kg m/s.
The rate of change of momentum for the truck is equal to its final momentum minus its initial momentum, or 0 kg m/s - 40,000 kg m/s = -40,000 kg m/s.
Since the magnitude of the rate of change of momentum for the truck is greater than the magnitude of the rate of change of momentum for the car, the truck has received the greater force.
Step-by-step explanation:
How do you calculate MLB magic number?
The magic number is calculated as G + 1 − [tex]W_{A}[/tex] − [tex]L_{B}[/tex], where G represents the season's overall number of games. The total victory for Team A is represented by the WA. LB is the total number of defeats Team B has suffered this year.
The "magic number" in baseball is used to estimate how likely a club is to advance to the postseason or win the division. Every year, in September, when teams get closer to clinching, it gains attention. The total number of victories and losses that must occur by a team's closest rival in order for that team to achieve a certain goal is known as its magic number. A team's magic number drops by one with each victory. The magic number additionally drops by one each time the team's closest rival for the division (or Wild Card) loses.
This is the precise formula: Games left in season: +1 (Losses by second place team - losses by first place team)
The magic number changes to reflect any further changes in the second-place team.
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What is the cost and area of the mat
The costs and areas of the mat are
Mat area = 2x + 2y + 4; Cost = 0.1x + 0.1y + 0.2Mat area = 4x + 4y + 16; Cost = 0.2x + 0.2y + 0.8How to determine the cost and area of the matRepresent the dimensions of the frame with
Length = x
Width = y
So, the frame area is
Area = xy
When the mat is 1 inch from the frame, we have
Whole Area = (x + 1 + 1) * (y + 1 + 1)
Whole Area = (x + 2) * (y + 2)
Expand
Whole Area = xy + 2x + 2y + 4
So, the mat area is
Mat area = xy + 2x + 2y + 4 - xy
Mat area = 2x + 2y + 4
The cost is
Cost = 0.05 * (2x + 2y + 4)
Cost = 0.1x + 0.1y + 0.2
When the mat is 2 inches from the frame, we have
Whole Area = (x + 4) * (y + 4)
Expand
Whole Area = xy + 4x + 4y + 16
So, the mat area is
Mat area = xy + 4x + 4y + 16 - xy
Mat area = 4x + 4y + 16
The cost is
Cost = 0.05 * (4x + 4y + 16)
Cost = 0.2x + 0.2y + 0.8
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How much 5000000 won to usd?
Answer:
3,975.16 United States Dollar
Step-by-step explanation:
What is the shape of the graph of the function? g(x)=6 x (8/3)^x
The graph of the function [tex]g(x) = 6.(\frac{8}{3})^x[/tex] is an exponentially growing function.
What is the formula for exponential growth and exponential decaying function?The formula for exponential growth is [tex]y = y_0.e^{(kt)}.[/tex]
The formula for exponential decay is [tex]y = y_0.e^{(-kt)}[/tex].
Given, An exponential function [tex]g(x) = 6.(\frac{8}{3})^x[/tex].
The graph of the function has a y-intercept of 6 and it is an exponentially growing function for all positive values of 'x'.
To obtain the intercept we set x = 0, Therefore, [tex]g(0) = 6.(\frac{8}{3})^0[/tex],
[tex]g(0) = 6[/tex].
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2. The area of a garden plot can be represented by
the expression 85.2z - 58.8. The garden will be
divided into six sections for planting six different
vegetables. The sections will be equal in area.
Write an expression that represents the area of
each section.
The expression that represents the area of each section is 14.2z - 9.8.
What is area ?
To find the area of each section, we need to divide the total area of the garden plot by the number of sections, which in this case is six.
The expression for the area of each section can be obtained by dividing the expression for the total area by 6:
(area of each section) = (total area of garden plot) / 6
(area of each section) = (85.2z - 58.8) / 6
Simplifying this expression, we can divide both terms by 6:
(area of each section) = 14.2z - 9.8
Therefore, the expression that represents the area of each section is 14.2z - 9.8.
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Diego rounded a number to the nearest whole number and got 12.
Which number could be the number Diego rounded to the nearest whole number?
Answer:
Below
Step-by-step explanation:
N, the number can be anything greater than or equal to 11.5 and less than 12.5
11.5 ≤ n < 12.5
WILL MARK BRAINLIEST! Which polygon appears to be regular?
O Figure A
O Figure B
O Figure C
O Figure D
Answer:
I'm 90% sure it's B.
Step-by-step explanation:
sorry if its not correct-
Answer: figure b
Step-by-step explanation:
this is because all of figure b's sides are congruent but the other figures sides are different lengths
a line y = 3x - 5 is reflected in x = a so that the image is given by y = 1 - 3x. what is the value of A?
Answer: The line y = 3x - 5 can be expressed in the form y = mx + b, where m is the slope and b is the y-intercept. In this case, m = 3 and b = -5.
When a line is reflected across the x-axis, the slope of the line changes sign, but the y-intercept remains the same. This means that if the original line has slope m and y-intercept b, the reflected line will have slope -m and y-intercept b.
For the image, y = 1 - 3x, the slope is -3 and the y-intercept is 1.
To find the value of a, we can set the two lines equal to each other and solve for x:
3x - 5 = 1 - 3x
Solving for x, we get:
4x = 6
x = 3/2
So the line of reflection, x = a, passes through
Step-by-step explanation:
Find and balance the account :
$4,800 principal earning 1%, compounded semi-annually, after 24 years
A $6,094.73
B $6,098.35
C $5,410.37
D $232,704.00
Answer: B - $6,098.35
Step-by-step explanation:
This is a compound interest question. The compound interest formula is:
A = P ( 1 + r/n)^nt
A = Future amount of investment
P = Starting amount of investment
r = Rate of interest
n = Number of times interest compounds per year
t = Time (Years)
You must turn the percentage (1%) into a decimal by dividing by 100
1/100=.01
So, the equation for this question is:
A = 4,800(1+[tex]\frac{.01}{2}[/tex])^(2)(24)
A = 4800(1.005)^48
A = 4800(1.2704891611)
A = 6,098.35
YQ and XP are altitudes to the congruent sides of isosceles triangle △WXY.
The correct statements about the given isosceles triangle are: (B) YQ = XP, (C) ∠WXY = ∠WYX, (D) WQ/QX = WP/PY, (E) PQ ║ XY, and (F) ∠PXY = ∠QYX.
What is an isosceles triangle?An isosceles triangle in geometry is a triangle with two equal-length sides.
It can be stated as having exactly two equal-length sides or at least two equal-length sides, with the latter definition containing the equilateral triangle as an exception.
The isosceles right triangle, the golden triangle, the faces of bipyramids, and some Catalan solids are all examples of isosceles triangles.
Isosceles triangles were first studied mathematically in Babylonian and Egyptian mathematics.
Isosceles triangles are commonly employed in architecture and design, such as in building pediments and gables, and have been utilized as ornamentation since much earlier periods.
Then, according to the given image, the true statements for the following isosceles triangle can be:
YQ = XP
∠WXY = ∠WYX
WQ/QX = WP/PY
PQ ║ XY
∠PXY = ∠QYX
Therefore, the correct statements about the given isosceles triangle are: (B) YQ = XP, (C) ∠WXY = ∠WYX, (D) WQ/QX = WP/PY, (E) PQ ║ XY, and (F) ∠PXY = ∠QYX.
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what is 250lb in kg ?
Using the formula to convert pounds to kilogram,
We know that :
1 lb/ Pound = 0.453592 kilogram
therefore,
250 lbs/ Pound = 113.398 kilogram.
Using the formula to convert pounds to kilograms, you find that 250 pounds equals 113.398 kilograms
To convert 250 pounds (pounds) to kilograms (kg), you must use the conversion factor 1 pound = 113.398 kilogram.
Therefore,
we multiply 250 pounds by 86.18 kg/lb to get the equivalent weight in kilograms:
250 pounds x 0.45359237 kg/lb = 113.398 kilogram
Therefore,
250 pounds is 113.4 kilogram.
To understand the conversion factor, you need to know that pounds and kilograms are units of mass, but are used in many parts of the world. In the United States and some other countries, the accepted unit of mass is the pound, while most other countries use the kilogram.
A conversion factor connects the number of pounds to the number of kilograms, so you can easily convert from one unit of measure to another. It is important to use the correct conversion factor for accurate conversion.
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box plot and percentages
The statements supported by the random samples of the amount of time spent shopping, as shown on the box plot are :
A. About 25 % of shoppers in Group A spent 30 minutes or less shopping. Group A had a greater variability in the number of minutes spent shopping.What does the box plot show ?For Group A, the box begins at 30 minutes. This means that 25 % of those in group A spent 30 minutes or less when shopping. For Group B, this can be said to be less than 25 %.
Group A had a longer box than Group B and what this is meant to show is that Group A had greater variability in the data ( number of minutes spent shopping ) than Group B.
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Solve for x show proofs please
The value of x in the triangle s 16√2
How to determine the length of xFrom the question, we have the following parameters that can be used in our computation:
The triangle
The vertical side (y) can be calculated using the following equation
y/2 = (18 - 2)/y
So, we have
y^2 = 32
Take the square roots
y = 4√2
The length x is then calculated as
x^2 = y^2 + (18 - 2)^2
Substitute the known values in the above equation, so, we have the following representation
x^2 = (4√2)^2 + (18 - 2)^2
Evaluate
x^2 = 288
Take the square root
x = 16√2
Hence, the value of x is 16√2
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I NEED HELP ASAP
Michael has $15 and wants to buy a combination of cupcakes and fudge to feed at least three siblings. A cupcake costs $2, and a piece of fudge costs $3.
This system of inequalities models the scenario:
2x + 3y ≤ 15
x + y ≥ 3
Part A: Describe the graph of the system of inequalities, including shading and the types of lines graphed. Provide a description of the solution set. (4 points)
Part B: Is the point (5, 1) included in the solution area for the system? Justify your answer mathematically. (3 points)
Part C: Choose a different point in the solution set and interpret what it means in terms of the real-world context. (3 points)
The description of the graph of the system of inequalities, including shading and the types of lines graphed, and the description of the solution set is given below:
How to make the graphx is the number of cupcakes.y is the number of fudge pieces.2x + y <= 8 is the inequality for the cost.
x + y >= 4 is the inequality for the number of cupcakes or pieces of fudge that she wants to buy.
using the desmos dot com calculator, you would graph the OPPOSITE of the inequalities.
the area on the graph that is NOT shaded is the feasible region
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How do I divide 372 divided by 2
Answer:
186
Step-by-step explanation:
Division will yield 186 .
Given,
372 divided by 2.
Now,
For division firstly the common factors of 372 and 2,
372 = 2 * 2 *3 * 31
2 = 2 * 1
So common factor is 2,
Now divide 372 by 2
= 372/2
= 186
Thus the value of 372 divided by 2 is 186 .
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Algebra 2 - F - Homework #7
Solve the following systems of equations. Graph the lines to check your
solutions. Make sure you show all the work:
1.{2x+y=2
{5x+3y − 9
2. {5x - 2y = -2
{3x + 4y − 30
3. {-x+2y =
{3x + y = 15
Please help
{2x + y = 2
{5x + 3y - 9
Solution: We can solve this system of equations either by substitution or elimination method. Here, let's use substitution method.
From equation 1, we have: y = -2x + 2
Substituting this in equation 2, we get: 5x + 3(-2x + 2) - 9 = 0
Expanding the right-hand side, we get: 5x - 6x + 6 - 9 = 0
Simplifying further, we get: -x + (-3) = 0
Adding x to both sides, we get: -3 = x
Substituting this value of x in y = -2x + 2, we get: y = -2(-3) + 2 = 6
So, the solution to the system of equations is (x, y) = (-3, 6)
{5x - 2y = -2
{3x + 4y - 30
Solution: We can solve this system of equations by either substitution or elimination method. Here, let's use elimination method.
We can multiply equation 1 by 3 and equation 2 by 2, to make the coefficients of y same in both equations. Doing this, we get:
15x - 6y = -6
6x + 8y - 60 = 0
Adding these two equations, we get: 21x + 2y - 60 = 0
Simplifying further, we get: 21x = 60 + 2y
Dividing both sides by 21, we get: x = (60 + 2y)/21
Substituting this in equation 1, we get: 5((60 + 2y)/21) - 2y = -2
Expanding the right-hand side, we get: 60/21 + 10/21 y - 2y = -2
Simplifying further, we get: 60/21 + (-12/21) y = -2
Adding 12/21 y to both sides, we get: 60/21 = (-2) + (12/21) y
Subtracting -2 from both sides, we get: 62/21 = (12/21) y
Dividing both sides by 12/21, we get: y = 62/12 = 5 1/6
Substituting this value of y in x = (60 + 2y)/21, we get: x = (60 + 2(5 1/6))/21 = (60 + 11 1/3)/21 = (71 1/3)/21 = 71/21 + 1/63
So, the solution to the system of equations is (x, y) = (71/21 + 1/63, 5 1/6)
The circle below is centered at the point (8, 4) and has a radius of length 4.
What is its equation?
D. (x+8)2 + (y-4)² = 16
10
OA. (x-4)2+(y-8)² =
42
B. (x-4)2 + (y+8)² = 4
C. (x-8)2 + (y-4)2 =
6
The equation of this circle include the following: C. (x - 8)² + (y - 4)² = 16.
What is the equation of a circle?In Mathematics, the standard form of the equation of a circle is represented by this mathematical expression;
(x - h)² + (y - k)² = r²
Where:
h and k represents the coordinates at the center of a circle.r represents the radius of a circle.Substituting the given points into the equation of a circle formula, we have the following;
(x - h)² + (y - k)² = r²
(x - 8)² + (y - 4)² = 4²
(x - 8)² + (y - 4)² = 16.
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PLEASE HELP ASAP!!!