The number of mosaics tiles in each side of the square floor is 7 tiles.
What is a square ?Since a square has four equal sides and four equal angles, it is a regular quadrilateral. It may alternatively be explained as a rectangle with two neighboring sides that are of equal length.
A square can have many different characteristics. The following list includes some of a square's key characteristics.
A quadrilateral having four sides and four vertices is called a square.The square's four sides are equal to one another.A square's diagonals are parpendicular to one another.Each vertex of a square has a 90° internal angle.360° is the total of all interior angles.A square's diagonals are 90 degrees apart from one another.The diagonals are all the same length.A square is also referred to as a parallelogram since its sides are parallel.In a square, the diagonals are longer than the sides.The square is divided into two similar triangles by the diagonals.The total number of mosaic tiles = 49
Let the lenght of each side of the floor be x
Therefore,
x² = 49
⇒ x = 7
The number of mosaics tiles in each side of the floor is 7 tiles.
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Chris and Josh are working part time jobs over the summer. Chris makes $9 per hour at Chicken Express and already has $50 in his savings account. Josh makes $15 per hour at amazon and already has $20 in his savings account. Write an equation for when Chris and Josh have saved the same amount of money.
The equation when Chris and Josh have saved the same amount is given as by substituting the value of y in equation 1 in equation 2 9x + 50 = 15x + 20.
What are linear equations?An equation is said to be linear if the maximum power of the variable is consistently 1. Another name for it is a one-degree equation. A linear equation with one variable has the conventional form Ax + B = 0. In this case, the variables x and A are variables, whereas B is a constant. A linear equation with two variables has the conventional form Ax + By = C.
Let us suppose the number of hours = x.
Let us suppose the total amount saved = y
Given that:
Chris makes $9 per hour at Chicken Express and already has $50 in his savings account. The equation for Chris is:
y = 9x + 50
Josh makes $15 per hour at amazon and already has $20 in his savings account. The equation for John is:
y = 15x + 20
The equation when Chris and Josh have saved the same amount is given as by substituting the value of y in equation 1 in equation 2.
9x + 50 = 15x + 20
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To paint a house, a painting company charges a flat rate of $500 for supplies, plus $50 for each hour of labor.
How much would the painting company charge to paint a house that needs 20 hours of labor? A house that needs 50 hours? c. Find the slope of the line. What is the meaning of the slope in this context?
Answer:
add 500 and 50 together then multiple that number my 20 then do the same but multiple by 50
What is 2^82 equal to?
4.835
(full number)
4.8357033e+24
2^82 = 4.83 We have to add the decimal to fine the real number.
What is a decimal?
A decimal is a number that consists of a whole and a fractional part. Decimal numbers lie between integers and represent numerical value for quantities that are whole plus some part of a whole.
For example, [tex]= > 3^82 = 1.33[/tex] so:
→ 2^82
→ = 4.83 with a decimal.
Therefore, 2^82 = 4.83 We have to add the decimal to fine the real number.
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13-0.75w +8x when x=1/2 and x=12
When w=12 and x=1/2, the value of the given equation 13-0.75w +8x is 8.
What is expression?An expression or mathematical expression is a finite collection of symbols that is well-formed according to context-dependent norms. In mathematics, an expression is a phrase that has at least two numbers or variables and at least one arithmetic operation. Addition, subtraction, multiplication, or division are all examples of math operations. A number, a variable, or a combination of numbers, variables, and operation symbols constitutes an expression. An equation consists of two expressions joined by an equal sign. Example of a word: the sum of 8 and 3. Example of a word: The product of 8 and 3 equals 11. 8 + 3 is an expression.
Here,
given expression,
=13-0.75w +8x
x=1/2
w=12
=13-0.75*12 +8*1/2
=8
The value of given expression 13-0.75w +8x when w=12 and x=1/2 is 8.
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HELP ASAP!
HEL Two students created paintings for their art class. The canvas size used for each is shown.
2 rectangles: Rectangle 1 has a length of 6 feet and width of 4 feet. Rectangle 2 has a length of 3 feet and width of 2 feet.
Which statement is true about the ratios comparing the width and length of each painting?
The paintings' width to length ratios are equal because the ratio 4 to 6 is equal to the ratio 2 to 3.
The paintings' width to length ratios are equal because the ratio 6 to 4 is equal to the ratio 2 to 3.
The paintings' width to length ratios are different because the ratio 3 to 2 is not equal to 6 to 4.
The paintings' width to length ratios are different because the ratio 4 to 6 is not equal to 3 to 2.P ASAP
The statement that is true about the ratios comparing the width and length of each painting is:
The paintings' width to length ratios are equal because the ratio 4 to 6 is equal to the ratio 2 to 3.
Ratio of numbers.A ratio is a fraction which compares the values of two numbers. Such that they can be expressed as a ratio of one to the other. Example is the ratio of a to b which can be expressed as; a:b or a/ b.
From the first dimension of the canvas size, we have;
length = 6 feet
width = 4 feet
So that,
the ratio comparing the width and length = 4/ 6
= 0.6667
From the second dimensions of the canvas size, we have;
length = 3 feet
width = 2 feet
the ratio comparing the width and length = 2/ 3
= 0.6667
Therefore, the statement that is true about the ratios comparing the width and length of each panting is; The paintings' width to length ratios are equal because the ratio 4 to 6 is equal to the ratio 2 to 3.
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Can someone help I will give all stars!!! Please help! I’ll help you aswell
Answer:
D) y = 5/3x - 7
A) 5/3
Step-by-step explanation:
5x - 3y = 21 Subtract 5x from both sides
5x - 5x - 3y = -5x + 21
-3y = -5x + 21 Divide all the way through by -3
[tex]\frac{-3y}{-3}[/tex] = [tex]\frac{-5}{-3}[/tex] x + [tex]\frac{21}{-3}[/tex]
y = [tex]\frac{5}{3}[/tex] x = 7
The slope is the number before the x 5/3
If the first quadrant starts on (12,11) and moves 8 units left and 7 units down where will it be?
The point on the graph is given by the coordinate Q ( 4 , 4 )
What is an Equation of a line?The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept
And y - y₁ = m ( x - x₁ )
y = y-coordinate of second point
y₁ = y-coordinate of point one
m = slope
x = x-coordinate of second point
x₁ = x-coordinate of point one
The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given data ,
Let the equation of line be represented as A
Now , the value of A is
Let the first point be represented as P
The coordinates of point P = P ( 12 , 11 )
Now , the point P movers 8 units left
So , the new coordinates of the position is ( 12 - 8 , 11 )
The new coordinates is ( 4 , 11 )
And , the it moves 7 units down ,
So , the coordinates of the point Q be Q ( 4 , 11 - 7 )
On simplifying , we get
The coordinates of point Q = Q ( 4 , 4 )
Hence , the coordinate is Q ( 4 , 4 )
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The population of a city decreases by 2.5% per year. If this year's population is
60,000, what will next year's population be, to the nearest individual?
The next year population is 61500
How is calculate next year population ?
step1
present population=60,000
increment per year=2.5%
next year population = 60000 + 2.5 % of 60,000
2.5% of 60000 =60000*2.5%
=60000*2.5/100
=1500*2.5
=3750
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Answer:
58500
Step-by-step explanation:
100
%
−
2.5
%
=
100%−2.5%=
97.5
%
97.5%
Whole population before decrease = 100%, then subtract decrease
97.5% of the current population means
97.5
100
of it.
97.5% of the current population means
100
97.5
of it.
"Percent" literally means "out of 100."
97.5
100
=
100
97.5
=
0.975
0.975
To find 97.5% of the current population, multiply by
0.975
:
To find 97.5% of the current population, multiply by 0.975:
60000
×
0.975
=
60000×0.975=
58500
58500
Method 2
Find the decrease, 2.5% of 60000:
Find the decrease, 2.5% of 60000:
2.5
100
=
100
2.5
=
0.025
0.025
60000
×
0.025
=
60000×0.025=
1500
1500
Subtract the decrease from the current pop:
Subtract the decrease from the current pop:
60000
−
1500
=
60000−1500=
58500
58500
population
percent
58500
97.5%
60000
100%
1500
current pop
current pop - decrease
2.5% decrease
Your Solution:
58500
circle the equivalent expressions!!
1. 14z + 12x
2. 2 + (7z + 6x)
3. 2(7z + 6x)
4. 9x + 3(4z + x) + 2z
Answer:
14z + 12x is not equivalent to any of the others
2 + (7z + 6x) is not equivalent to any of the others
2(7z + 6x) is equivalent to 14z + 12x
9x + 3(4z + x) + 2z is not equivalent to any of the others
Step-by-step explanation:
14z + 12x is equivalent to itself
2 + (7z + 6x) is equivalent to (7z + 6x) + 2
2(7z + 6x) is equivalent to 14z + 12x
9x + 3(4z + x) + 2z is equivalent to itself.
The diameter of a cone is 24
cm, and the slant height is 20 cm.
What is the volume of the cone?
a. 2,411.5 cm
b. 12,057.6 cm³
c. 3,014.4 cm³
d. 9,646.1 cm³
The volume of this cone is equal to: A. 2,411.5 cm³.
How to calculate the volume of a cone?Mathematically, the volume of a cone can be calculated by using this formula:
V = 1/3 × πr²√(l² - r²)
l represents the slant height.r represents the radius.Radius = diameter/2 = 24/2 = 12 cm.
Substituting the given parameters into the volume of a cone formula, we have;
Volume of a cone, V = 1/3 × 3.142(12)²√(20² - 12²)
Volume of a cone, V = 1/3 × 3.142(144)×√(400 - 144)
Volume of a cone, V = 2,411.5 cubic cm.
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The area of a triangle with base b and height h is
1
2
bh. Kari is designing silver earrings shaped like triangles. Each earring is 3 centimeters tall and has a base that is 2.5 centimeters long.
What is the area of one of Kari's earrings?
Answer:
3.75 cm²
Step-by-step explanation:
Area of a triangle = 1/2bh = 1/2(2.5)(3) = 3.75 cm²
Write an equation for the graph below in terms of x
Answer:
Step-by-step explanation:
terms1+1ofx
What is the sum of 6 of the interior angles of a regular decagon
The sum of the interior angles of a decagon is 1440 degrees.
What is meant by regular decagon?The inner angles of a normal decagon are equal. Every interior angle in a normal decagon is 144° in length because 1440°/10 = 144°. Additionally, each external angle measures 36°.
A decagon is a ten-sided polygon, or ten-gon, in geometry. A basic decagon's inner angles add up to 1440°, and its external angles add up to 360°.
A decagon is a polygon with ten sides, ten internal angles, and ten vertices, or points where the sides meet. There are 10 equal-length sides and 10 equal-sized interior angles in a normal decagon. The sum of all the angles, each of which is 144°, is 1,440°.
A decagon is a polygon having 10 sides.
The sum of interior angles of a polygon having 'n' sides is (2n- 4) × 90°.
sum of interior angles of a decagon= (204) × 90°
= 16 x 90°
= 1440°
Therefore, the sum of the interior angles of a decagon is 1440 degrees.
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140-100
Need help with this maths.
40
.
.
.
.
.
.
.
........
.
.
.
.
.
.
.
.
.
Answer:
Step-by-step explanation:
its 40
Can someone please help me out? Thanks I would appreciate it! :) I’ll give brainly
Answer:
Brand Z
Step-by-step explanation:
Set up all of them up as a fraction x/y where x is the fluid ounces and y is the cost.
Next, find the values of all the fractions and note them down.
Brand Z had the highest cost per fluid ounce of 2, and therefore is the correct answer.
Answer:
Brand w.
Step-by-step explanation:
First thing you want to do is divide your fluid ounces by your given cost. Which ever is greatest is your answer.
Brand w: 20/12.00 = 1.66
Brand x: 15/11.25 = 1.33
Brand y: 10/6.50 = 1.53
Brand z: 5/2.50 = 2.00
Brand w has the greastest price per fluid ounce compared to the rest of the brands.
what is the solution of this system of linear equations? 3y=3/2x+6 and 1/2y-1/4x=3
System Linear equation has no solution , because it is paralell lines but no intersection.
What is system linear equation?
An equation for a line is known as a linear equation. alternatively, y + 0.5x 3.5 = 0 and others. (Note that each linear equation is the same.) When multiple linear equations interact, we get a system of linear equations.
Here the given system linear equations,
[tex]3y=\frac{3}{2}x+6[/tex] -------> 1 and [tex]\frac{1}{2}y-\frac{1}{4}x=3[/tex] --------> 2
Divide by 3 of equation 1 on both sides then,
[tex]y=\frac{1}{2}x+2[/tex] -----------> 3
Now put 3 into 2 then,
=> [tex]\frac{1}{4}x+1-\frac{1}{4}x=3[/tex]
=> 1=3
Hence the given system equation has no solution , because it is paralell lines but no intersection.
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Write capital letters that are formed by three line segment.
Answer:
A F H I K N Z
are the capital letter formed by three line segments.
What is one solution of the following system?
Enlarged left-brace 1st row 2 y minus 2 x = 12 2nd row x squared + y squared = 36
(–6, 0)
(–2, 4)
(0, –6)
(4, –2)
One solution of the following system is:
A. (–6, 0)
What is the solution for the system?The above mathematical expression requires that we use the substitution formula to obtain the correct value.
2y - 2x = 12 ... 1
x² + y² = 36 ... 2
For equation 1
2y = 12 + 2x
2
y = 6 + x ... 3
Now we substitute equation 3 in equation 2
x² + (6 + x)² = 36
= x² + 36 + 12x + x² = 36
2x² + 12x = 36 -36
2x² + 12x = 0
2x (x + 6) = 0
x = 0, -6
When we substitute x for 0 in the third equation, we will have
y = 6 + 0 = 6
If we substitute x to be -6 in the third equation, we will arrive at
y = 0.
Therefore, the two solutions that can be obtained are (0,6) and (-6,0) as seen in the first option.
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NO LINKS!! Part 2
Find an exponential function in y = ab^x form that satisfies the given information
c. Passes through the points (2, 20) and (7, 640)
d. passes through (0, 6) and (3, 48)
e. passes through (1, 21) and (2, 147)
Answer:
[tex]\text{c)} \quad y=5(2)^x[/tex]
[tex]\text{d)} \quad y=6(2)^x[/tex]
[tex]\text{e)} \quad y=3(7)^x[/tex]
Step-by-step explanation:
[tex]\boxed{\begin{minipage}{9 cm}\underline{General form of an Exponential Function}\\\\$y=ab^x$\\\\where:\\\phantom{ww}$\bullet$ $a$ is the initial value ($y$-intercept). \\ \phantom{ww}$\bullet$ $b$ is the base (growth/decay factor) in decimal form.\\\end{minipage}}[/tex]
Part (c)Given points:
(2, 20)(7, 640)Substitute the given (x, y) points into the exponential function formula to create two equations:
[tex]\implies 20=ab^2[/tex]
[tex]\implies 640=ab^7[/tex]
Divide the second equation by the first equation to eliminate a:
[tex]\implies \dfrac{640}{20}=\dfrac{ab^7}{ab^2}[/tex]
[tex]\implies 32=\dfrac{b^7}{b^2}[/tex]
Solve for b:
[tex]\implies 32=b^7 \cdot b^{-2}[/tex]
[tex]\implies 32=b^{7-2}[/tex]
[tex]\implies 32=b^5[/tex]
[tex]\implies b=2[/tex]
Substitute the found value of b into one of the equations and solve for a:
[tex]\implies 20=a \cdot 2^2[/tex]
[tex]\implies 20=4a[/tex]
[tex]\implies a=5[/tex]
Substitute the found values of a and b into the exponential function formula:
[tex]\implies y=5(2)^x[/tex]
---------------------------------------------------------------------------------------
Part (d)Given points:
(0, 6)(3, 48)As a is the y-intercept, a = 6.
Substitute the point (3, 48) and the found value of a into the exponential function formula and solve for b:
[tex]\implies 48=6b^3[/tex]
[tex]\implies 8=b^3[/tex]
[tex]\implies b=2[/tex]
Substitute the found values of a and b into the exponential function formula:
[tex]\implies y=6(2)^x[/tex]
---------------------------------------------------------------------------------------
Part (e)Given points:
(1, 21)(2, 147)Substitute the given (x, y) points into the exponential function formula to create two equations:
[tex]\implies 21=ab^1[/tex]
[tex]\implies 147=ab^2[/tex]
Divide the second equation by the first equation to eliminate a:
[tex]\implies \dfrac{147}{21}=\dfrac{ab^2}{ab^1}[/tex]
[tex]\implies 7=\dfrac{b^2}{b^1}[/tex]
Solve for b:
[tex]\implies 7=b^2 \cdot b^{-1}[/tex]
[tex]\implies 7=b^{2-1}[/tex]
[tex]\implies 7=b^1[/tex]
[tex]\implies b=7[/tex]
Substitute the found value of b into one of the equations and solve for a:
[tex]\implies 21=7a[/tex]
[tex]\implies a=3[/tex]
Substitute the found values of a and b into the exponential function formula:
[tex]\implies y=3(7)^x[/tex]
Help
Last week, the price of a gallon of gasoline was `g` dollars.
This week, the price of gasoline per gallon increased by `5\%`.
Select all of the expressions that represent this week's price of gasoline per gallon.
A. g+ 0.05
B. g + 0.05g
C. 1.05g
D. 0.05g
F. (1 + 0.05) g
A country has a population of 11.3 million. There were 4,172 new construction accidents (deaths) in 2015.
Express the deaths per capita as a decimal. Round to 6 decimal places.
Express the deaths per capita in Scientific Notation.
Express the deaths per capita as a per 100,000 value and use this value in a sentence.
Answer:
To express the deaths per capita as a decimal, we can divide the number of new construction accidents (deaths) by the population:
4172/11300000 = 0.00037
Rounded to 6 decimal places, the deaths per capita as a decimal is 0.00037
To express the deaths per capita in scientific notation, we can use the decimal value found above and convert it to scientific notation:
3.7 x 10^-4
To express the deaths per capita as a per 100,000 value, we can multiply the decimal value by 100,000:
0.00037 * 100,000 = 37
So the deaths per capita are 37 deaths per 100,000 people.
Step-by-step explanation:
Simplify: *
4(1/2+5/4)+ -5
Step-by-step explanation:
commn this number agen division
11 over 4 as a mixed fraction
Answer:
2 3/4
Step-by-step explanation:
11-4=7-4=3 there is 4 twice and 3 remaining making 2 and 3/4
Answer: 2 3/4
Step-by-step explanation: To convert 11/4 in a mixed fraction, we will divide 11 by 4.
When 11 is divided by 4, the quotient is 2, the remainder is 3 and the divisor is 4.
After getting the new numerator, simplify and the fraction that will give us the final answer in the mixed number form.
Hence, 11/4 can be written as a mixed number, 2 3/4.
Write an equation for the proportional relationship.
X
26
8
12
O y=12x
Oy=3x
Oy-2/6x
Oy=1/3x
y
6
18
24
36
The equation for the proportional is y= 3x.
The correct option is (B).
What is Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressionsprinted on the left and right sides.
LHS = RHS is a common mathematical formula.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given:
Points taken as (2, 6) and (6, 18).
So, the slope is
slope = (18-6)/ (6-2)
slope = 12 /4
slope= 3
and, the equation of line is
y- 6 = 3(x- 2)
y-6 = 3x - 6
y= 3x
Hence, the equation is y= 3x.
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Fiona and her brother Gary love making paper airplanes. The table below shows the amount of planes they made on Saturday. Fiona Gary Morning Afternoon 12 3 8 1 Which numerical expression shows the diference between how many planes Fiona made and Gary made?
The numerical expression which shows the diference between how many planes Fiona made and Gary mmade is (12 - 8) - (3 - 1).
The correct answer choice is option A
How to determine numerical expression?Morning Afternoon 12 3 8 1
Fiona. 12 3
Gary. 8 1
The diference between how many planes Fiona made and Gary made;
Morning = 12 - 8
Afternoon = 3 - 1
The difference between how many planes Fiona made and Gary made for both morning and afternoon = (12 - 8) - (3 - 1)
= 4 - 2
= 2
Therefore, the expression which represents the difference between how many planes Fiona made and Gary made is (12 - 8) - (3 - 1)
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what is the greatest possible error of 4700
The greatest possible error of 4700 is equal to 2,350.
What is precision?In Mathematics, precision can be defined as a quality which is independent of accuracy because it only describes how close together are numerical values that are obtained in a series of measurements.
What is the greatest possible error (GPE)?In Mathematics, the greatest possible error (GPE) of a measurement can be defined as one-half of the value of a given smallest measuring unit, or one-half of a given precision.
This ultimately implies that, the greatest possible error (GPE) of a measurement can calculated by dividing the precision by two and this is represented by this mathematical expression;
Greatest possible error (GPE) = precision/2
Greatest possible error (GPE) = 4700/2
Greatest possible error (GPE) = 2,350.
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Find the surface area.
8 ft
8 ft
5 ft
Answer:
I think the answer is 288.
Step-by-step explanation:
if t=2 and a=4, calculate the fourier series coefficients (integers)
The Fourier series coefficients for T-2 and A-4 are Ao = 2, B(n-odd) = 0, and B(n-even) = -(4/nπ). The Fourier series for the function is then given by:Y(t) = A0 + ΣB(n)cos(nπt/T) + ΣB(n)
The Fourier series coefficients are used to determine the Fourier series of a given function. The Fourier series is an infinite series of sines and cosines which, when summed, gives an approximation of the original function.
The coefficients are determined by integrating the function over a period and solving for the coefficient of each term.
The coefficients for the function T-2 and A-4 are determined by first calculating the period of the function. The period of the function is T=4. The coefficients are then calculated by integrating the function from 0 to T and solving for each coefficient. The coefficients for T-2 and A-4 are then calculated as follows:
A0= 2
B(n-odd) = 0
B(n-even) = -(4/nπ)
Therefore,
Y(t) = A0 + ΣB(n)cos(nπt/T) + ΣB(n)
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The correct question should be: If T-2 And A-4, Calculate The Fourier Series Coefficients (Integers) Ao B (N-Odd) B (N-Even)- (N-1,2,3,..) Such That: Y(T)-A0 + ?
A person rides a Ferris wheel that turns with constant angular velocity. Her weight is 520.0 N. At the top of the ride her apparent weight is 1.5N different from her true weight. (a) Is her apparent weight at the top 521.5N or 518.5N Why? (b) What is her apparent weight at the bottom of the ride? (c) If the angular speed of the Ferris wheel is what is its radius?
(a) At the top of the ride, her apparent weight is 518.5 N. This is because, at the top of the ride, the centripetal force acting on her is directed towards the center of the Ferris wheel, which acts in opposition to her weight. Since her weight is 520 N, and the centripetal force is 1.5 N, the net force acting on her is 518.5 N.
Apparent weight, also known as effective weight or net weight, is the weight that an object appears to have when it is in motion. It is the force that an object feels as a result of a combination of its true weight and any additional forces acting on it, such as the centripetal force.
(b) At the bottom of the ride, her apparent weight is 520.5 N. This is because, at the bottom of the ride, the centripetal force acting on her is in the same direction as her weight, so the net force acting on her is the sum of her weight and the centripetal force.
(c) The radius of the Ferris wheel can be determined using the formula v^2 = r * g, where v is the angular velocity, r is the radius and g is the acceleration due to gravity. Given that angular speed and the apparent weight is known, you can use this formula to find the radius.
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what is the answer ????????
Answer:nitrogine
Step-by-step explanation:
Answer:
Nitrogine. because all the others are in it