The word isometric can be broken into two parts. The prefix "iso-” means "of the same,” and "-metric” means "measure.” How does the meaning of the word isometric relate to determining if an isometric transformation occurred? Include the defining characteristics of angle measure and line segments in your response.
The term "isometric" has the Greek roots "isos," which means "same," and "metron," which means "measure." The definition of an isometric transformation is one in which the original figure and its transformed equivalent have the same shape, size, and orientation.
When we speak about geometric figures, the concept of shape, size, and orientation come into play.The defining characteristics of angle measure and line segments play a critical role in determining whether an isometric transformation has occurred. In geometry, angle measures are the measurements of angles in a geometric figure. An angle is formed by two line segments that share a common endpoint. It is a unit used to calculate the measure of a plane figure's interior or exterior, such as a polygon. In other words, the size of the angle doesn't change during an isometric transformation.Line segments are the building blocks of geometric figures. They are used to construct geometric figures such as polygons, triangles, and rectangles, among others. In an isometric transformation, the length of the line segments remains constant because the shape and size of the original figure and its transformed equivalent remain the same.In conclusion, the word "isometric" implies that the transformation has the same measurements of the original figure. It is a transformation that retains the original geometric figures' shape, size, and orientation. The defining characteristics of angle measure and line segments remain unchanged during the isometric transformation. This means that if an isometric transformation occurs, the original and transformed figures have the same measurements of angles and line segments.For such more question on isometric
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please help with this
Answer:
5.5 or simply 6
Step-by-step explanation:
6 = 33
1 = x
6x = 33
x = 5.5 ~6
Find the quotient of 92.4 divided by 2.8
Answer:
33
Step-by-step explanation:
92.4/2.8 = 33
Answer:
[See Below]
Step-by-step explanation:
\(Hey~There!\)
_____________________
→ Divide:
\(92.4\) ÷ \(2.8=33\)For my work shown I have included a picture._____________________
\(Hope~this~helps!\)
\(-Shane,~SpamIsTheMan :)\)
can you help me please
1) from the given figure
There is a line that passes through points (2, 1) and (0, -3)
The rule of the slope of a line passes through two points on a line
(x1, y1) and (x2, y2) is
\(m=\frac{y2-y1}{x2-x1}\)x1 = 2 and y1 = 1
x2 = 0 and y2 = -3
Substitute them in the rule of the slope to find it
\(m=\frac{-3-1}{0-2}=\frac{-4}{-2}=2\)The slope of the line is 2
Very important notes about the slope
1. The slope of the vertical line (parallel to the y-axis) is undefined
2. the slope of the horizontal line (parallel to the x-axis) is zero
make x the subject of the formula in R = ax-p/q+bx
R = (ax - p)/(q + bx)
(ax - p) = R(q + bx)
ax - p = Rq + Rbx
ax - Rbx = Rq + p
x(a - Rb) = Rq + p
x = (Rq + p)/(a - Rb)
For the following data set, what is the median?
Apparent Limits Frequency
50-59 12
40-49 25
30-39 39
20-29 32
10-19 17
Answer:
es sobre máximo común divisor verdad???
What is the domain of y=tan(X)? A. all real numbers where B. all real numbers where C. D.
Find the missing side. 31° Z z = [?] Round to the nearest tenth. Remember: SOHCAHTOA 21
A²+B²= C²
31²+ 21²= z²
961+441 = z²
1402= z²
z= 37.443290454
Two students were asked to find the value of a $1000 item after 3 years. The item was depreciating (losing value) at a rate of 40% per year. Which is incorrect? Explain the error. Student 1: `1000(0.6)^{3}=$216` Student 2: `1000(0.4\right)^{3}=\$64`
Answer:
Student 2 is incorrect because he didn't use the formula properly
Step-by-step explanation:
The exponential function is often used to model natural growing or decaying processes, where the change is proportional to the actual quantity.
An exponential decaying function is expressed as:
\(C(t)=C_o\cdot(1-r)^t\)
Where:
C(t) is the actual value of the function at time t
Co is the initial value of C at t=0
r is the decaying rate, expressed in decimal
The initial value of the item is Co=$1000, the rate of decay is r=40%=0.4, and the time is t=3 years.
Substituting into the formula:
\(C(3)=\$1000\cdot(1-0.4)^3\)
\(C(3)=\$1000\cdot0.6^3\)
C(3)=$216
Student 2 is incorrect because he didn't use the formula properly
what is the mean ? i don’t need work but it could help
Answer:
The median is the middle number; found by ordering all data points and picking out the one in the middle.
You want to put the numbers in order:
47, 49, 49, 50, 52, 57, 57, 57, 61
Then you go one number at a time from both ends until you get into the middle:
47, 49, 49, 50, 52, 57, 57, 57, 61
47, 49, 49, 50, 52, 57, 57, 57, 61
47, 49, 49, 50, 52, 57, 57, 57, 61
47, 49, 49, 50, 52, 57, 57, 57, 61
47, 49, 49, 50, 52, 57, 57, 57, 61
So the answer is 52.
Tip: when you do this and you are left with two numbers that are in the middle, add them and divide them by 2.
Answer:
52
Step-by-step explanation:
Arrange your numbers in numerical order.
Count how many numbers you have.
47, 49, 49, 50, 52, 57, 57, 57, 61
Median = Middle
52 is the number in the middle
X=-2.
ㄱ
f(x) = 2x-2+5
Step-by-step explanation:
from,
f (x) = 2x-2+5
BUT x=-2
f (x) = 2 (-2)-2+5
= -4-2+5
= -6+5
= -1
so,
f (x) = -1
what is (1/2 + isqrt3/2)^5?
Answer:
\((\frac{1}{2}+\frac{\sqrt{3}}{2}i)^5=\frac{1}{2}-\frac{\sqrt{3}}{2}i\)
Step-by-step explanation:
Convert 1/2 + i√3/2 to rectangular form
\(\displaystyle z=a+bi=\frac{1}{2}+\frac{\sqrt{3}}{2}i\\\\r=\sqrt{a^2+b^2}=\sqrt{\biggr(\frac{1}{2}\biggr)^2+\biggr(\frac{\sqrt{3}}{2}\biggr)^2}=\sqrt{\frac{1}{4}+\frac{3}{4}}=\sqrt{1}=1\\\\\theta=\tan^{-1}\biggr(\frac{b}{a}\biggr)=\tan^{-1}\biggr(\frac{\frac{\sqrt{3}}{2}}{\frac{1}{2}}\biggr)=\tan^{-1}(\sqrt{3})=\frac{\pi}{3}\\\\z=\cos\frac{\pi}{3}+i\sin\frac{\pi}{3}\)
Use DeMoivre's Theorem
\(\displaystyle z^n=r^n(\cos(n\theta)+i\sin(n\theta))\\\\z^5=1^5\biggr(\cos\biggr(\frac{5\pi}{3}\biggr)+i\sin\biggr(\frac{5\pi}{3}\biggr)\biggr)\\\\z^5=\frac{1}{2}-\frac{\sqrt{3}}{2}i\)
0.05% of all tax returns filed electronically contain errors, but 20% of all tax returns filed manually contain errors. If 3.3 million tax returns are filed each way, how many more manually filed returns containing errors will there be than electronically filed returns containing errors?
a.
330,825
b.
643,500
c.
321,750
d.
658,350
Answer: d. 658,350
Step-by-step explanation: A total of 3,300,000 of tax returns are filed.
When filed electronically, 0.05% of all the returns contain errors, which means:
3,300,000 * \(\frac{0.05}{100}\) = 1650
When filed manually, 20% contain error:
3,300,000 * 0.2 = 660000
The difference of the number of tax returns that contain error between manually and electronically filed is
660,000 - 1,650 = 658,350
There will be 658,350 tax returns filed manually more than electronically.
The number of manually filed returns containing errors will there be than electronically filed returns containing errors is: d. 658,350.
Number of manually filed return:Using this formula
Number of manually filed returns=(Tax returns filed manually contain errors×Tax return)- (Tax returns filed electronically contain errors× Tax return)
Let plug in the formula
Number of manually filed returns=(20%×3.3 million)-(0.05%×3.3 million)
Number of manually filed returns=660,000-1650
Number of manually filed returns=658,350
Inconclusion the number of manually filed returns containing errors will there be than electronically filed returns containing errors is: d. 658,350.
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which numbers are rational A)-4.34
B)0.43222
C)7.234156
Answer:
C
Step-by-step explanation:
The other 2 aren't rational numbers
I am not completely confident in my answer, so lmk if it's right
Please help me with 15 & 16. Step by Step!!!!
15. The length of a rectangle is four times its width. If its width is x^5 units, what is the area of the rectangle?
16. The width of a rectangular prism is six times its length. The height is five times its length. If its length is m units, what is the volume of the prism?
Answer:
15. 4x¹⁰
16. 30m³
Step-by-step explanation:
15. Area of Rectangle is given by A=LW
since W=x⁵ and L is 4 times W, L=4x⁵
therefore, A = x⁵(4x⁵) = 4x¹⁰
16. Volume of Rectangular Prism is V=LWH
W=6L=6m and H=5L=5m and L=m
so V = m(6m)(5m) = 30m³
(1 point)
A hot air balloon is launched from the ocean beach. As it moves inland, it rises and then falls, having a path given by
p(x)= - 2x^2/2500 +0.7x where x is in metres. The land rises at a rate of 2 vertical metres for each 20 horizontal metres. See the
diagram
a. At what horizontal distance does the balloon reach maximum height above sea level?
b. What is the maximum height of the balloon above seal level?
c. What is the maximum height of the balloon above ground level?
m and
d. At what horizontal distance is the balloon 50 m above the ground? List the smaller value first.
The launching of the hot air balloon is from the ocean beach is an illustration of a projectile motion
The horizontal distance which it attains a maximum heightThe function is given as:
\(p(x) =-\frac{2}{2500}x^2 + 0.7x\)
Differentiate
\(p'(x) =-\frac{4}{2500}x + 0.7\)
Set to 0
\(-\frac{4}{2500}x + 0.7 = 0\)
Subtract 0.7 from both sides
\(-\frac{4}{2500}x =- 0.7\)
Multiply through by -2500/4
\(x =437.5\)
Hence, the horizontal distance which a maximum height is attained is 437.5 meters
The maximum height above the sea levelIn (a), we have:
\(x =437.5\)
Substitute \(x =437.5\) in p(x)
\(p(437.5) =-\frac{2}{2500} * 437.5^2 + 0.7 * 437.5\)
Evaluate
\(p(437.5) =153.125\)
Hence, the maximum height above the sea level is 153.125 metres
The maximum height above the ground levelIn (b), the maximum height above the sea level is 153.125 metres
The ratio of the height on land and sea is given as:
Land : Sea = 2 m : 20 m
For the maximum height, we have:
Land : 153.125 m= 2 m : 20 m
Express as fraction
Land / 153.125 m = 2 /20
Multiply both sides by 153.125
Land = 15.3125
Approximate
Land = 15.3
Hence, the maximum height above the ground level is 15.3 meters
The horizontal distance where the balloon 50 m above the groundWe have:
\(p(x) =-\frac{2}{2500}x^2 + 0.7x\)
Substitute 50 for P(x)
\(-\frac{2}{2500}x^2 + 0.7x = 50\)
Using a graphing calculator, we have:
x = 78.465 and 796.535
Hence, the horizontal distances where the balloon 50 m above the ground are 78.465 and 796.535 meters
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a Carnival charges $5 to enter, and $2 per ride. If you paid a total of $23, how many rides did you go at the carnival
Answer : 8$
you have 1$ left
Malcolm has $50 gift card to a local car wash and order is the ultimate car wash each visit is $8.95
The amount cheaper is the car washes Malcolm orders than the car washes Martha's order is $13.
The correct answer choice is option B.
How much cheaper is the car washes Malcolm orders than the car washes Martha's order?Malcolm's gift card = $50.
Cost Malcolm's car wash per visit = $7
Martha's gift card = $180
Cost Martha's car wash per visit = Difference between gift card balance of first and second visit
= $180 - $160
= $20
How cheap is the car washes Malcolm orders than the car washes Martha's order = $20 - $7
= $13
Therefore, Malcolm's car wash is cheaper than Martha's car wash by $13
The complete question is attached in the diagram.
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Determine the shaded areas part 2
9514 1404 393
Answer:
(a) cannot be determined
(b) 44 cm^2
(c) 87 m^2
(d) 180 m^2
(e) 132 m^2
Step-by-step explanation:
(a) missing a horizontal dimension
__
(b) The difference between the bounding rectangle and the lower-left cutout is ...
(8 cm)(7 cm) -(3 cm)(4 cm) = (56 -12) cm^2 = 44 cm^2
__
(c) The difference between the bounding rectangle and the center cutout is ...
(13 m)(7 m) -(4 m)(1 m) = (91 -4) m^2 = 87 m^2
__
(d) The difference between the bounding rectangle and the two cutouts is ...
(20 m)(25 m) -(16 m)(20 m) = (20 m)(25 -16) m = (20 m)(9 m) = 180 m^2
__
(e) The difference between the bounding rectangle and the two cutouts is ...
(14 m)(12 m) -(12 m)(3 m) = (12 m)(14 -3) m = (12 m)(11 m) = 132 m^2
Pythagorean theorem please help
Answer:
4√73
Step-by-step explanation:
x^2= 12^2 + 32^2
x^2= 144+ 1024
x^2=1168
x= 4√73
la suma de las medidas de dos ángulos 80 grados y el complemento del primer ángulo es el doble de la medida del ángulo calcule la diferencia de las medidas de dichos ángulos
el complemento de un ángulo
Step-by-step explanation:
En este caso 70 ° y 20 ° son complementarios porque 70° + 20° = 90°.
Más ejemplos podrían ser 47° y 43°, ya que 47° + 43° = 90°, 30° y 60°, 45° y 45° , etc.
Dos ángulos son suplementarios si su suma forma un ángulo llano, es decir, 180°.
if c is a positive number, how many solutions does vx=c have?
All cases where v and x are both negative or both positive numbers.
2) Write the Inverse for the following linear function: f(x) f(x) = -x +5 F. F-'(x) = (x - 5) G. 8-1(x) = x +5 1.8-(x) = x - 5 1. f-'(x) = (x + 5)
Answer:
\(f(x)^{-1}=-x+5\)
Step-by-step explanation:
It looks like the function is f(x)=-x+5.
To find the inverse, first replace f(x) with y.
y=-x+5
Switch the y and x.
x=-y+5.
Solve for y.
x-5=-y
-x+5=y
\(f(x)^{-1}=-x+5\)
I hope this helps!
pls ❤ and mark brainliest pls
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B
0
14. The table shows the number of inches of
rain over five months. What would be an
appropriate display of the data? Explain.
(Lesson 2)
Month
Number
of Inches
of Rain
Jan. Feb. Mar.
1.5
2.2
3.6
Apr.
5.3
May
4.8
The graph of the given function is attached.
Given is a function for the rainfall in 5 months in inches.
We need to display the data,
So, as we can see that the data is not showing any proportion or pattern,
So, it can be displayed as a line chart.
Hence the chart is attached for the function.
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How do you find the length of a missing side when you have 2 similar angles?
-4 2/5 divided by (-5)
A. -22/25
B.-8/25
C. 8/25
D. 22/25
Answer:
D. 22/25
Step-by-step explanation:
-4 2/5 divided by (-5) = 0.88 = 22/25
The answer is D
Step-by-step explanation:
I used a calculator
An aquarium tank is $\frac{1}{6}$ full of water. When $2$ gallons of water are added, the tank becomes $\frac{1}{5}$ full. What is the total capacity of the aquarium tank, in gallons?
The total capacity of the aquarium tank is\($60$\) gallons.
Given that an aquarium tank is \($\frac{1}{6}$\) full of water.
When \($2$\) gallons of water are added, the tank becomes\($\frac{1}{5}$\) full .
We have to determine the total capacity of the aquarium tank, in gallons.
The question states that the aquarium is \($\frac{1}{6}$\) full of water.
In other words, \($\frac{1}{6}$\) of the tank is filled with water, and the rest is empty.
Let's assume that the total capacity of the tank is\($x$\)gallons.
Then the amount of water in the tank is \($\frac{1}{6}x$\) gallons.
Now, when \($2$\) gallons of water are added, the tank becomes \($\frac{1}{5}$\) full.
This means that \($\frac{1}{5}$\)of the tank is filled with water, and the rest is empty.
The amount of water in the tank after \($2$\) gallons are added is \($\frac{1}{5}x$\) gallons. We can set up an equation using this information. We know that the amount of water in the tank increased by\($2$\)gallons. Therefore, we can write:
\($$\frac{1}{5}x - \frac{1}{6}x $$\)=2
To solve for x.
we can first find a common denominator of \($30$:$$\frac{6x - 5x}{30}$$\) = 2$$
Simplifying this equation, we get:
\($$\frac{x}{30} = 2$$$$x = 60$$\)
Therefore, the total capacity of the aquarium tank is \($60$\)gallons.
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The editors of a local
newspaper went to lunch to
celebrate birthdays. The
lunch costs $17.8.25 and they
left a 15% tip. What was the
cost of the meal?
Answer:
$111.52
Step-by-step explanation:
You have to divide your total amount by 1.15 and that will give you your answer. To check your work you can add your answer and 15% of your answer together. {111.52+(111.52x0.15)=128.25}
Choose any number, say 20, and divide 729 by 20 ignoring any remainders. " 729/20 = 36 " Find the average of 20 and 36. 20 + 36 / 2 = 28. " Repeat the process until the estimate is the same as the quotient (until the remainder is 0). " 729 / 27 = 27.
Answer:
Answer is solved in the explanation below.
Step-by-step explanation:
Solution:
We have to repeat the process until the estimate is the same as the quotient and remainder = 0. Which can be done only in the case of value = 27 (remainder = 0)
729/27 = 27 (remainder 0)
Let's I am starting this process from 19
So,
729 divided by 19 = 38.3684
Ignoring the remainders
729 divided by 19 = 38
Now, average of 19 and 38 = (19+38)/2 = 28
729 divided by 28 = 26.03
ignoring the remainders = 26
Now, average of 28 and 26 = (28+26)/2= 54/2 = 27
So,
729 divided by 27 = 27
Hence,
estimate is the same as quotient ( and remainder = 0)
Given: m∠9 = 50° and m∠5 = 42°. Find the m∠14. Just type the number of the answer in the answer box.
Answer:
138°Step-by-step explanation:
∡5 = 42°
find: ∡ 14
solution:
since ∡5 = ∡13 = 42°
∡14 = 180 - ∡13
= 180 - 42
= 138°