Answer:
99.93 [tex]m^{2}[/tex]
Step-by-step explanation:
1. The area of a circle is defined by the equation: A = [tex]\pi r^{2}[/tex]
2. We can plug in the radius and solve the equation: A = [tex]\pi *5.64^{2}[/tex]
3. A = π * 31.8096
4. A = 99.932
5. A = 99.93
Given the function g(x) = x^2 - 5x which statement is not correct ?
Hello,
g(x) = x² - 5x
g(-3) = (-3)² - 5 × 3 = 9 - 15 = - 6 ≠ 24 ⇒ not correct
g(-1) = (-1)² - 5 × (-1) = 1 - 5 = -4 ⇒ correct
g(5) = 5² - 5× 5 = 25 - 25 = 0 ⇒ correct
g(7) = 7² - 5 × 7 = 49 - 35 = 14 ⇒ correct
Someone help, I need answers ASAP pls it’s urgent pls
Select the correct answer from each drop-down menu. ∆ABC has vertices at A(11, 6), B(5, 6), and C(5, 17). ∆XYZ has vertices at X(-10, 5), Y(-12, -2), and Z(-4, 15). ∆MNO has vertices at M(-9, -4), N(-3, -4), and O(-3, -15). ∆JKL has vertices at J(17, -2), K(12, -2), and L(12, 7). ∆PQR has vertices at P(12, 3), Q(12, -2), and R(3, -2). can be shown to be congruent by a sequence of reflections and translations. can be shown to be congruent by a single rotation.
The option that is shown to be congruent by a sequence of reflections and translations is Option B: Triangle ABC and Triangle MNO
Option C: Triangle JKL and Triangle PQR can be shown to be congruent by a single rotation.How are they congruent?Note that:
If ∆MNO can be gotten from ∆ABC then ∆MNO ≅ ∆ABC
To solve for Reflection (x axis), it will be:
The coordinate note for the reflection is (x, y) will be: (x,-y)
Since ∆MNO M(-9, -4), N(-3, -4), and O(-3, -15).
Then the reflections will be:
M(-9, -4)- M1(-9,4)
N(-3, -4)- N1(-3,4)
O(-3,-15)-O1(-3,15)
To solve for Reflection (y axis), it will be:
The coordinate note for the Reflection is (x,y) will be (-x,y)
Since ∆M1N1O1 = M1(-9, 4), N1(-3, 4), and O1(-3, 15).
Then M1(-9, -4) - M2(9,4)
N1(-3, -4) - N2(3,4)
O1(-3,-15)- O2(3,15)
To solve for Translation
The coordinate note for the Translation is (x,y) will be (x+2,y+2)
Since ∆M2N2O2 = M2(9,4), N2(3,4), and O2(3, 15).
Then M2(9, 4) - M3(11,6)=A
N2(3,4) - N3(5,6)=B
O2(3,15) - O3(5,17)=C
Hence ∆MNO ≅ ∆ABC
To know the congruent by a single rotation.
If ∆JKL can be gotten from ∆PQR
Then ∆JKL ≅ ∆PQR
For Rotation of 90 degree in an anticlockwise position, then:
The coordinate note for the Rotation is (x,y) will be (-y, x)
So, ∆JKL = J(17, -2), K(12, -2), and L(12, 7).
J(17, -2)- J1(2,17)
K(12, -2) - K1(2,12)
L(12,7) - L1(-7,12)
To solve for translation
The coordinate note for the translation is (x,y) will be (x+10,y-14)
Then ∆J1K1L1 = J1(2, 17), K1(2, 12), and L1(-7, 12).
Hence J1(2, 17) - J2(12,3) = P
K1(2, 12)- K2(12,-2) = Q
L1(-7, 12)- L2(3,-2) = R
So, ∆JKL ≅ ∆PQR.
So therefore, The option that is shown to be congruent by a sequence of reflections and translations is Option B: Triangle ABC and Triangle MNO
Option C: Triangle JKL and Triangle PQR can be shown to be congruent by a single rotation.See options below
___ can be shown to be congruent by a sequence of reflections and translations.
1)Pick one to go with the sentence.
a Triangle ABC and Triangle XYZ
b Triangle ABC and Triangle MNO
c Triangle JKL and Triangle ABC
d Triangle PQR and Triangle XYZ
___ can be shown to be congruent by a single rotation.
Pick one to go with the sentence.
a Triangle ABC and Triangle XYZ
b Triangle PQR and Triangle XYZ
c Triangle JKL and Triangle PQR
d Triangle JKL and Triangle XYZ
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which statement accurately describes how to reflect point A (3,-1) over the y axis
The reflection over the y-axis only changes the sign of the x-component so the reflected point is A' (-3, -1)
How to reflect point A over the y-axis?Here we can't see the options, so I will teach you how to reflect any point over the y-axis.
Any point on the X-Y plane is defined by its coordinates (x, y).
If we reflect this point over the y-plane, we only change the sign of the x-component of the point.
So after the reflection, we get the point (-x, y).
Then if we apply that reflection to point A (3, -1). We will get the reflected point:
A' (-3, -1)
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Question 6 The volumes of two similar solids are 729m3 and 125m3 The surface area of the larger solid is 324m2. What is the surface area of the smaller solid
Answer:
100 m²
Step-by-step explanation:
The scale factor for volume of similar figures is the cube of the scale factor for linear dimensions. The scale factor for area is the square of that linear dimension scale factor.
Scale factorIf the ratio of volumes is the cube of the scale factor, then the scale factor for the smaller figure in terms of the larger is ...
[tex]k=\sqrt[3]{\dfrac{125\text{ m}^3}{729\text{ m}^3}}=\sqrt[3]{\dfrac{5^3}{9^3}}=\dfrac{5}{9}[/tex]
Smaller areaThe area of the smaller figure is found from ...
[tex]\dfrac{A}{324\text{ m}^2}=\left(\dfrac{5}{9}\right)^2=\dfrac{25}{81}\\\\A=(324\text{ m}^2)\cdot\dfrac{25}{81}=\boxed{100\text{ m}^2}[/tex]
The surface area of the smaller solid is 100 square meters.
__
Additional comment
The least surface area for a given volume is that of a sphere. The larger volume given corresponds to a sphere with a radius of about 5.583 meters. Such a sphere will have an area of about 391.7 square meters. There is no known physical object with a volume of 729 m³ that can have a surface area as little as 324 m².
pls help on algebra homework!! will mark brainliest!
Answer:
32
Step-by-step explanation:
YZ = ⅗XY.
XY = 20
20 / 5 x 3 = 12
YZ = 12
XZ = YZ + XY
XZ = 20 + 12
XZ = 32
Work is attached. Hope it helps!
is translation a and b?
what is the relationship between the radius, surface area and volume of a cylinder?
Answer:
A cylinder's volume is π r² h, and its surface area is 2π r h + 2π r².
x³/x=x²
FACTORISE this term .show the process as well.
first know it in a simple way
that,3-1=2 right so if we add base and numbers in power , because it has same base when x i.e x to the power 1 goes up
Step-by-step explanation:
x^3/x^1
now
x^3 *x^-1
x^3-1
x^2
proved
On april 1 of the current year, a company purchased and placed in service a machine with a cost of $240,000. the company estimated the machine's useful life to be four years or 60,000 units of output with an estimated salvage value of $60,000. during the current year, 12,000 units were produced. prepare the necessary december 31 adjusting journal entry to record depreciation for the current year assuming the company uses: a. the straight-line method of depreciation b. the units-of-production method of depreciation c. the double-declining balance method of depreciation
The answers to the questions are:
a. $33,750b. $36000c. $90000a. the straight-line method of depreciation
[tex]\frac{cost of machine - salvage}{useful life} * period[/tex]
= (240000 - 60000) / 4 * (9 / 12)
= $33,750
The debit is 33750 as well as the credit
b. the units-of-production method of depreciation
(240000 - 60000) / 60000 * 12000
= $36000
c. the double-declining balance method of depreciation
(24000 *2 /4) * (9/12)
= $90000
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What is slope-intercept form
Answer:
y=mx+b
Step-by-step explanation:
Slope intercept form is y=mx+b where "m" should be substituted with the slope and "b" stands for the y-intercept value. "x" and "y" are your input and output values respectively.
A drugstore sells vitamins in bottles with different pill counts. The price of each bottle is shown in the table below.
The price of one pill is approximately $0.04.
What is the price of one pill?Division is the mathematical operation used in grouping a number into equal parts using another number. The price of one pill can be determined by dividing the total cost of a number of pills by that number.
Price of one pill = cost of 50 pills / 50
$2.05 / 50 = $0.04
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What are the four steps for multiply rational expressions as seen in the lesson
Really short Question; Please help and Show your Work! I would rate you 5 stars or anything you like
Answer:
about 94.41°
Step-by-step explanation:
The Law of Cosines can be used to find an angle in a triangle with three sides given.
SetupThe law of cosines relation generally relates the side opposite the angle to the other measures in the triangle:
r² = p² +q² -2pq·cos(R)
SolutionWe want to find the measure of angle R, so we solve the equation for that:
2pq·cos(R) = p² +q² -r² . . . . . . add 2pq·cos(R)-r²
cos(R) = (p² +q² -r²)/(2pq) . . . . divide by the coefficient of the cosine
We can fill in the given side lengths at this point:
cos(R) = (13² +10² -17²)/(2·13·10) = -20/260 = -1/13
Then the angle can be found using the arccos function:
R = arccos(-1/13) ≈ 94.41°
The measure of angle R is about 94.41°.
__
Additional comment
When you have done a few of these, you recognize that the angle opposite side 'c' is ...
C = arccos((a² +b² -c²)/(2ab))
A calculator can make short work of this. The second attachment shows the evaluation of this expression with a=10, b=13, c=17. The calculator angle mode is set to degrees. The arccos function is the 2ND function of the Cos key.
A particular brand of cell phone case is available in four different styles and each style comes in three colors. How many different cases are available
Answer:
12
Step-by-step explanation:
the number of the available cases is :
3 × 4 = 12
Please Answer Asap!!! Write the equation based on the graph of the following base 2 logarithmic function:
The graph of the logarithmic function that passes through (-2,-2) and (1,0) is [tex]\log_2(x+3)-2[/tex].
Suppose that the function is
[tex]f(x)=\log_2(x+c)+d[/tex]
Then there are two observations that we must consider from the figure
The graph must pass through (-2,-2) and (1,0)So,
[tex]-2=\log_2(-2+c)+d[/tex]
[tex]\implies -2+c=e^{-2-d} ...~...~(1)[/tex]
And,
[tex]0=\log_2(1+c)+d\\\implies 1+c=e^{-d} ~...~...~(2)[/tex]
Observe the figure given below we see that the graph of
[tex]\log_2(x)[/tex] passes through (1,0) but does not pass through (-2,-2) and the graph is to the right of (-2,-2) hence, we need the graph to move left.
When we increase c the graph [tex]\log_2(x+c)+d[/tex] moves left and
When we decrease d then the graph [tex]\log_2(x+c)+d[/tex] moves down.
That makes the graph required to be [tex]\log_2(x+3)-2[/tex].
Hence, the graph of the logarithmic function that passes through (-2,-2) and (1,0) is [tex]\log_2(x+3)-2[/tex].
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Please help 15 points
Since in each option, each input is mapped to only one output, all the options are correct.
When a relationship represents a function?A relationship represents a function when each input is mapped to only one output.
In this problem:
For the Venn sets, only one line departs each value of x, hence it is a function.For the ordered pairs, each value of x(2, 5 and -4), is mapped to only one value of y, hence it is a function.The graph has no vertically aligned points, hence it is a function.Thus all the options are correct.
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math!! please please helppp!!!
What is the slope of the line below?
(i attached an image)
a) (0,4)
b) -1/3
c) (-1.5,0)
d) 3
e) 4
f) (0,4)
g) -3
h) 1/3
Answer:
The slope is 3
Step-by-step explanation:
it is 3 up and 1 across, which is 3/1 = 3
Answer:
3
Step-by-step explanation:
Look at the two lower dots shown on the line.
slope = rise/run
The vertical distance from the lower point to the higher point is 3. That is the rise.
The horizontal distance from the lower point to the higher point is 1. That is the run.
slope = 3/1 = 3
Answer: 3
Find a 95% confidence interval for the mean amount of time spent on this ride. Round the values in your confidence interval to two decimal places. The 95% percent confidence interval is
95% confidence interval is 1.96
A confidence interval is defined as the range of values that we observe in our sample and for which we expect to find the value that accurately reflects the population.
For 95% confidence interval, we will keep 95% area in the center and will divide the remaining area equally on both sides.
From Standard Normal table, P(-1.96 < Z < 1.96) = 0.95, i.e., there is a 95% probability that a standard normal variable, Z, will fall between -1.96 and 1.96.
Hence 95% percent confidence interval is 1.96
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Necesito saber
El cuádruplo de su anterior es igual al cubo de menos cuatro
Y tambien un ejercio aparte que dice
La tercera parte de su siguiente es igual al anterior de menos diez
Las expresiones matemáticas descritas son: (x-1)4=-4³ y 1/3(x+1)=(-10)-1.
¿Cómo identificar las expresiones matemáticas?Para identificar las expresiones matemáticas debemos organizar los datos proporcionados en el fragmento de la siguiente manera:
El cuádruplo de su anterior es igual al cubo de menos cuatro: (x-1)4=-4³La tercera parte de su siguiente es igual al anterior de menos diez: 1/3(x+1)=(-10)-1Luego debemos solucionar las expresiones matemáticas para encontrar el resultado final:
A. (x-1)4 = -4³
4x-4 = -64
4x = -64+4
4x = -60
x = -60/4
x = -15
B. 1/3(x+1) = (-10)-1
1/3x+1/3 = -11
1/3x = -11-1/3
1/3x = -32/3
x = -32/3•3
x = -32
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la suma de dos ángulos internos es siempre mayor que la medida del tercer ángulo
verdadero o falso y por que
Utilizando el triangulo rectangulo como contraejemplo, veremos que esto es falso.
¿Es la propicición verdadera o falsa?Primero, sabemos que para todo triangulo la suma de sus angulos internos es igual que 180°.
Ahora, vamos a el triangulo más comun. El triangulo rectangulo.
Este es el triangulo que tiene uno de sus angulos internos igual a 90°.
Digamos que los otros dos angulos internos son A y B, entonces tendriamos:
A + B + 90° = 180°
Despejando A + B obtenemos:
A + B = 180° - 90° = 90°
A + B = 90°
Entonces vemos que la suma de estos dos angulos internos es igual que el tercer angulo.
Encontramos un contraejemplo de la proposición, asi, concluimos que la proposición es falsa.
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The __________ states that as a procedure is repeated again and again and again and again, the probability tends to approach the actual probability.
Answer:
Law of large Numbers
Step-by-step explanation:
The Law of large numbers.
What is the Law of natural numbers?The law of large numbers plays the main role in probability and statistics. It means that if you repeat an experiment independently so many times and average the result, what you get has to be close to the expected value.
An example of the Law of Large Numbers:
Let's assume that you rolled the dice three times and the outcomes were 6, 6, and 3. Then the average result is 5.
So, according to the law of the large numbers, if we roll the dice a large no. of times, then the average result should be closer to the expected value.
It also states that probability and statistics set a sample size that grows, and the mean of the sample size gets closer to the average of the entire population.
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the sum of lengths of two legs of a right angle triangle is 14 cm and its area is 24 cm square find the perimeter of the triangle
Identify the line with an undefined slope
Answer:
d. vertical line
Step-by-step explanation:
A line with an undefined slope is a vertical line
Slope is the change in y over the change in x
When the slope is undefined, it means that the x does not change, which is a vertical line
Answer:
Line D
Step-by-step explanation:
Slope is defined as rise/run. Since a vertical line has zero run and infinite rise the equation is infinity/0 and anything divided by zero is undefined.
Therea re 8 kids at a birthday party. If there are 6 girls and 2 boys at the party, what draction of the kids are girls?
Answer:
3/4
Step-by-step explanation:
The total number of children is 8 and the number of girls is 6. This can be represented as 6/8.
You would then need to simplify...
6/2=3
8/2=4
which which lead you to 3/4!
A rectangular plot is to be fenced off and divided into three parts/plots on land that borders a barn. If you do not fence the side along the barn, find the length and width of the plot that will maximize the area if you have 200 feet of fence. What is the largest area that can be enclosed
5000 square feet is the largest area that can be enclosed
It is given that a rectangular plot is to be fenced off and divided into three parts/plots on land that borders a barn there are and there is 200 feet of fence that is available.
One-fourth of the perimeter = 50
The other width also equals 50.
So the length of fencing = 200 - 50 - 50 = 100
So the area = 50 x 100 = 5000 square feet.
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The idea that you can empower players to seamlessly generate new content to a game continuously to keep the game fresh: Group of answer choices Loot boxes
User-generated content is the idea that you can empower players to seamlessly generate new content to a game continuously to keep the game fresh.
User-generated content (also known as UGC or consumer-generated content material) is original, emblem-particular content material created by customers and published on social media or other channels. UGC comes in many paperwork, inclusive of photos, films, opinions, a testimonial, or even a podcast.
User-generated content (UGC) has become an essential part of the content material advertising method within the present day era in which customers are prepared to rave about your products or services online. UGC refers to the content this is created through the users of a logo.
Types of User-Generated Content
Social media content.Reviews and testimonials.Blog posts.Video content (including live streaming and AR lenses/filters)Q&A Forums (including comments)Case studies.Learn more about User-Generated Content here https://brainly.com/question/20900221
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Avery solves the equation below by first squaring both sides of the equation.
√z^2+8 = 1 -2z
What extraneous solution does Avery obtain?
z= ?
[tex]\left(\sqrt{z^{2}+8} \right)^{2}=(1-2z)^{2}\\\\z^{2}+8=4z^{2}-4z+1\\\\0=3z^{2}-4z-7\\\\0=(z+1)(3z-7)\\\\z=-1, z=\frac{7}{3}[/tex]
We know that if z=7/3, the right-hand side will be negative, which means it is an extraneous solution as square roots cannot be negative.
Multiply Conjugates Using the Product of Conjugates Pattern
In the following exercises, multiply each pair of conjugates using the Product of Conjugates Pattern
332. (5 − 3x)(5 + 3x)
Answer:
The product is the difference of squares is [tex]$$\left(5-3x\right)\left(5+3x\right)=25-9{{x}^2}$$[/tex]
Step-by-step explanation:
Explanation
The given expression is (5-3 x)(5+3x).We have to multiply the given expression.Square the first term 5. Square the last term 3x.[tex]$$\begin{aligned}&(5-3 x)(5+3 x)=(5)^{2}-(3 x)^{2} \\&(5-3 x)(5+3 x)=25-9 x^{2}\end{aligned}$$[/tex]
There are 210 rabbits at the farm. For every 5 gray rabbits, there are 2 white rabbits. How many white rabbits are at the farm
The number of white rabbits that are at the farm is 60
Calculating quantityFrom the question, we are to determine the number of white rabbits that are at the farm
From the given information,
There are 210 rabbits at the farm
and
For every 5 gray rabbits, there are 2 white rabbits
Then, we can write that
5x + 2x = 210
Where x is the number of groups of 5 gray rabbits and 2 white rabbits
Then,
7x = 210
x = 210/7
x = 30
The number of white rabbits is 2x
∴ Number of white rabbits = 2×30
Number of white rabbits = 60
Hence, the number of white rabbits that are at the farm is 60
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