A movie is not a real image, it is a series of still images or frames that are played back in rapid succession to create the illusion of motion.
Real images are those that are formed by light that has been refracted or reflected by an object or lens. These images are located on the same side of the lens as the object and can be projected onto a screen or viewed directly.
In movie, the images are typically captured on film or digitally and then played back on a screen at a high frame rate (usually 24 or 30 frames per second) to create the illusion of motion.
This is known as the persistence of vision effect. The images are not actually moving, but the human eye and brain perceive them as moving because of the rapid succession of still images.
In conclusion, a movie is not a real image, it is a series of still images played back in rapid succession to create the illusion of motion.
Real images are formed by light that has been refracted or reflected by an object or lens, whereas in movie the images are captured on film or digitally and then played back on a screen at a high frame rate to create the illusion of motion.
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In Ms. Rickets’ math class, students made a “polygon path” that consists of regular polygons of 3, 4, 5, and 6 sides joined together as shown.
All the angles from the polygon path made by the students are;
∠1 = 96°
∠2 = 90°
∠3 = 162°
∠4 = 132°
∠5 = 60°
How up illustrate the polygon?The images of the polygon are missing and so i have attached them. From the attached image, we can see we have;
Triangle (3-sided polygon)
Square (4-sided polygon)
Pentagon (5-sided polygon)
Hexagon (6 sided polygon)
Now, we know that formula for external angle of a polygon with n sides is 360/n.
Thus, for the 6-sided polygon, the ∠5 = 360/6
∠5 = 60°
Since ∠4 is shared by the pentagon and hexagon, then;
∠4 = (360/5) + 60
∠4 = 72° + 60°
∠4 = 132°
Since ∠3 is shared by the square and pentagon, then;
∠3 = 90 + 72
∠3 = 162°
∠2 = 90° because external angles of a square = 360/4 = 90°
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Which trigonometric ratios are correct for triangle abc? select three options. Sin(c) = cos(b) = tan(c) = sin(b) = tan(b) =.
The correct ratios are
sin(C) = [tex]\frac{\sqrt{3} }{2}[/tex] , tan(C) =[tex]\sqrt{3}[/tex] , sin(B) = [tex]\frac{1}{2}[/tex]
Consider the below figure attached to this question.
In triangle ABC, ∠A=90°, ∠B=30° and ∠C=60°, AC=9 and BC=18.
Using Pythagoras' theorem we get
hypotenuse² = perpendicular² + base²
BC² = AB² + AC²
⇒(18)² = AB² + 9²
⇒324 - 81 = AB²
Taking square root on both sides.
⇒√243 = AB
∴ √3 =AB
Trigonometric ratios are
[tex]sin(C) = \frac{opposite}{hypotenuse} = \frac{AB}{BC} = \frac{9\sqrt{3} }{18} =\frac{\sqrt{3} }{2}[/tex]
[tex]cos(B) = \frac{base}{hypotenuse} = \frac{AB}{BC} = \frac{9\sqrt{3} }{18} =\frac{\sqrt{3} }{2}[/tex]
[tex]tan(C) = \frac{opposite}{basee} = \frac{AB}{AC} = \frac{9\sqrt{3} }{9} =\sqrt{3}[/tex]
[tex]sin(B) = \frac{opposite}{hypotenuse} = \frac{AC}{BC} = \frac{9 }{18} =\frac{1}{2}[/tex]
[tex]tan(B) = \frac{opposite}{base} = \frac{AC}{AB} = \frac{9 }{9\sqrt{3} } =\frac{1 }{\sqrt{3} }[/tex]
Therefore, the correct ratios are
sin(C) = [tex]\frac{\sqrt{3} }{2}[/tex] , tan(C) = [tex]\sqrt{3}[/tex] , sin(B) =[tex]\frac{1}{2}[/tex]
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The complete question is:
Which trigonometric ratios are correct for triangle ABC? Select three options.
1. sin(C) = StartFraction StartRoot 3 EndRoot Over 2 EndFraction
2. cos(B) = StartFraction StartRoot 2 EndRoot Over 3 EndFraction
3. tan(C) = StartRoot 3 EndRoot sin(B) = One-half
4. tan(B) = StartFraction 2 StartRoot 3 EndRoot Over 3 EndFraction.
Giselle spent $18.72 on supplies to make friendship bracelets. She plans to sell the bracelets, b, for $1 each. Write an algebraic expression to show Giselle's profit.
The algebraic formula to represent Giselle's profit is $b*1 - $18.72, or $b - $18.72, where $18.72 is spent on supplies.
what is expressions ?A statement that contains at least two numbers or variables, along with at least one mathematical operation, is referred to as a mathematical expression. Any one of the following mathematical operations could be used: addition, subtraction, multiplication, or division. The following are an expression's fundamental parts: : (Number/Variable, Math Operator, Number/Variable). A statement that includes at least two numbers or variables, at least one mathematical operation, and the word "expression" is referred to as a mathematical expression. Let's review expressive writing. The alternative number, which is known as x, is 6 more than half of the given number. This sentence is denoted by the phrase x/2 + 6 in mathematics.
given
number of bracelets = b
profit = $b*1 - $18.72
The algebraic formula to represent Giselle's profit is $b*1 - $18.72, or $b - $18.72, where $18.72 is spent on supplies.
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4x - 6y = 14
3x + y = 27
find x and y
Answer:
Step-by-step explanation:
What is the equation of the line that passes through the point (4,-8)(4,−8) and has a slope of -2−2?
On solving the provided question we can say that by coordinates- (4,-8)(4,−8) ; y - y1 = m(x-x1) => y - x 12 = 0
what are coordinates?A coordinate system in geometry is a method that employs one or more integers or coordinates to identify the precise placement of points or other geometrical objects on a manifold, such as Euclidean space. Pairs of integers called coordinates are used to locate a point or object on a two-dimensional plane. The position of a point on a 2D plane is described by two integers known as the x and y coordinates. a group of numbers that represent precise positions. Usually, there are two numbers in the figure. The front-to-back distance is represented by the first number, while the top-to-bottom distance is represented by the second number. like in (12.5), when there are 12 units below and 5 above.
by coordinates-
(4,-8)(4,−8)
y - y1 = m(x-x1)
y +8 = x - 4
y - x 12 = 0
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8. The new United States needed a way to
borrow money for its government, its industrial
and its commercial activity.
development,
O True
O False
Answer:
Step-by-step explanation:
true
Answer: True.
Step-by-step explanation: The new United States needed a way to borrow money for its government, its industrial development, and its commercial activity.
What is the perimeter of a 5 cm pentagon?
A 5 cm pentagon has a perimeter of 25 cm.
What is perimeter?A perimeter is a closed route that covers, surrounds, or outlines a two-dimensional form or length. The circumference of a circle or an ellipse is its perimeter. There are various practical applications for calculating the perimeter. The perimeter of a thing is the distance surrounding it. Your house, for example, has a fenced-in yard. The perimeter of the barrier is its length. A perimeter is the length of a two-dimensional shape's border. It is sometimes defined as the total of the lengths of all the object's sides. The perimeter of such form is the algebraic sum of the lengths of each side. We have formulae for the various geometric forms.
Here,
side of pentagon=5 cm
perimeter of pentagon=5*side
=5*5
=25 cm
The perimeter of a 5 cm pentagon is 25 cm.
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What is the center of the following hyperbola?
(x-3)² (y + 2)²
49
A (2,7)
B (-3,2)
C
c (7,2)
D (3,-2)
Answer:
Step-by-step explanation:
The center of a hyperbola is located at the point where the two foci (focii) are located. In this case, the center of the hyperbola is located at point (3,-2), which is option D.
What do you mean by latitude and longitude Class 7?
Horizontal lines called latitudes are used to measure distances north or south of the equator. Vertical lines known as longitudes are used to determine the west or east of the meridian in Greenwich, England. Latitude and longitude work together to help cartographers, geographers, and others find specific locations on the globe.
What is the uses of latitude?Any location's distance from the equator may be determined using its latitude, which is based on its degree. We can locate any point on Earth using longitude and latitude. The GPS or Global Positioning System uses these coordinates.
The grid system that enables us to locate absolute or precise places on the surface of the Earth is made up of latitude and longitude. Latitude and longitude can be used to pinpoint certain locations. Landmark identification also benefits from knowledge of latitude and longitude.
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A baker ha 85 cup (c) of flour to make bread. He ue 6 1/4 c of flour for each loaf of bread
The baker can make 13 loafs of bread using 85 cups of flour using 6 1/4 c of flour for each loaf of bread.
A fraction is written in the form of p/q, where q ≠ 0.
Fractions are of two types they are proper fractions in which the numerator is smaller than the denominator and improper fractions where the numerator is greater than the denominator.
A baker has 85 cups (c) of flour to make bread she uses 6 1/4 c of flour for each loaf of bread.
Now, The fraction 6 1/4 can be written as 25/4.
Therefore, The number of bread loaf the baker can make is,
= (85/25/4).
= 85×(4/25).
= (17×4)/5.
= 68/5.
= 65/5 + 3/5.
= 13 + 3/5.
So, he can make 13 bread loafs.
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a Ferris wheel has a radius of 65 ft what is the circumference of the circle ( this would be the distance traveled by a passenger in one full rotation of the Ferris wheel use pi equals 3
never mind it equals 390 ft because C= 2 x 3 x 65 witch equals 390 ft
The circumference of the Ferris is 408.2 ft.
What is the circumference?We know that the circumference can be described as the distance round the circle. We have to note that the radius of the feriis would be very important as we try to obtain the circumference of the ferris.
We can see that the radius of the Ferris as is clear from the question that we have here is 65 ft. When the circumference can be gotten from the use of;
C = 2πr
Where r = radius and C = circumference
Thus;
C = 2 * 3.14 * 65
C = 408.2 ft
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The radio of ducks to swans is 4:5 there are
45. Animals in all how many ducks are there.
Answer:
20 ducks
Step-by-step explanation:
4+5=9
4/9:x/45
9*5=45
4*5=20ducks
How do you factor polynomials with roots?
By setting y = 0 and factoring, we can determine the roots of other polynomial functions. Because there is only one value of x for which x - 3 = 0 and no values of x for which x2 + 3x + 9 = 0.
what are polynomials?A mathematical expression made up of coefficients and uncertainty that only makes use of additions, subtractions, multiplications, and positive integer powers of variables is known as a polynomial. The formula x2 4x + 7 denotes a single indeterminate x polynomial. An expression in mathematics known as a polynomial is made up of variables (also known as indeterminates) and coefficients that may be added, subtracted, multiplied, and raised to negative integer powers of non-variables. An algebraic statement with variables and coefficients is called a polynomial. An expression can only contain the operations addition, subtraction, multiplication, and non-negative integer exponents. Polynomials are the name for these expressions.
By setting y = 0 and factoring, we can determine the roots of other polynomial functions. Because there is only one value of x for which x - 3 = 0 and no values of x for which x2 + 3x + 9 = 0, the equation y = x3 -27 = (x - 3)(x2 +3x2 + 9) has only one root (x = 3). (the discriminant is negative).
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2. The rectangle below has a perimeter (distance around the rectangle) of 88 feet. How long are the sides? Show your work.
The length and width of the rectangle with 88 feet perimeter are 33 feet and 11 feet respectively
What is an equation?An equation is used to show the relationship between numbers and variables.
The perimeter of a shape is the sum of the distance along its sides. For a rectangle:
Perimeter = 2(length + width)
Let L represent the length and W represent the width of a rectangle with a perimeter of 88 feet
If the length of the rectangle is 3 times its width, hence:
L = 3W
Perimeter = 2(L + W)
88 = 2(L + W)
But L = 3W:
88 = 2(3W + W)
44 = 3W + W
4W = 44
W = 11 feet
L = 3W = 3(11) = 33 feet
The length and width are 33 feet and 11 feet respectively
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Determine the t critical value for a two-sided confidence interval in each of the following situations:
a. Confidence level = 95%, df = 10
b. Confidence level = 95%, df = 15
c. Confidence level = 99%, df = 15
d. Confidence level = 99%, n = 5
e. Confidence level =98%, df = 24
f. Confidence level = 99%, n = 38
The t critical value for a two-sided confidence interval in each of the following situations:
a. Confidence level = 95%, df = 10, t critical value = 1.812
b. Confidence level = 95%, df = 15, t critical value = 1.753
c. Confidence level = 99%, df = 15, t critical value = 2.602
d. Confidence level = 99%, n = 5, t critical value = 3.365
e. Confidence level = 98%, df = 24, t critical value = 2.306
f. Confidence level = 99%, n = 38, t critical value = 2.821
The t-critical value is a value that is used to determine the margin of error in a two-sided t-test with a given level of confidence and degrees of freedom. The t-critical value can be looked up in a t-table, or calculated using a t-distribution calculator.
It is important to note that for a small sample size (n<30) t-distribution is used instead of the normal distribution, in that case, the degrees of freedom is n-1 and the t-critical value is different than the one calculated with degrees of freedom.
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Rachna ha nickel, dime, and quarter in her piggy bank. She ha $4. 65 altogether. She ha three more quarter han dime and twice a mahy nickel a quarter. How many quarter doe Rachna have?
Rachel has 0.41 quarters that can be obtained using the equation Q + D + N = T.
We can start by using the following equation to find the number of quarters Rachel has: Q + D + N = T
Where Q is the number of quarters, D is the number of dimes, N is the number of nickels, and T is the total amount of money in dollars. We know that T is $4.65, and we know that Rachel has twice as many nickels as quarters, and three more quarters than dimes.
Let's assume that Rachel has x number of quarters
So we can write the above equation as:
x + (x+3) + 2x = 4.65
4x+3 = 4.65
4x = 1.65
x = 0.4125
Rachel has 0.4125 quarters, Which is not possible as it is a decimal. So we need to round it off to the nearest whole number.
Rachel has 0.4125 quarters which is equivalent to o.41 quarters.
Therefore, Rachel has 0.41 quarters that can be obtained using the equation Q + D + N = T.
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Help with part a.
picture shown below
A conclusion or a hypothesis presented on an unproven foundation in mathematics is referred to as a conjecture, conjectures 6,it is divisible by 2,4,9,12.
What kind of hypothesis is this, for instance?An opinion or a conclusion drawn from incomplete information is referred to as a hypothesis in the English language. It is interchangeable with verbs and nouns. A hypothesis could be accurate or inaccurate. For instance, if a person is seen on the street, they can have an opinion about how old they are.A conclusion or a hypothesis presented on an unproven foundation in mathematics is referred to as a conjecture.speculation (about anything) (about something) What the murderer was thinking is entirely speculative in our opinion. Think that... In his estimation, in ten years, the population may double. speculative in nature She speculated that a brand-new species might exist.Therefore the result is 6,it is divisible by 2,4,9,12.
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Use the origin as the center of dilation and the given scale factor to find the coordinates of the vertices of the image of the polygon.
K = 1/2
The vertices of the polygon in the graph have co-ordinates as J(6,3) K(2,3) L(2,-3) M(6,-3)
What are polygons?In geometry, a polygon is a plane figure that is described by a finite number of straight line segments connected to form a closed polygonal chain.
Given here: A polygon JKLM
From the graph we can observe the co-ordinates as J(6,3) K(2,3) L(2,-3) M(6,-3)
Hence, the vertices of the polygon in the graph have co-ordinates as J(6,3) K(2,3) L(2,-3) M(6,-3)
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What is the quotient StartFraction 15 p Superscript negative 4 Baseline q Superscript negative 6 Baseline Over negative 20 p Superscript negative 12 Baseline q Superscript negative 3 Baseline EndFraction in simplified form? Assume p not-equals 0, q not-equals 0.
Negative StartFraction 3 p Superscript 8 Baseline Over 4 q cubed EndFraction
Negative StartFraction 3 Over 4 p Superscript 16 Baseline q Superscript 9 Baseline EndFraction
Negative StartFraction p Superscript 8 Baseline Over 5 q cubed EndFraction
Negative StartFraction 1 Over 5 p Superscript 16 Baseline q Superscript 9 Baseline EndFraction
The quotient of the fraction is -3/4 * p²/q²
What is quotient?We should know that when a number is divided by another number, the result is the quotient of the number
We have to find the quotient of the following division, -3/4 * p²/q²
This implies that (15p⁻⁴q⁻⁶)/(-20p⁻¹²q⁻³)
Now, (15p⁻⁴q⁻⁶)/(-20p⁻¹²q⁻³) will give
3/4p[(⁻⁴(⁻¹²)]q²(⁻⁶-(⁻³)]
We know that all the terms in the expression are in product form, so we can treat them separately}
Hence we know the property of exponent as aˣ/aᵇ=a(ᵇ⁻ˣ]
Hence this implies that -3/4 * p⁶/q²
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On a negatively skewed curve, which of the following statements is true?
a. The mean, median, and mode is the same.
b. The mode is lower than the mean which is lower than the median.
c. The median is lower than the mode which is lower than the mean.
d. The mean is lower than the mode which is lower than the median.
e. The mean is lower than the median which is lower than the mode.
Answer:
The mean is lower than the median which is lower than the mode.
Step-by-step explanation:
at sandwich shop sally can choose turkey or ham on a sandwich in addition she can choose from 5 different types of cheese if she randomly selects 1 type of meat and 1 type of cheese how many possible choices does she have.
Answer:
7
2 meats + 5 cheeses
= 7 choices
how to solve 3x+5<14
Answer:
x<3
Step-by-step explanation:
3x+5<14
Your first step is to simplify the inequality.
To do this, always look to see if you can subtract any numbers from both sides to isolate a variable.
You can subtract 5 from both sides to isolate the 3x on one side.
After that, you will get 3x<9
Next, you must divide both sides by 3 to try and get x by itself, completing the inequality.
9/3 = 3
Your are left with: x<3
Done!
Answer:
x < 3
Step-by-step explanation:
3x + 5 < 14 subtract 5 from both sides
3x + 5 - 5 < 14 - 5
3x < 9 Divide both sides by 3
[tex]\frac{3x}{3}[/tex] < [tex]\frac{9}{3}[/tex]
x < 3
What are the 3 notations for domain and range?
Set-builder notation: {x | x ∈ D} (where D is the domain) and {y | y ∈ R} (where R is the range), Interval notation: (a, b) (where a and b are the minimum and maximum of the domain) and [c, d] (where c and d are the minimum and maximum of the range) , Graphical notation: The domain and range are represented by a graph.
Set-builder notation is a way of representing the domain and range of a function. It uses curly brackets surrounding the domain and range variables, separated by a vertical bar. The form is {x | x ∈ D} (where D is the domain) and {y | y ∈ R} (where R is the range). This notation is useful when the domain and range are not easily written as a set of numbers.
Interval notation is another way of representing the domain and range of a function. It uses parentheses to represent the domain and square brackets to represent the range. The form is (a, b) (where a and b are the minimum and maximum of the domain) and [c, d] (where c and d are the minimum and maximum of the range). This notation is useful when the domain and range are quickly written as a set of numbers.
Graphical notation is a third way of representing the domain and range of a function. In this case, the domain and range are represented by a graph, with the x-axis representing the domain and the y-axis representing the range. This notation is useful when visualizing the relationship between the domain and range of a function.
Set-builder, interval, and graphical notations are all ways of representing the domain and range of a function. Set-builder notation is useful when the domain and range are not easily written as a set of numbers, while interval notation is useful when the domain and range are quickly written as a set of numbers. Graphical notation is useful when visualizing the relationship between the domain and range of a function.
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Polygon PQRST has vertices P(–4, 3), Q(1, 3), R(2, –3), S( 5, –3), and T(-7, -1). To the nearest tenth of a unit, what is the perimeter of the polygon?
perimeter = _____ Units
The perimeter of the polygon is 29.43
What are polygons?Polygon, in geometry, any closed curve consisting of a set of line segments (sides) connected such that no two segments cross. The simplest polygons are triangles (three sides), quadrilaterals (four sides), and pentagons (five sides).
Given here: P(–4, 3), Q(1, 3), R(2, –3), S( 5, –3), and T(-7, -1).
PQ=[tex]\sqrt{(1+4)^{2} +(3-3)^{2} }[/tex] =5
QR=[tex]\sqrt{1^{2} +9^{2} }[/tex] =9.055
similarly we can calculate the distance of the other edges and the perimeter of the polygon can be found out as PQ+QR+RS+ST+PT=29.43
Hence, The perimeter of the polygon is 29.43
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Can someone help me please? I will give brainliest (if possible)
Correct option is D, To satisfy triangle inequality theorem, 4 < c < 42.
Triangle inequality is a theorem in Euclidean geometry that states any two triangle sides added together must be greater than or equal to the third side; it is represented by the symbols a + b c.
The basic tenet of the theorem is that a straight line connects any two places.
According to the triangle inequality theorem, any two sides' sums in a triangle must be bigger than the length of the third side.
If a, b, and c are the lengths of a triangle's sides, then the sum of a and b's lengths is greater than c's length. Similar to how a+ c > b, b + c > a.
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A cookie recipe states for every 3 cups of flour, 1 1/2 teaspoon of vanilla are needed how many teaspoons are needed for 5 cups of flour
Answer:
Step-by-step explanation:
2
Five times the difference of twice a number and three is twenty-five. What is the number?
The value of the number in the statement is 8
How to determine the value of the numberFrom the question, we have the following parameters that can be used in our computation:
A mathematical statement represented as
Five times the difference of twice a number and three is twenty-five
Represent the number with x
So, we have
Five times the difference of twice x and three is twenty-five
When represented as an equation, we have
5(x - 3) = 25
Divide both sides by 5
This gives
x - 3 = 5
Add 3 to both sides
x = 8
Hence, the number is 8
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A^15 • a^4 is equal to a^n. What is n
Therefore , the solution of the given problem of expressions comes out to be n= 19.
Definition of expressionsAddition, subtraction, division, and the term multiply are examples of numerical computations that are possible. The words are arranged as follows: An equation, a calculator, and an integer or variable A mathematical expression is mainly composed of constants, numbers, and processes (such as additions, subtraction, multiplying, or dividing, etc.). Contradictory claims or expressions and variable are possible.
Here,
Given : a^15.a^4
to find a^n
thus,
=>a^15.a^4 = a^n
=> a^(15+4) = a^n
=> a^19 = a^n
So, on comparing above expression
We get ,
n= 19
thus , n=19 is the solution for this problem
Therefore , the solution of the given problem of expressions comes out to be n= 19.
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Solve for X. X can be positive, negative, whole number or decimal.
The value of x in the angle is -6
What is the value of x?Here, m ∠A = 86°m ∠B = (x +53)°
m ∠C = (x +53)°
An isosceles triangle always has three angles that add up to 180° degrees.2 (x + 53) + 86 = 180
2x + 106 + 86 = 180
2 x + 192 = 180
2x = 180- 192
2x = -12
x = -6
What is an isosceles triangle?An isosceles triangle always has three angles that add up to 180 degrees.Triangles that have at least two sides of equal length are said to be isosceles. Triangles are three-sided enclosed polygons, and depending on how long their sides are, they can be categorized as equilateral, isosceles, or scalene.The base and the apex angle are divided by the perpendicular from the apex angle.The isosceles triangle is divided into two congruent triangles by the perpendicular, which is sometimes referred to as its line of symmetry.An isosceles triangle has two equal sides, known as the legs, and an angle between them, known as the vertex angle or apex angle.The base is the side directly across from the vertex angle, and base angles are equal.To learn more about isosceles triangle, refer:
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How do you find the height of an obtuse angle?
To find the height of an obtuse angle in a triangle, you can use the following steps:
Identify the obtuse angle in the triangle.Draw the altitude from the vertex of the obtuse angle to the hypotenuse.The altitude forms a right triangle with the hypotenuse as the base and the altitude as the height of the obtuse angle.Use the Pythagorean theorem to find the length of the altitude. The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides.It is important to note that the hypotenuse of the right triangle (the base) must be the side opposite to the obtuse angle, and the other two sides should be the legs of the triangle. Also, the altitude can fall inside or outside of the triangle, it does not affect the calculation of the height.
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