The perimeter of the rectangle is 13x+7 feet
What is the area of the rectangle?The formula for area is equal to the product of the length and breadth of the rectangle. Whereas when we speak about the perimeter of a rectangle, it is equal to the sum of all its four sides.
Given here: The width of a rectangle is 5x-1.5 feet and the length is 1.5x+5 feet. Therefore the perimeter of the rectangle is given by
= 2(5x-1.5+1.5x+5)
=2(6.5x+3.5)
= 13x+7
Hence, The perimeter of the rectangle is 13x+7 feet
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Find the mean, variance and standard deviation for the probability distribution given below:
X -1 3 9 12
P(X) 0.587 0.115 0.21 0.088
A. Mean = B. Variance = C. Standard Deviation =
The mean, variance, and standard deviation for the probability distribution given are A. Mean = 5.5; B. Variance = 13.875; C. Standard Deviation = 3.722.
The mean, variance and standard deviation of the probability distribution can be calculated using the formula. The mean is calculated by summing up the product of all the values and their respective probabilities and then dividing it by the total probability. In this case, the mean is calculated as:
(1*0.587 + 3*0.115 + 9*0.21 + 12*0.088)/(0.587 + 0.115 + 0.21 + 0.088) = 5.5.
The variance is calculated by summing up the product of the squares of the values and their respective probabilities and then dividing it by the total probability. In this case, the variance is calculated as:
(1^2*0.587 + 3^2*0.115 + 9^2*0.21 + 12^2*0.088)/(0.587 + 0.115 + 0.21 + 0.088) = 13.875.
The standard deviation is the square root of the variance and it is calculated as √13.875 = 3.722.
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Drag each tile to the correct box. Arrange the steps in the correct order to solve this trigonometric equation3 sin 2 ( x )
For a trigonometric equation. Cos^2x=3sin^2x, the solution is mathematically given as x = π/6 + 2nπ.
What is trigonometry?Trigonometry is the study of angles and the angular connections of planar and three-dimensional shapes. Trigonometry is made up of trigonometric functions (also known as circle functions) such as cosecant, cosine, cotangent, secant, sine, and tangent.
What is the solution of the trigonometric equation?Generally, the equation for the trigonometric equation is mathematically given as:
Cos^2x=3sin^2x
Therefore
1 - sin^2(x) = 3 sin^2(x)
1/4 = sin^2(x)
Hence introducing \pi
x = arcsin(1/2) + 2nπ
x = π/6 + 2nπ
In conclusion,
x = π/6 + 2nπ
For a trigonometric equation. Cos^2x=3sin^2x, the solution is mathematically given as x = π/6 + 2nπ.
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A standard deck of 52 cards has 13 ranks (Ace, 2, 3, 4, 5, 6, 7, 8, 9, 10, Jack, Queen, King) and 4 suits ($\spadesuit$, $\heartsuit$, $\diamondsuit$, and $\clubsuit$), such that there is exactly one card for any given rank and suit. Two of the suits ($\spadesuit$ and $\clubsuit$) are black and the other two suits ($\heartsuit$ and $\diamondsuit$) are red. The deck is randomly arranged. What is the probability that the top card is a $\heartsuit$
The probability that the top card is a suit of heart as calculated from the data given is found to be 4 / 663.
We are given that ,
The number of cards in the deck = 52
Number of 3's in the deck = 4
Number of 8's in the deck = 4
As because all the card deck's have 4 cards of same number in different suits.
Probability is calculated as ,
P = required outcome / Total possible outcomes
Therefore, when we can choosing cards without replacing them we get,
P(top card is a 3) = 4 / 52
P(second being 8) = 4 / 51
P(top card is a 3 and second 8)
=4/52 x 4/51
= 16 / 2652
= 4 / 663.
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What is the mirror image of 2 5 in y-axis?
The mirror image of (2,5) in y-axis is (-2,5)
The term mirror image of the point is a reflected duplication that appears identical but in reverse.
Here we have given point is (2, 5).
And we have to find the mirror image of this point with respect to the y-axis that is the mirror image is a point whose distance is same from the origin O (0, 0) and same from both axes as of the point (2, 5) is.
As we all know that (2, 5) lies on the first quadrant, then the mirror image with respect to the y-axis must lie on the second quadrant.
And we all also know that In second quadrant, here the x-coordinate of any point (x, y) is negative.
Therefore, while we looking into the given graph we have identified that the mirror image is (- 2, 5).
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?
Kadeesha left her house at time zero and drove for 3 minutes to the store, at a speed
of 1 blocks per minute. Then she stopped and went into the store for 3 minutes. From
there, she drove in the same direction at a speed of 2 blocks per minute until she got
to the bank, which is 6 blocks away from the store. She stopped at the bank for 5
minutes. Then she drove home at a speed of 3 blocks every minute. Make a graph of
showing the number of blocks away from home that Kadeesha is a minutes after she
leaves her house, until she gets back home.
Graph Stories (Level 1)
Jan 08, 3:36:47 PM
Watch help video
Click twice to plot a segment.
Click a segment to delete it.
Therefore ,As a result, the answer to the above equation is: She starts at (19,8), travels 8 blocks back in 2 minutes, and ends up at (21,0).
Equation : what is it?An equation in mathematics is a representation of two equal variables, one on each side of a "equals" sign. To tackle common issues, equations can be used. We commonly seek pre algebra help to overcome obstacles in real life. Math fundamentals are covered in pre-algebra lessons.
Here,
Given :
At time zero, Kadeesha stepped outside and drove 3 minutes at a speed of 1 block per minute to the store.
after traveling six blocks at her normal speed of three blocks per minute
She spent 5 minutes stopping at the bank as a result. She then sped home at a rate of three blocks per minute.
She therefore begins at (19,8), travels 8 blocks back in 2 minutes, and ends at (21,0).
Therefore ,As a result, the answer to the above equation is: She starts at (19,8), travels 8 blocks back in 2 minutes, and ends up at (21,0).
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Identify the graph of x < 2.
Answer:
lower left (already identified)
Step-by-step explanation:
You want the graph showing x < 2.
Line typeThe boundary line of the solution area will be x = 2. Because that line is not included in the space x < 2, the line is dashed. (Eliminates graphs on the right.)
ShadingThe solution space includes values of x that are less than 2. That means they are to the left of the boundary line. Shading will be left of the dashed line. (Eliminates graphs on the top.)
The correct graph of x < 2 is the one at lower left, already highlighted in the image.
Choose the best answer.
A general guideline for the amount that is withheld for contribution to an employee's pension fund
is
O 6.0%
© 6.5%
O 7.5%
O 7.0%
Answer is 6.5
Answer: Yes, the answer is 6.5%. The percentage of employee's salary that is withheld for contribution to their pension fund can vary depending on the company or organization, but generally it is around 6-7%. 6.5% is a common percentage used by employers as a guideline for the amount that is withheld for the employee's pension fund.
Step-by-step explanation:
Please help me on these questions my homwork is due at 11:59 pm today!
Han will make $57.75 for 7 hours of babysitting.
What is line segment?In geometry, a line segment is a part of a straight line that is bounded by two distinct end points, and contains every point on the line that is between its endpoints. The length of a line segment is given by the Euclidean distance between its endpoints.Given is a line segment RT.
We can write RT as -
RT = RS + ST
56 = (7y + 3) + (2y + 8)
(7y + 3) + (2y + 8) = 56
9y + 11 = 56
9y = 45
y = 5
Therefore, the value of {y} will be equivalent to 5.
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Simplify: [tex]\frac{10m}{5m}[/tex]
Answer:
2
When you cancel out the m (cause its the common factor) the only thing left is to simplify 10/5 which is 2.
In AJLP. m/JMP = (3x −6)°, JK = 3y-2, and LK = 5y-8. Find LK if PK is a median.
LK=
On solving the provided question, we can say that - the value ox in the following angle = 3x = 84 => x = 28
what are angles?In Euclidean geometry, an angle is a shape made up of two rays, referred to as the angle's sides, that meet at a point in the middle known as the angle's vertex. Two rays can generate an angle that is in the plane where the rays are located. The meeting of two planes also creates an angle. They are referred to as dihedral angles. An angle is the shape created by two rays or lines that have a shared termination in plane geometry. The Latin word "angulus," which meaning "horn," is the source of the English term "angle." The vertex is the common terminal of the two rays, which are referred to as the sides of the angle.
here
angle JMP = 3x-6 - 90
3x = 84
x = 28
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Help asappppp please
Answer:
the answer is a
and the correct answer is letter C
Step-by-step explanation:
I don't know that is the answer
please help: Can a triangle have side lengths with the given lengths? Explain. 8m, 10m, 19m
Answer:
no
Step-by-step explanation:
The sum of the lengths of any two sides of a triangle is always greater than the length of the third side.
8+10 is 18
which is less than 19
Denise dusted a square tabletop with an area of 36x^16y^4 units write an expression to represent one side length of the table top
The length of the side of the table top as calculated from the given data will be 6x⁴y².
To calculate the area of the table top we will have to square of the sides given .
area =(36x.16y^4 )²
side =√(36x.16y^4 )²
= 6x⁴y².
In mathematics the product of a number multiplied by itself is considered to be its square. Eg.) 6 multiplied by 6 gives 36 which is known as its square.
The given table is square in shape and hence its area will be given my multiplying its side with itself.
Area of a square = side x side.
To find its length we can simply find the square root of the number.
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In a statistics class, a teacher had the students complete an activity in which they grabbed as many bite-sized pretzels as they could with their dominant hand, without crushing them. The teacher then measured their handspan in centimeters. The scatterplot displays the data the teacher collected along with the least-squares regression line. One student with a handspan of 23 cm grabbed 38 pretzels. This point is circled on the graph.
What effect will the circled point have on the y-intercept?
The y-intercept will not change with the addition of this point.
The y-intercept will decrease because the point pulls the least-squares regression line toward it.
The y-intercept will increase because the point pulls the least-squares regression line toward it.
The y-intercept will increase because this point represents an extremely high number of pretzels grabbed with the dominant hand.
answer is B
We can see here that the effect that the circled point will have on the y-intercept is: B. The y-intercept will decrease because the point pulls the least-squares regression line toward it.
What is an intercept?In statistics, an intercept is the value of the dependent variable when the independent variable(s) is equal to zero. It is often represented by the symbol "b" in a linear equation.
For example, a simple linear equation has the form y = mx + b, where "y" is the dependent variable, "x" is the independent variable, "m" is the slope of the line, and "b" is the y-intercept. The y-intercept is the point where the line crosses the y-axis.
We see here that the answer above is the correct answer.
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Olivia is making greeting cards, which she will sell by the box at an arts fair. She paid $24 for a booth at the fair, and the materials for each box of cards cost $2. She will sell the cards for $6 per box of cards. At some point, she will sell enough cards so that her sales cover her expenditures. How much will the sales and expenditures be? How many cards will that take?
Answer:
$8
Step-by-step explanation:
Rover it’ 3/4 of a can of cat food each day Bobo it’ 1/2 of a can of cat food each day cat food cot five dollar for three can it i only aw three can’t fox how much doe it cot for Karen for a 60 day upply of cat food for her to count cat
this question is related to numbers and the solution is as follows,
Rover eats 3/4 can of cat food in a day.
given
in 60 days it will consume 60 x 3/4 cans = 45 cans of cat food
3 cans cost = $5 and a pack contains 3 cans
45 cans is equivalent to= 45/3
= 15 packs
15 packs cost = 15 x $5 = $75
So it will cost $ 75 to feed Rover for 60 days
Bobo eats 1/2 of a can of cat food per day
in 60 days it will consume 60 x 1/2 cans = 30 cans of cat food
3 cans cost $5 and a pack contains 3 cans
30 cans are equivalent to 30/3 = 10 packs
10 packs will cost = 10 x $5 = $50
So it will cost $50 to feed Bobo for 60 days
In total, in 60 days it will cost $75 +$ 50 = $125 to feed both cats in 60 days.
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As calculated from the data we get the result as that $ 125 is required for the cat food of both the cats in a month.
We are given that in 60 days he will consume ,
60 x 3/4 cans
= 45 cans of cat food
The cost of 3 cans cost = $5
and one pack has 3 cans in it.
Therefore, 45 cans is equivalent to
= 45/3
= 15 packs
So , the cost of 15 cans will be ,
15 packs cost = 15 x $5 = $75
Therefore ,$75 is used for 60 days of cat food for Rover.
Now , we know that Bobo eats 1/2 of a can food in a day.
Therefore, in 60 days he will eat,
60 x 1/2 cans
= 30 cans of food
As we know, 3 cans cost $5 and a pack contains 3 cans
Therefore, 30 cans = 30/3 = 10 packs
10 packs will cost = 10 x $5 = $50
So , $50 is spend to feed Bobo , in a month.
Therefore , if will combine their cost we will get that ,
$75 +$ 50 = $125 is required to feed both the cats in one month.
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How do you find the sides of a triangle with angles on a 45 45 90?
the given triangle A 45-45-90 triangle is a right triangle having interior angles measuring 45°, 45°, and 90° in degrees.
A 45-45-90 triangle is also an isosceles triangle, which means that its two legs are equal in length.
All 45-45-90 triangles are similar to each other.
Line segments DE and FG are perpendicular to side AB of the 45-45-90 triangle, ABC. Triangles ADE and AFG are also 45-45-90 triangles now, △ABC~△ADE~△AFG.
The ratio of the side lengths of a 45-45-90 triangle is:
ratio= 1:1: √2
The legs of opposite the 45° angles (the shorter sides) are √2÷2of the length of the hypotenuse (the side opposite the 90° angle)
The hypotenuse is √2 times the length of either leg.
Since a 45-45-90 triangle is also an isosceles triangle, then, the two legs are equal on measuring. Assuming x is the length of the leg and b is the length of the hypotenuse and using the Pythagorean Theorem:
x^2 + x^2= b^2
Thus, the ratio of the side lengths of a 45-45-90 triangle are x:x:√2 or 1:1: √2 respectively.
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A lawyer charges $500 to be put on retainer for a client. The lawyer also charges an hourly rate of $75 for work done. a.Identify the fixed cost (the constant).b. Identify the independent variable (x). c. Identify the dependent variable (y). d.Write an equation that describes the situation above.
The answer will start with 500 USD. For every hour, 75 USD is charged. We can multiply 'x' to 75 USD which will represent the amount of hours. The equation will now become, 'y = 75x + 500'. In most cases, like this one, y will represent the total cost. Here are the answers.
a. 75USD
b. x (amount of hours)
c. y (total cost)
d. y = 75x + 500
Hope I understood what you were asking and if not I'm really sorry <3
for large parties a restaurant adds a 15 service charge. how much would be added to a bill of $638.40
Answer: $95.76
Step-by-step explanation:
If the 15 is referencing 15%.
15% of 638.40 can be found by making 15% a decimal by moving the decimal to the left twice.
.15 X 638.40= 95.76
Suppose $PABCD$ is a right square pyramid with apex $P$ and base $ABCD$. If $PBD$ is an equilateral triangle with side length 6, then what is the volume of $PABCD$
The volume of a right square pyramid PABCD is 50.91 cubic units
Let l be the side length of right squared pyramid and h be the height.
We know that the formula for the volume of the right squared pyramid.
V = a²h / 3
And the formula for the height of right squared pyramid.
h = (1/√2)a
Here, the side length (a) = 6 units
So, using above formula of height,
h = (1/√2) × 6
h = 6/√2
h = 3√2 units
Now using the formula for the volume of the right squared pyramid, the volume of pyramid PABCD would be,
V = (6² × 3√2) / 3
V = 6² × √2
V = 36√2
V = 50.91 cubic units
Therefore, the volume of PABCD is 50.91 cubic units
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What are the 3 parts of a quadratic equation?
The 3 parts of a quadratic equation are standard form, factored form and vertex form.
A quadratic equation is a polynomial equation of degree two in one variable of type f(x) = ax² + bx + c where a, b, c, ∈ R and a ≠ 0.
There are three forms of quadratic equations
Standard form of quadratic equation y = ax² + bx + c
factored form of quadratic equation y = a(x − r₁)(x − r₂)
Vertex form of quadratic equation y = a(x − h)² + k
Each of the above quadratic forms looks unique, allowing the different problems to be more easily solved in one form than another.
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6. Find the quotients.
a. 0.024 ÷ 0.015
b. 0.24 0.015
c. 0.024 ÷ 0.15
d. 24 ÷ 15
Answer:
a. 1.6
b. 16
c. 0.16
d. 1.6
Which polynomial is prime?
x3 + 3x2 -2x - 6
x° - 2x2 + 3x 6
4x4 + 4x3 - 2x - 2
D 2x + x3 -x +2
The final equation is a polynomial of primes [tex]2x^{4} + x^{3} - x + 2[/tex] It can't be factored. Variables are sometimes known as indeterminate in mathematics.
what is polynomial ?An essential component of the "language" of mathematics and algebra are polynomials. They are used to express numbers that are the result of mathematical operations in almost every area of mathematics. Other types of mathematical expressions, such as rational expressions, also use polynomials as "building blocks."
given
Is a base form of a polynomial in other words is a polynomial that can't be factored.
so we have
[tex]A ) x^{3} +3x^{2} - 2x - 6 = ( x +3 ) ( x^{2} - 2 )\\B) x^{3} -2x^{2} +3x - 6 = ( x- 2 ) (x^{2} + 3)\\C)4x^{4} +4x^{3} - 2x - 2 = 2( x +1 )(2x^{2} - 1)\\D) 2x^{4} +x^{3} -x + 2[/tex]
hence, the final equation is a polynomial of primes [tex]2x^{4} + x^{3} - x + 2[/tex] It can't be factored.
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You lose 0.3 point for stepping out of bounds during a gymnastics floor routine. Your final score is 9.124. Write and solve an equation to find your score x without the penalty.
The equation is x + 0.3 = 9.124 and the value of x is 8.824.
The following is a linear equation in one variable. It can be expressed in the form of ax+b=0. Here a and b are integers and x is a variable that has only one solution. In these type of equations only one variable is present.
We can write an equation to find the score without the penalty by using the information provided. Let x be the score without the penalty. We know that the final score (with the penalty) is 9.124 and that the penalty is 0.3 points. Therefore, we can set up the equation:
x + 0.3 = 9.124
To find the score without the penalty, we need to subtract 0.3 from both sides of the equation:
x = 9.124 - 0.3
x = 8.824
So, the score without the penalty is 8.824
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1. To find members for her skate team, Heather prints flyers to display around town. She posts 6 flyers
at her school and f flyers at each of the 3 nearest skate parks. Write two different expressions that
represent the total number of flyers posted.
Find the total number of flyers posted if f= 5.
Recently, the Town of Aberdeen announced they were going to acquire a large parcel of land for a new park initiative.
What is piecewise function?To fully understand what piecewise functions are and how we can construct our own piecewise-defined functions, let’s first dive into a deeper understanding of how it works.A piecewise function is a function that is defined by different formulas or functions for each given interval. It’s also in the name: piece. The function is defined by pieces of functions for each part of the domain.In mathematics, a piecewise-defined function is a function defined by multiple sub-functions, where each sub-function applies to a different interval in the domain. Piecewise definition is actually a way of expressing the function, rather than a characteristic of the function itself.To learn more about piecewise function refer to:
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HURRY!!
The height of a cylinder is 5 centimeters. The circumference of the base of the cylinder is 167 centimeters.
Which measurement is closest to the volume of the cylinder in cubic centimeters?
A. 251. 3
B. 4,021. 2
C. 1,005. 3
D. 628. 3
Since the circumference of the base is given, the radius can be calculated as r = (circumference / 2π) and the volume as V = πr2h. The volume of the cylinder is therefore approximately 628.3 cubic centimeters.
1. Calculate the radius of the base of the cylinder. The circumference of the base is 167 centimeters. Rearranging this gives
r = C / 2π. Therefore,
r = (167 / 2π)
= 26.6 cm.
2. Calculate the volume of the cylinder. The formula for volume is V = πr2h. Therefore,
V = π(26.6)2 * 5
= 628.3 cubic centimeters.
or
r = (167 / 2π) = 26.6 cm
V = π(26.6)2 * 5 = 628.3 cubic centimeters
To calculate the volume of the cylinder, the radius of the base must first be calculated. This can be found by using the formula C = 2πr, where C is the circumference and r is the radius The circumference of the base of the cylinder is 167 centimeters, so the radius can be calculated as r = (167 / 2π) = 26.6 cm. The volume of the cylinder can then be calculated using the formula V = πr2h, where h is the height of the cylinder. In this case, the height is 5 centimeters, so the volume is V = π(26.6)2 * 5 = 628.3 cubic centimeters. This is the closest measurement to the volume of the cylinder.
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Is infinity times 0 still 0?
Yes, infinity times 0 is still 0 because if we multiply 0 to any number is 0.
Yes, infinity times 0 is still 0 because if we multiply 0 to any number is 0.
0 * 0 * 0 * 0= 0
Zero is the integer denoted 0 that, when used as a counting number, means that no objects are present. It is the only integer (and, in fact, the only real number) that is neither negative nor positive. A number which is not zero is said to be nonzero. A root of a function f is also sometimes known as "a zero of f."
The Schoolhouse Rock segment "My Hero, Zero" (Multiplication Rock, Season 1, Episode 2, 1973) extols the virtues of zero with such praises as, "My hero, zero Such a funny little hero But till you came along We counted on our fingers and toes Now you're here to stay And nobody really knows How wonderful you are Why we could never reach a star Without you, zero, my hero How wonderful you are."
Zero is commonly taken to have the factorization 0=0·1 (e.g., in the Wolfram Language's FactorInteger[n] command). On the other hand, the divisors and divisor function sigma_k(0) are generally taken to be undefined, since by convention, n|0 (i.e., n divides 0) for every n except zero.
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Solve for 2 |v+2|-41=-9
If there is more than one solution, separate them with commas. If there is no solution, click on "No solution"
Answer:
[tex]v=-18,14[/tex]
Step-by-step explanation:
[tex]2|v+2|-41=-9\\2|v+2|=32\\|v+2|=16\\\\v+2=16\\v=14\\\\v+2=-16\\v=-18[/tex]
Write a rule to describe each transformation.
S(1,-4), R(2,0), 2(3,0), P(3,-2)
to
S'(-5,-2), R'(-4, 2), Q'(-3, 2), P(-3,0)
The transformation of S(1,-4), R(2,0), 2(3,0), and P(3,-2) is S(-6, -2), R(-6, 2), as well as the category is rotation transformation.
what is transformation ?Four distinct approaches to modify the position and/or shape of a point, line, or geometric figure are collectively referred to as transformations. The Pre-Image, which refers to the object's initial shape, and the Image, which refers to the object's ultimate shape and location after transformation, are both terms. Transformations can be divided into three categories: translations, reflections, and dilations. There are two types of transformations that can be done to a function: vertical (which affects the y-values) and horizontal (affects the x-values). The four transformation variables are included in the equation of a function that is shown below (a, b, h, and k). changing the log. Take the log of every observation as an example. Transposition by the square root. The square root of each observation is what is need for this.
given
Translation or shift vector refers to the pair (tx, ty). Column vectors are another way to visualize the aforementioned equations.
S(1,-4), R(2,0), 2(3,0), P(3,-2) to S'(-5,-2), R'(-4, 2), Q'(-3, 2), P(-3,0)
is S (-6, -2) , R( -6 , 2)
The transformation of S(1,-4), R(2,0), 2(3,0), and P(3,-2) is S(-6, -2), R(-6, 2), as well as the category is rotation transformation.
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A farmer has a field in the shape of a semicircle of diameter 50 m. The farmer asks Jim to build a fence around the edge of the field. Jim tells him how much it will cost. Total cost = £29. 86 per metre of fence plus £180 for each day's work Jim takes three days to build the fence. Work out the total cost. Show your working out
The total cost is £2033.
The field is in the shape of a semicircle, so the radius of the field is half the diameter or 50 m / 2 = 25 m.
The circumference of a circle is given by 2 * pi * r, where r is the radius of the circle.
So the circumference of the semicircle is 2 * pi * 25 = 50 * pi m.
The cost of the fence is £29.86 per meter. So the cost of the fence is 50 * pi * £29.86 = £1493.
Jim takes three days to build the fence and charges £180 per day.
So the cost for the labour is 3 * £180 = £540.
Adding the cost of the labour to the cost of the fence: £1493 + £540 = £2033
So the total cost is £2033.
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