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3 years ago

Which system about this figure is true?

Mathematics

1 answer:

jok3333 [9.3K]3 years ago

3 0

Answer:

1) It has rotational symmetry with an angle of rotation of 90 degrees.

TRUE, it has rotational degree, FALSE, angle of rotation is 180 degrees

2)It has no reflection symmetry. FALSE

3)It has reflection symmetry with many planes of symmetry. TRUE

4) It has no rotational symmetry. FALSE

Step-by-step explanation:

Rotational Symmetry is when an object is rotated around a center point (turned) a number of degrees and the object appear the same.

Symmetry Order = Number of turns it takes to get to its similar position.

Reflected Symmetry : When a line is drawn which divides the shape in to two equal halves it is called reflective symmetry.

Consider the given figure:

1) It has rotational symmetry with an angle of rotation of 90 degrees.

TRUE, it has rotational degree.

FALSE, it regains its identical shape in 90 degrees, it is in 180 degrees.

2)It has no reflection symmetry.

FALSE, the given figure has reflection symmetry along both horizontal and vertical axis.

3)It has reflection symmetry with many planes of symmetry.

TRUE, it has inflectional symmetry in Horizontal as well a in vertical plane.

4) It has no rotational symmetry.

FALSE, it has a rotational symmetry of ORDER 2

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The cost, in dollars, of a gym membership for n months can be described by the explicit equation Pn = 70 + 30n. What does this e

nadya68 [22]

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Step-by-step explanation:

it tells the gum explicit equation

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3 years ago

A. Do some research and find a city that has experienced population growth.

horrorfan [7]

A. The city we will use is Orlando, Florida, and we are going to examine its population growth from 2000 to 2010. According to the census the population of Orlando was 192,157 in 2000 and 238,300 in 2010. To examine this population growth period, we will use the standard population growth equation $N_{t} =N _{0}e^{rt}$
where:
$N(t)$ is the population after $t$ years
$N_{0}$ is the initial population
$t$ is the time in years
$r$ is the growth rate in decimal form
$e$ is the Euler's constant
We now for our investigation that $N(t)=238300$ , $N_{0} =192157$ , and $t=10$ ; lets replace those values in our equation to find $r$ :
$238300=192157e^{10r}$
$e^{10r} = \frac{238300}{192157}$
$ln(e^{10r} )=ln( \frac{238300}{192157} )$
$r= \frac{ln( \frac{238300}{192157}) }{10}$
$r=0.022$
Now lets multiply $r$ by 100% to obtain our growth rate as a percentage:
$(0.022)(100)$ =2.2%
We just show that Orlando's population has been growing at a rate of 2.2% from 2000 to 2010. Its population increased from 192,157 to 238,300 in ten years.

B. Here we will examine the population decline of Detroit, Michigan over a period of ten years: 2000 to 2010.
Population in 2000: 951,307
Population in 2010: 713,777
We know from our investigation that $N(t)=713777$ , $N_{0} =951307$ , and $t=10$ . Just like before, lets replace those values into our equation to find $r$ :
$713777=951307e^{10r}$
$e^{10r} = \frac{713777}{951307}$
$ln(e^{10r} )=ln( \frac{713777}{951307} )$
$r= \frac{ln( \frac{713777}{951307}) }{10}$
$r=-0.029$
$(-0.029)(100)$ = -2.9%.
We just show that Detroit's population has been declining at a rate of 2.2% from 2000 to 2010. Its population increased from 192,157 to 238,300 in ten years.

C. Final equation from point A: $N(t)=192157e^{0.022t}$ .
Final equation from point B: $N(t)=951307e^{-0.029t}$
Similarities: Both have an initial population and use the same Euler's constant.
Differences: In the equation from point A the exponent is positive, which means that the function is growing; whereas, in equation from point B the exponent is negative, which means that the functions is decaying.

D. To find the year in which the population of Orlando will exceed the population of Detroit, we are going equate both equations $N(t)=192157e^{0.022t}$ and $N(t)=951307e^{-0.029t}$ and solve for t:
$192157e^{0.022t} =951307e^{-0.029t}$
$\frac{192157e^{0.022t} }{951307e^{-0.029t} } =1$
$e^{0.051t} = \frac{951307}{192157}$
$ln(e^{0.051t})=ln( \frac{951307}{192157})$
$t= \frac{ln( \frac{951307}{192157}) }{0.051}$
$t=31.36$
We can conclude that if Orlando's population keeps growing at the same rate and Detroit's keeps declining at the same rate, after 31.36 years in May of 2031 Orlando's population will surpass Detroit's population.

E. Since we know that the population of Detroit as 2000 is 951307, twice that population will be $2(951307)=1902614$ . Now we can rewrite our equation as: $N(t)=1902614e^{-0.029t}$ . The last thing we need to do is equate our Orlando's population growth equation with this new one and solve for t:
$192157e^{0.022t} =1902614e^{-0.029t}$
$\frac{192157e^{0.022t} }{1902614e^{-0.029t} } =1$
$e^{0.051t} = \frac{1902614}{192157}$
$ln(e^{0.051t} )=ln( \frac{1902614}{192157} )$
$t= \frac{ln( \frac{1902614}{192157}) }{0.051}$
$t=44.95$
We can conclude that after 45 years in 2045 the population of Orlando will exceed twice the population of Detroit.

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4 years ago

Each month, a shopkeeper spends 5x+11 dollars on rent and electricity. if he spends 2x-3 dollars on rent, how muck dose he spend

timofeeve [1]

Rent and electricity = 5x + 11
rent = 2x - 3

electricity = (5x + 11) - (2x - 3)
electricity = 5x + 11 - 2x + 3
electricity = 3x + 14

---------------------------------
Answer: 3x + 11
---------------------------------

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3 years ago

Which graph shows the solution to the following equation 2x-5/x^2 = -4

notsponge [240]

Answer:

THE THIRD ONE

Step-by-step explanation:

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3 years ago

Can someone help me with these problems?

arlik [135]

1: 200-75= r

2: 73-29= v
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v=44