Answer: To solve the problem, we can use the formula for exponential decay:
N(t) = N0 * (1/2)^(t/T)
where:
N(t) is the amount of the radioactive element at time t
N0 is the initial amount of the radioactive element
t is the time that has elapsed
T is the half-life of the radioactive element
Let's assume that the initial amount of carbon-14 in the bones was N0. After the bones were discovered, they had lost 60.1% of their carbon-14, which means that only 39.9% of the original carbon-14 remained. Therefore, we can write:
N(t) = 0.399 * N0
We want to find the time t that has elapsed since the mastodon died. We can rearrange the formula for exponential decay to solve for t:
t = T * log( N(t) / N0 ) / log(1/2)
Substituting the given values, we get:
t = 5750 * log( 0.399 ) / log(1/2)
Using a calculator, we find that t is approximately 16060 years. Therefore, the bones were approximately 16060 years old at the time they were discovered.
Step-by-step explanation:
the number 344,586, how many times greater is the value represented by the in the ten thousands place than the value represented by the 4 in the housands place?
The value represented by the digit in the ten thousands place is 10 times greater than the value represented by the digit in the thousands place.
What is algebra?
Algebra is a branch of mathematics that deals with mathematical operations and symbols used to represent numbers and quantities in equations and formulas. It involves the study of variables, expressions, equations, and functions.
The value represented by the digit in the ten thousands place is 4 times greater than the value represented by the digit in the thousands place.
To see why, we can look at the place value of each digit. The digit in the ten thousands place represents a value of 4 x 10,000 = 40,000. The digit in the thousands place represents a value of 4 x 1,000 = 4,000.
Therefore, the value represented by the digit in the ten thousands place is 40,000/4,000 = 10 times greater than the value represented by the digit in the thousands place.
So, the value represented by the digit in the ten thousands place is 10 times greater than the value represented by the digit in the thousands place.
To learn more about algebra from the given link:
https://brainly.com/question/24875240
#SPJ1
Problem 7: Find the surface area and round to the nearest tenth.
Answer:
1629.24m
Step-by-step explanation:
starting with the easy ones
1) Rectangle 1:
Surface area of rectangle=Length x width
SAR= 24x21
= 504m
2) Rectangle 2:
SAR= 19x21
=399
3) Rectangle 3
SAR= 21x8
=168
4) Rectangle 4:
SAR= 21x11
=231
*because the top and bottom are trapeziums the formular for it is
A=1/2(a+b)h
although those trapeziums don't have h(Height)
it needs to be broken down into two triangles and a rectangle. to find the height*
5) side/height of triangle A:
formula: C squared= a squared + b squared
in this case we already have C and A. meaning we have to rearrange the formula to:
x = c^2 - a^2
x = 8^2 - 2.5^2
x = sqrt 57.75
x = 7.61
6) Trapezium
SA= 1/2(a+b)h
SA= 1/2(19+24)7.61
=163.62
7) add all surface area together
which should equal 1629.24m
Which statements describe a parallelogram that must be a rectangle?
Select each correct answer.
parallelogram with a pair of congruent consecutive sides
parallelogram with congruent diagonals
parallelogram with opposite sides congruent
• parallelogram with a right angle
• parallelogram with perpendicular diagonals
Answer:
A parallelogram with congruent diagonals, a parallelogram with a right angle, a parallelogram with perpendicular diagonals.
Step-by-step explanation:
By definition, a rectangle is nothing but a parallelogram with one right angle. One of the properties of a rectangle is that its perpendiculars are congruent. Finally, the diagonals of a rectangle are congruent (this can be proved by finding congruent triangles split by the diagonals, using CPCTC, etc.).
if L(x) =sinx-cosx, then dxy=? A. cosx+sinx B. cosx-sinx C. sin²x+cosx D. none
The correct option is A. cosx+sinx. The differentiation of the given function L(x) =sinx-cosx, is found as dxy = cosx + sinx.
Explain about the derivative of function:The derivative of a function f(x), also known as f'(x) or df/dx, is a measure of how quickly a function changes.
We gradually reduce the distance between x and (x+x) until it is minuscule. As a result, we now have limit (x-->0). The variation of the function f across the interval x is represented by the numerator f(x+x)-f(x). As a result, the rate of change of a function f at a position x is represented by its derivative at that location.We must differentiate L(x) in respect to x using such derivative rules in order to determine d(L(x))/dx.
d(L(x))/dx = d/dx (sinx - cosx)
d(L(x))/dx = cosx - (- sinx)
d(L(x))/dx = cosx + sinx
Thus, the differentiation of the given function L(x) =sinx-cosx, is found as dxy = cosx + sinx.
Know more about the derivative
https://brainly.com/question/23819325
#SPJ1
solve y''+y=t using laplace inverse with y(0)=1 and y'(0)=-2
The solution of the differential equation y'' + y = t with the initial conditions y(0)=1 and y'(0)=-2 is y(t)= 1-2t+te-t.
What is equation?Equation is a mathematical statement that expresses the equality of two expressions. It shows the relationship between two or more variables and can be written using symbols, numbers, and operations. Equations are used to describe physical laws, to make calculations, and to solve problems. Examples of equations include the Pythagorean theorem, Newton's laws of motion, and linear equations.
We solve this differential equation using Laplace inverse, with the initial conditions y(0)=1 and y'(0)=-2. First, we take the Laplace transform of the equation:
L[y''+y]=L[t]
Using the properties of Laplace transform, we can write this as:
s2Y(s)-sy(0)-y'(0)+Y(s)= (1/s)
Substituting the initial conditions and rearranging terms, we have:
Y(s)= (1/s) + (2/s2) + (1/s2)
We can then invert the Laplace transform to get the solution of the original equation:
y(t)= 1-2t+te-t
Therefore, the solution of the differential equation y'' + y = t with the initial conditions y(0)=1 and y'(0)=-2 is y(t)= 1-2t+te-t.
To know more about equation click-
http://brainly.com/question/2972832
#SPJ1
I need help
A population of bacteria is growing according to the equation p(t)=800e^0.14t Estimate when the population will exceed 1151.
t= ---------
Answer: t=2.59
Step-by-step explanation:
This is a matter of clearing out the equation
set 1151=800e^0.14t
1151/800=e^0.14t
ln(1151/800)/0.14=t
t=2.59
Find the difference between the median and the mean by using 4.25, 6.25, 8,8,8, 4.25, 6,9,6, 8.25, 9.25
Check the picture below.
Find the area of the triangle. Plsss answer
Answer:
1. 90
2. 468
Step-by-step explanation:
Answer:
Question 1). 45 in
Question 2). 234 m
Step-by-step explanation:
Area = base x height x 1/2
10 x 9 = 90
90 x 1/2 = 45
Question 2)
30 x 15.6 = 468
468 x 1/2 = 234 m
Determine the circumference and approximate area of the
given circle, using 3.14 for pie.
The circumference and approximate area of the given circle is 69.08 inches & 380.14 square inches.
What is circumference?
Circumference is the distance around the edge of a circular object or a round shape. It is the length of the boundary or perimeter of the circle. The formula is given by C = 2πr, where C is the circumference, r is the radius of the circle, and π is a mathematical constant approximately equal to 3.14.
The circumference of a circle is given by the formula:
C = 2πr
where r is the radius of the circle and π (pi) is a mathematical constant approximately equal to 3.14.
Using this formula and plugging in the given value of radius:
C = 2 x 3.14 x 11
C = 69.08 inches (rounded to two decimal places)
So the circumference of the circle with 11 inches radius is approximately 69.08 inches.
The area of a circle is given by the formula:
A = πr²
Again, using the given value of radius and approximating π to 3.14:
A = 3.14 x 11²
A = 3.14 x 121
A = 380.14 square inches (rounded to two decimal places)
So the approximate area of the circle with 11 inches radius is approximately 380.14 square inches.
To learn more about circumference visit the link:
https://brainly.com/question/27447563
#SPJ1
m 32 33 There are red tiles and blue tiles in a box. The ratio of red tiles to blue tiles is 3:5. There are 12 more blue tiles than red tiles in the box. How many red tiles are in the box? A 18 B C 20 30 D 48 What is the surface area, in square inches, of the rectangular prism formed by folding the net below? 8 in. 23 in. 8 in. 36 in.
The number of red tiles in the box given the chance ratio of red to blue tiles is 18. The surface area of the rectangular prism is 2600 square inches.
Number of red tiles = x
Number of blue tiles = 12 + x
Total tiles = x + 12 + x
= 12 + 2x
Ratio of red = 3
Ratio of blue = 5
Total ratio = 3 + 5 = 8
Number of red tiles = 3 / 8 × 12+2x
x = 3(12 + 2x) / 8
x = (36 + 6x) / 8
8x = 36 + 6x
8x - 6x = 36
2x = 36
x = 36/2
x = 18 tiles
Therefore, The number of red tiles in the box given the chance ratio of red to blue tiles is 18.
b) To find the surface area of the rectangular prism, we need to find the area of each of its faces and add them together. Looking at the net, we see that there are three pairs of identical rectangles: the top and bottom faces, the front and back faces, and the left and right faces. Each of these rectangles has dimensions of 23 inches by 8 inches.
Therefore, the surface area of the rectangular prism is:
=2 * (23 in. * 8 in.) (top and bottom faces)
=2 * (36 in. * 8 in.) (front and back faces)
=2 * (23 in. * 36 in.) (left and right faces)
= 368 + 576 + 1656
= 2600 square inches
Therefore, the surface area of the rectangular prism is 2600 square inches.
To know more about ratio check the below link:
https://brainly.com/question/12024093
#SPJ9
Please help me and ty :)
Answer:
$60
Step-by-step explanation:
In a set of data, the median is the value that is placed in the middle. to find the median, we must order the numbers from least to greatest, like so:
20, 40, 40, 50, 60, 60, 60, 60, 70, 70
Using this representation, we find that there are two numbers in the middle: 60 and 60 (since the amount of data is an even number, there will be two numbers in the center).
When something like this occurs, find the average of the two numbers in the middle (and the values and divide by the number of values). We have:
60 + 60 = 120;
[tex]\frac{120}{2} = 60[/tex]
Therefore, the median is $60.
A researcher is standing in a corner (point c) of a triangler plot. the angle to point a is S76E the angle to point b is N32E The distance between point c and point a is 210 ft and the distance between point c and point b is 150 ft
find the distance between point a and point b
If a researcher is standing in a corner (point c) of a triangle plot. the angle to point a is S76E . the distance between point A and point B is 210 ft.
How to find the distance between point A and point B?To find the distance between points A and B, we can use the Law of Cosines. Let's first label the angles of the triangle:
Angle ACB = 180 - (76 + 32) = 72 degrees
Angle BAC = 76 degrees
Angle ABC = 32 degrees
Using the Law of Cosines, we have:
AB^2 = AC^2 + BC^2 - 2(AC)(BC)cos(ACB)
where;
AB is the distance between points A and B
AC is the distance between points A and C (210 ft
BC is the distance between points B and C (150 ft)
ACB is the angle between AC and BC (72 degrees)
Plugging in the values, we get:
AB^2 = 210^2 + 150^2 - 2(210)(150)cos(72)
AB^2 = 44100
AB = sqrt(44100)
AB = 210 ft
Therefore, the distance between point A and point B is 210 ft.
Learn more about distance between point A and point B here:https://brainly.com/question/16638986
#SPJ1
Use the graph to answer the question. Graph of a polygon ABCD with vertices at 4 comma 4, 12 comma 4, 12 comma 8, 4 comma 8 and a second polygon A prime B prime C prime D prime with vertices at 1 comma 1, 3 comma 1, 3 comma 2, 1 comma 2. Determine the scale factor used to create the image. one half 2 one fourth 2.5
Given polygons ABCD and A'B'C'D' have scale factors of 1/4 since their respective side ratios are the same.
What is scale-factor?The amount by which a shape is made smaller or larger is referred to as its scale factor. This method is employed when a 2D polygon, irregular or regular shape, such as a circle, triangle, square, or rectangle, needs to be enlarged larger. In the equation y = px, p is the scale factor for x. One may identify the scale factor between any two shapes or figures by comparing the measurements of the new shape to those of the prior shape.
Scale factor = Dimensions of new shape/Dimensions of original shape
given the original polygon's coordinates:
A(4,4) ; B(12,4) ; C(12,8) ; D(4,8)
Distance AB = X₂ - X₁
= 12 - 4
= 8 units
Distance BC = Y₂ - Y₁
= 8 - 4
= 4 units
Distance CD = X₂ - X₁
= 12 - 4
= 8 units
Distance DA = Y₂ - Y₁
= 8 - 4
= 4 units
Added coordinates for the new polygon:
A'(1,1) ; B(3,1) ; C(3,2) ; D(1,2)
Distance A'B' = X₂ - X₁
= 3 - 1
= 2 units
Distance B'C' = Y₂ - Y₁
= 2 - 1
= 1 units
Distance C'D' = X₂ - X₁
= 3 - 1
= 2 units
Distance D'A' = Y₂ - Y₁
= 2 - 1
= 1 units
Scale factor = [tex]\frac{A^{\prime} B^{\prime}}{A B}=\frac{B^{\prime} C^{\prime}}{B C}=\frac{C^{\prime} D^{\prime}}{C D}=\frac{D^{\prime} A^{\prime}}{D A}[/tex]
[tex]\frac{A B}{A^{\prime} B^{\prime}}=\frac{2}{8}=\frac{1}{4}\\\\\frac{B^{\prime} C^{\prime}}{B C}=\frac{1}{4}\\\\\frac{C^{\prime} D^{\prime}}{C D}=\frac{2}{8}=\frac{1}{4}\\\\\frac{D^{\prime} A^{\prime}}{D A}=\frac{1}{4}[/tex]
Scale factor = [tex]\frac{A^{\prime} B^{\prime}}{A B}=\frac{B^{\prime} C^{\prime}}{B C}=\frac{C^{\prime} D^{\prime}}{C D}=\frac{D^{\prime} A^{\prime}}{D A}=\frac{1}{4}[/tex]
The image was reduced using a one-fourth scale factor.
To know more about scale-factor, visit:
https://brainly.com/question/29967135
#SPJ1
Refer to the attachment for the graph.
What are the answer and how do you do it? im confuse on how this works
a): 1.19
b): 0.76 or 0.8
12. Peyton stated that she thought that the sum of the measures of interior angles in a triangle was always 180° but when she measured the angles in 10 triangles using a protractor, the sum wasn't always exactly 180°. Why do you think this happened? What might you say to Peyton?
When measuring angles with a protractor, there is the possibility of human error in any of the following:
➜ error in drawing the triangles
➜ error in reading the protractor
➜ error in lining up the protractor with the triangle
➜ addition errors
➜ other
I would say to Peyton to double-check their work and confirm the protractor lines up with the sides of a properly drawn triangle.
A rectangle has an area of 104cm^2 and a width that measures 8 cm. Find the perimeter of the rectangle.
Answer:
p=42
Step-by-step explanation:
S=104 sm^2
a=8 sm
S=a*b
104 sm^2=8*b
b=104 sm^2/8 sm=13 sm
P=2*(a+b)=2*(13 sm+8 sm)=42 sm
Find the equation of the linear function represented by the table below in slope-
intercept form.
X
1
2
3
4
y
5
8
11
14
The equation of the linear function represented by the table in slope-intercept form is:
y = 3x + 2
What is slope-intercept form of line ?We can find the equation of the linear function represented by the table using the slope-intercept form:
y = mx + b
where "m" is the slope of the line and "b" is the y-intercept.
To find the slope, we can use any two points from the table. Let's use the first and last points:
slope (m) = (y2 - y1) / (x2 - x1)
slope (m) = (14 - 5) / (4 - 1)
slope (m) = 3
Now we can find the y-intercept "b" by substituting one of the points and the slope into the slope-intercept form:
y = mx + b
5 = 3(1) + b
5 = 3 + b
b = 2
So the equation of the linear function represented by the table in slope-intercept form is:
y = 3x + 2
know more about slope visit :
https://brainly.com/question/19131126
#SPJ1
Rectangle MPAT has vertices M(1,2) , P(1, 3), A(3, 3), and T(3, 2) . Rectangle M’P’A’T . Which coordinates describe the vertices of the image?
The coordinates of the vertices of the image rectangle M'P'A'T' are:
M'(2,1), P'(3,1), A'(3,3), T'(2,3).
What is rectangle?
A rectangle is a geometric shape that has four sides and four right angles (90 degrees) with opposite sides being parallel and equal in length.
To find the coordinates of the vertices of the image rectangle M'P'A'T', we need to apply a transformation to each vertex of the original rectangle MPAT.
We can see that the original rectangle MPAT has sides parallel to the x and y-axes, which suggests that it is aligned with the coordinate axes. We can also see that the length of its sides are equal, which means it is a square.
To transform this square, we can use a combination of translations, rotations, and reflections. However, since we don't have any information about the type of transformation that is being applied, we can assume that the simplest transformation is a reflection across the line y=x.
To reflect a point (x,y) across the line y=x, we swap its x and y coordinates to get the reflected point (y,x). Therefore, the coordinates of the vertices of the image rectangle M'P'A'T' are:
M'(2,1)
P'(3,1)
A'(3,3)
T'(2,3)
To learn more about rectangle from the given link:
https://brainly.com/question/29123947
#SPJ1
Here are two complex numbers being multiplied: (4 + 2)(6-3) = ?
Without calculating the exact result of the multiplication, how can
you tell that the result will be a real number?
Answer: 18
Step-by-step explanation:
Which ordered pairs lie on the graph of the exponential function f(x)=−32x+5
?
The ordered pair (0, 2) lies on the graph.
The ordered pair (-1, 0) lies on the graph.
The ordered pair (-1, 0) lies on the graph.
What is function?
In mathematics, a function is a relationship between two sets of elements, called the domain and the range, such that each element in the domain is associated with a unique element in the range.
The exponential function f(x) = -32x+5 can be written in the form of
f(x) = [tex]a(b^{x})+c[/tex], where a, b, and c are constants. Comparing with the given function, we have a = -3, b = 2, and c = 5.
To find the ordered pairs that lie on the graph of the exponential function, we can plug in different values of x and calculate the corresponding values of y using the function. Here are some examples:
When x = 0, we have f(0) = [tex]-3(2^{0})[/tex] + 5 = 2. Therefore, the ordered pair (0, 2) lies on the graph.
When x = 1, we have f(1) = [tex]-3(2^{1})[/tex] + 5 = -1. Therefore, the ordered pair (1, -1) lies on the graph.
When x = -1, we have f(-1) = [tex]-3(2^{-1})[/tex] + 5 = 6/2 - 3 = 0. Therefore, the ordered pair (-1, 0) lies on the graph.
We can continue this process to find more ordered pairs that lie on the graph of the exponential function.
To learn more about functions from the given link:
https://brainly.com/question/12431044
#SPJ1
What is the area of the trapezoid?
Enter your answer in the box.
The area of given trapezoid whose parallel sides are 8 inches, 16 inches & its perpendicular height is 6 inches is 72 inches².
What is a trapezoid?
Quadrilaterals or four-sided polygons with one pair of parallel sides and one pair of non-parallel sides are known as trapezoids, usually spelt trapezium. It has a perimeter and covers a certain amount of space. The bases of the trapezium are the sides that are parallel to one another. Legs or lateral sides indicates to the non-parallel sides. The altitude or perpendicular height is the separation between the parallel sides. This shape's area is equal to half of the product of its parallel sides times its height.
Given dimensions of trapezoid:
let parallel sides be denoted by a , b & height be 'h'
a= 8 inches (top side)
b= 8+4+4=16 inches (bottom side)
h= 6 inches
Area = [tex]\frac{sum of parallel sides}{2}[/tex] x height
=[tex]\frac{(a+b)h}{2}[/tex]
=[tex]\frac{(8+16)6}{2}[/tex]
=[tex]\frac{24(6)}{2}[/tex]
=24 x 3
=72 sq. inches
The area of given trapezoid is 72 inches²
To know more about trapezoid, visit:
https://brainly.com/question/21025771
#SPJ1
Solve for e.
9e−7=7e−11
Answer:
Step-by-step explanation:
9e-7 = 7e-11
add 7 to both side
9e-7 =7e-11
+7 +7
9e=7e-4
subtract 7e from both sides
9e = 7e-4
-7e -7e
2e = -4
divide both sides by 2
e = -2
What meaning of the statement this?
The statement is discussing Proposition 3.5, which provides a strategy or method for finding the subgroups of any finite group.
What is the strategy?The strategy involves listing all the cyclic subgroups first. Then, subgroups with two generators can be found by taking the union of two cyclic subgroups and considering inverses. Subgroups with three generators can be found by taking the union of a subgroup with two generators and a cyclic subgroup, and so on.
The statement also mentions that if the group is not too large, this strategy can quickly yield all subgroups. Additionally, it suggests making use of Lagrange's theorem (Corollary 3.14) to further aid in finding the subgroups.
This process can be repeated to find all subgroups of the given finite group. The statement also suggests that using Lagrange's theorem (specifically, Corollary 3.14) can help in efficiently finding all the subgroups, especially if the group is not too large.
Read more about subgroups here:
https://brainly.com/question/30865357
#SPJ1
What meaning of the statement this?
Proposition 3.5 provides a strategy for finding the subgroups of any given finite group. First list all cyclic subgroups. Subgroups with two generators are also generated by the union of two cyclic subgroups (which is closed under inverses). Subgroups with three generators are also generated by the union of a subgroup with two generators and a cyclic subgroup; and so forth. If the group is not too large this quickly yields all subgroups, particularly if one makes use of Lagrange's theorem (Corollary 3.14 below).
Which of these functions could have the graph shown below?
• A. f(x) = 30^30x
• B. f(x) = e^30x
• C. f(x) = 3^x
• D. f(x) = 30e^x
The correct option is - D. f(x) = 30[tex]e^{x}[/tex] is the exponential function which is shown by the given curve.
Explain about the exponential function:For modelling a connection where the dependent variable changes proportionally to a constant variation in the independent variable, the exponential function is utilised.
Often, the function is written as exp (x) It is extensively utilised in the fields of mathematics, physics, chemistry, engineering, physical science, and economics.
Assume that an is the starting point, x is the exponent function's power, and e is the growing factor.
Exponent is provided as
y = a(e)ˣ
According to the graph, the exponent function's value at x = 0 will be 30.
The purpose will then be
30 = a(e)⁰
30 = a
The exponent function is then provided as,
y = 30eˣ
As a result, the graph in the functions below will have a value of y = 30eˣ.
know more about the exponential function:
https://brainly.com/question/2456547
#SPJ1
What is the area of this trapezoid?
168 ft²
221 ft²
248 ft²
261 ft²
20 POINTS Use the equation you wrote in problem six to complete the table. (This is already done I just need an explanation cause I don’t get it.(grade 8 work)
An equation in slope-intercept form that models the situation is y = 1.50x + 4.
The table has been completed below.
What is the slope-intercept form?In Mathematics and Geometry, the slope-intercept form of the equation of a straight line is given by this mathematical expression;
y = mx + c
Where:
m represents the slope or rate of change.x and y are the points.c represents the y-intercept or initial value.Based on the information provided above, an equation in slope-intercept form that models the situation is given by;
y = mx + c
y = 1.50x + 4
When x = 2, the total cost (y) is given by;
y = 1.50(2) + 4
y = $7.
When x = 4, the total cost (y) is given by;
y = 1.50(4) + 4
y = $10.
When x = 6, the total cost (y) is given by;
y = 1.50(6) + 4
y = $13.
When x = 8, the total cost (y) is given by;
y = 1.50(8) + 4
y = $16.
Read more on slope-intercept here: brainly.com/question/7889446
#SPJ1
Calculate the volume of a sphere with a diameter of 4.
Answer: 33.51 cubic units.
Step-by-step explanation: The equation for the volume of a circle is:
V = (4/3)πr³
where r is the sweep of the circle.
Since the distance across of the circle is given as 4, we are able discover the span by partitioning the distance across by 2:
r = d/2 = 4/2 = 2
Presently we are able plug within the esteem of the sweep into the equation for the volume:
V = (4/3)π(2³) = (4/3)π(8) = 32/3π
Answer: 33.51
Step-by-step explanation:
The formula is 4/3 pi r^3. The radius is 2. If you do the equation, you get roughly 33.51.
Please help me please and thank you <3
Answer:
20
Step-by-step explanation:
17+8+36+32+9+11+20+18+29+13+16+31
12
=240
12
=20
Use the graph to answer the question.
graph of polygon ABCD with vertices at 1 comma 5, 3 comma 1, 7 comma 1, 5 comma 5 and a second polygon A prime B prime C prime D prime with vertices at 8 comma 5, 10 comma 1, 14 comma 1, 12 comma 5
Determine the translation used to create the image.
7 units to the right
7 units to the left
3 units to the right
3 units to the left
The second polygon appears to be the same as the first polygon but shifted 7 units to the right. Therefore, the correct answer is: 7 units to the right.
What is polygon?A closed, two-dimensional shape with straight sides is called a polygon.
Triangles, quadrilaterals, pentagons, hexagons, and other shapes are examples of polygons.
Usually, a polygon's name indicates how many sides it has.
For instance, a quadrilateral has four sides, a triangle has three, and so on.
To create the image, the second polygon A' B' C' D' was moved from its original position to its new position.
Observing the coordinates of the corresponding vertices of the polygons, we see that each vertex of the second polygon was moved 7 units to the right to obtain its new position.
Therefore, the translation used to create the image is 7 units to the right.
To know more about quadrilateral visit:
https://brainly.com/question/11936810
#SPJ1
A rhombus has a base of 8 cm and a height of 4.2 cm what is the area
The area of the rhombus who has a base of 8 cm and a height of 4.2 cm is 33.6 centimeters².
What is an area?The measurement of the size of a two-dimensional shape or surface is referred to as an area.
It is the area contained within the perimeter of a flat or two-dimensional object and is expressed in square units like square centimetres, square metres, square feet, etc.
For instance, to find the area of a rectangle, multiply its length by width, and to find the area of a circle, multiply pi () by the radius square.
area of rhombus can be found as-
Area = (base x height) / 2
In this case, the base is 8 cm and the height is 4.2 cm, so we can substitute these values into the formula:
Area = (8 cm x 4.2 cm) / 2
Area = 33.6 cm²
To know more about rhombus visit:
https://brainly.com/question/30577072
#SPJ1