I will give u brainliest
option 1 is correct , trigonometric ratio to solve for the missing side is sine.
How can we find the trigonometric ratio ?we have an angle of 54 degrees and a hypotenuse of 12 units. We can use trigonometric ratios to solve for the missing side, which is the perpendicular side.
In a right triangle, the three primary trigonometric ratios are:
Sine (sin): the ratio of the length of the side opposite the angle to the hypotenuse.
Cosine (cos): the ratio of the length of the side adjacent to the angle to the hypotenuse.
Tangent (tan): the ratio of the length of the side opposite the angle to the length of the side adjacent to the angle.
Given that we know the hypotenuse (12 units) and the angle (54 degrees), we can use the sine ratio to solve for the length of the perpendicular side. The sine ratio is defined as:
sin(x) = opposite/hypotenuse
Plugging in the given values:
sin(54 degrees) = opposite/12
To solve for the length of the perpendicular side (opposite), we can rearrange the equation:
opposite = sin(54 degrees) * 12
Using a calculator, we can find the value of sin(54 degrees) and multiply it by 12 to find the length of the perpendicular side.
therefore, option 1 is correct , trigonometric ratio to solve for the missing side is sine.
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pepsi for a sales promotion the manufactuere places winning symbols under the caps of 10% of all pepsi bottles you buy a six pack what is the probability that you win something
The probability of winning something from the Pepsi sales promotion with winning symbols under the caps of 10% of all Pepsi bottles in a six-pack is 46.9%.
The probability of winning something from the Pepsi sales promotion depends on the total number of bottles in the six-pack and the percentage of bottles with winning symbols under the caps.
Assuming that the six-pack contains six bottles, and 10% of all Pepsi bottles have winning symbols under the cap, the probability of winning something from the promotion can be calculated using the following formula:
Probability of winning = Number of bottles with winning symbols / Total number of bottles
Since 10% of all Pepsi bottles have winning symbols, the probability of finding a winning symbol under one bottle cap is 10%. Therefore, the probability of winning from a six-pack is the same as finding at least one winning bottle cap in six bottles.
To calculate the probability of winning, we can use the complement rule, which states that the probability of an event occurring is equal to one minus the probability of the event not occurring.
So, the probability of not winning from a single bottle is 1 - 0.1 = 0.9. The probability of not winning from all six bottles is 0.9^6 = 0.531. Therefore, the probability of winning something from a six-pack is 1 - 0.531 = 0.469 or 46.9%.
In conclusion, the probability of winning something from the Pepsi sales promotion with winning symbols under the caps of 10% of all Pepsi bottles in a six-pack is 46.9%. This means that nearly half of the customers who buy a six-pack are likely to win something from the promotion.
However, it is important to note that this probability may vary depending on the total number of bottles and the percentage of winning symbols used in the promotion.
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what is the function showing the total amount of money julia has after x weeks ? use the variable X
The linear function that represent the situation is as follows:
f(x) = 27x + 254
How to represent a function?A function relates input and output values.
Julia has 254 dollars. Each week she saves an additional 27 dollars .
Therefore, the function that models the amount of money Julia has after x week can be represented as follows:
The function is a linear function. A linear function can be represented in the form as follows:
y = mx + b
where
m = slopeb = y-interceptTherefore,
f(x) = 27x + 254
where
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Please help me I cant solve this
The measure of the angle m∠HLK subtended by the arc HK is derived to be equal to 45°.
What is angle subtended by an arc at the centerThe angle subtended by an arc of a circle at it's center is twice the angle it substends anywhere on the circles circumference.
Given that the arc HK = 90°
arc measure and the angle it subtends at the center of the circle are directly proportional.
so arc HK = m∠HJK = 90°
m∠HJK = 2(m∠HLK)
2(m∠HLK) = 90°
m∠HLK = 90°/2 {divide through by 2}
m∠HLK = 45°
Therefore, the measure of the angle m∠HLK subtended by the arc HK is derived to be equal to 45°.
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The downside of using an interface for integration is that the data will not be as ________ as it would be if it were integrated more directly.
A) accurate
B) timely
C) economical
D) valuable
The downside of using an interface for integration is that the data will not be as accurate as it would be if it were integrated more directly.
When it comes to integrating data between different systems or applications, there are different approaches that can be taken.
One common method is to use an interface, which acts as a bridge between the two systems and facilitates the exchange of data.
However, while interfaces can be useful for integrating data, there are some downsides to this approach, including the potential for reduced accuracy.
The reason for this is that interfaces often require data to be transformed or mapped between the two systems, which can introduce errors or inconsistencies.
For example, if the data in one system is stored in a different format or with different data types than the other system, this may need to be converted before it can be transferred.
Similarly, if there are differences in the way that data is organized or labeled in the two systems, this can create challenges when integrating the data.
In contrast, more direct methods of integration, such as database replication or data synchronization, can be more accurate since they involve copying data directly from one system to another without the need for transformation or mapping.
However, these methods can also be more complex and costly to set up and maintain.
Ultimately, the choice of integration method will depend on the specific needs and constraints of the organization. While interfaces may have some drawbacks in terms of data accuracy, they can still be a useful tool for integrating data in many situations.
It is important to carefully consider the tradeoffs between different integration methods and choose the one that best meets the needs of the business.
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5
2 points
Reflect the given rectangle over the y-axis.
C
B
D
A
Which best describes the location of the image of vertex B?
(8,-9)
(-9,8)
(-8,9)
(9,-8)
The image of vertex C is closest to point A=(3,0).
What is transformation?
A transformation is a process or operation that changes the position, shape, or orientation of a geometric figure or an object in space.
When a point is reflected over the x-axis, its y-coordinate changes sign (positive becomes negative, and negative becomes positive), while its x-coordinate remains the same.
In this case, if point C is reflected over the x-axis, its image will be (-3, -5) because the x-coordinate remains the same (3), and the y-coordinate changes sign from positive to negative.
We can now find the closest point to the image of vertex C, which is (-3, -5), among the given options:
Distance from (-3, -5) to A=(3,0):
d = √((3 - (-3))² + (0 - (-5))²) = sqrt(6² + 5²) ≈ 7.81
Distance from (-3, -5) to B=(6,0):
d = √((6 - (-3))² + (0 - (-5))²) = √(9² + 5²) ≈ 9.43
Therefore, the image of vertex C is closest to point A=(3,0).
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what is the difference between 1/2 and 1/2%
Answer:
1/2 is half a number while 1/2% means 50%
Ima be giving brainliest plus help!!!!!!!
Answer:
32 degrees
Step-by-step explanation:
Recall the three main trig functions: sine, cosine, and tangent.
When using sine, we divide the opposite side from the angle by the hypothenuse.
When using cosine, we divide the adjacent side of the angle by the hypothenuse.
When using tangent, we divide the opposite side from the angle by the adjacent side to the angle.
Since we are given the opposite and adjacent sides, we'll use tangent.
We set up the equation like normal:
tan x [tex]= \frac{13}{21}[/tex]
Now, when finding the angle measurement using trig, we must use the opposing trig function, arcsine, arccosine, and arctangent. The opposing trig function is arctangent. We have to move arctangent to the other side, so that it can be used with the fraction, so:
[tex]x = arctan(\frac{13}{21} )[/tex]
(You would also write arctan, as tan with an exponent of -1) Now, just punch the right side of the equation into a calculator. The nearest degree is 32.
Therefore, the answer is 32 degrees. If you got something different, make sure your calculator is in degrees, not radians! (They are usually abbreviated as DEG and RAD.)
Justin paid
$10. 47
for a
6. 08
-
kg
bag of dog food. A few weeks later, he paid
$13. 88
for a
7. 48
-
kg
bag at a different store.
Find the unit price for each bag. Then state which bag is the better buy based on the unit price.
Round your answers to the nearest cent.
Unit price for the
6. 08
-
kg
bag:
$perkg
Unit price for the
7. 48
-
kg
bag:
$perkg
The better buy:The
6. 08
-
kg
bagThe
7. 48
-
kg
bagNeither (They have the same unit price)
The Unit-Price for first-bag is $1.72/kg and for second-bag is $1.86/kg, then the first-bag is cheaper compared to the second-bag with a unit-price.
The "Unit-Price" refers to the cost of dog food per kilogram. It is calculated by dividing the "total-cost" of the bag of dog-food by its weight in kilograms.
⇒ For the first bag of dog food:
The Cost is = $10.47,
The Weight is = 6.08 kg,
So, the Unit-Price is = Cost/Weight = $10.47/6.08 kg ≈ $1.72/kg,
⇒ For the second bag of dog food:
The Cost is = $13.88,
The Weight is = 7.48 kg,
So, the Unit Price will be = Cost/Weight = $13.88/7.48 kg ≈ $1.86/kg,
Based on the "unit-prices" calculated, the first bag of dog food has a unit price of $1.72 per kilogram, and the second bag has a unit price of $1.86 per kilogram.
Therefore, the first bag of dog food is the better-buy as it is cheaper compared to the second bag.
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The given question is incomplete, the complete question is
Justin paid $10.47 for a 6.08-Kg bag of dog food. A few weeks later, he paid $13.88 for a 7.48-kg bag at a different store. Find the unit price for each bag. Then state which bag is the better buy based on the unit price.
a youth soccer coach much choose 4 of his 8 players to go into a game. in how many ways can this be done?
Read each question carefully. Choose the answer that best completes the sentence.
Debt is usually expected in any of the following cases EXCEPT
O A. purchase of house
OB. credit card purchases
OC. purchase of car
O D. educational loans
nswered
The correct answer is,
Debt is usually expected in any of the following cases EXCEPT ''purchase of car.''
We have to given that;
Debt is usually expected in any of the following cases EXCEPT ....
Now, We know that;
it's important to note that there may be individual situations where debt is expected when buying a car.
Hence, The correct answer is,
Debt is usually expected in any of the following cases EXCEPT ''purchase of car.''
Thus, Option C is true.
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Han draws a triangle with a 50 angle, a 40 angle, and a side of length 4 cm as shown. His instructions were to draw as many triangles as possible.
According to the information, We can continue drawing more triangles by varying the angles in different ways.
How to draw triangles?Since the given triangle has one side with a fixed length of 4 cm, we can draw an infinite number of triangles by varying the other two angles.
To draw the second triangle, we can keep the 50 degree angle fixed and change the 40 degree angle. For example, we could draw a triangle with a 50 degree angle, a 60 degree angle, and a side of length 4 cm.
To draw the third triangle, we can keep the 40 degree angle fixed and change the 50 degree angle. For example, we could draw a triangle with a 30 degree angle, a 40 degree angle, and a side of length 4 cm.
We can continue drawing more triangles by varying the angles in different ways.
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PLEASE HELP ME WHOVER GEST IT RIGHT WILL BE THE BRAINLIEST
Answer:
Step-by-step explanation:
<ABC is 72 degrees.
1) This triangle is isosceles because two sides are equivalent. Thus, <C and <B are the same.
2) We know that <A + <B + <C = 180 in total
3. x + 2x + 2x = 5x
5x = 180
x = 36
4. <ABC = 2x = 2(36) = 72
1. the general term of a sequence is 4n - 1 which time is a. 15 b. 83
Answer:
the answer of the sequence is a
I know the answer is 9 but can someone explain it?
Answer:
A
Step-by-step explanation:
[tex]\frac{9x+7}{2}[/tex] - [ x - [ [tex]\frac{-2}{7}[/tex] ]] = 36← distribute bracket by - 1
[tex]\frac{9x+7}{2}[/tex] - x +[tex]\frac{x-2}{7}[/tex] = 36
multiply through by 14 ( the LCM of 2 and 7 ) to clear the fractions
7(9x + 7) - 14x + 2(x - 2) = 504 ← distribute parenthesis on left side
63x + 49 - 14x +2x - 4 = 504 ← simplify left side
51x + 45 = 504 ( subtract 45 from both sides )
51x = 459 ( divide both sides by 51 )
x = 9
The temperature in an oven increases by 8 degrees every minute. If the starting temperature of the oven is 250. What will the temperature be in 3 minutes?
Answer: 274 degrees.
Step-by-step explanation:
If the temperature in an oven increases by 8 degrees every minute, then in 3 minutes the temperature will increase by 8 x 3 = 24 degrees.
Therefore, the temperature in the oven after 3 minutes will be:
250 + 24 = 274 degrees.
PLEASEEEE HELP ME I NEEEED AN EXPERT TO DO THIS ):
Answer: B
Step-by-step explanation:
Answer:
The answer is B) -35.16 grams per half-life cycle
1. In your own words, describe the following:
a.) Cartesian Coordinate System
b.) The uses of the system
c.) Who developed the system?
d.) Historically, why is the system unique?
2. Use the list below to write the correct term for each definition on the line provided.
axes (of a graph) coordinates coordinate grid intersection number line ordered pair
origin quadrant x-axis
x-coordinate y-axis y-coordinate
a.) the first number of an ordered pair
b.) the second number of an ordered pair
c.) any of four regions formed by the axes in a rectangular coordinate system
d.) the point at which two lines meet
e.) numbers that correspond to points on a graph in the form (x, y)
f.) the intersection of the x-axis and y-axis in a coordinate plane, described by (0,0)
g.) the horizontal and vertical number lines used in a rectangular graph or coordinate grid system as a fixed reference for determining the position of a point
h.) the vertical ( ) axis on a coordinate plane
i.) the horizontal ( ) axis on a coordinate plane
j.) a line on which numbers can be written or visualized
k.) the location of a single point on a rectangular coordinate system where the digits represent the position relative to the x-axis and y-axis Example: (x, y) or (3, 4)
l.) network of evenly spaced, parallel horizontal and vertical lines especially designed for locating points, displaying data, or drawing maps
The Cartesian Coordinate System is a method used to represent points in a plane by using two numerical values called coordinates
What is the Cartesian Coordinate System?a.) . These coordinates represent the distances of the point from a fixed reference point called the origin, along two perpendicular axes called the x-axis (horizontal) and y-axis (vertical).
b.) The system is used for various purposes, such as plotting points and lines in geometry, graphing functions in mathematics, analyzing data in statistics, designing objects in computer-aided design, and representing locations in geography and mapping.
c.) The system was developed by the French mathematician and philosopher René Descartes in the 17th century.
d.) Historically, the system is unique because it introduced a method of visualizing and analyzing geometric shapes and algebraic equations using a common framework, which enabled the development of analytic geometry and the fusion of algebra and geometry.
a.) x-coordinate
b.) y-coordinate
c.) quadrant
d.) intersection
e.) coordinates
f.) origin
g.) axes (of a graph)
h.) y-axis
i.) x-axis
j.) number line
k.) ordered pair
l.) coordinate grid
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a solenoid 1.30 m long and 2.60 cm in diameter carries a currentof 18.0 a. the magnetic field inside the solenoid is 23.0 mt.find the length of the wire forming the solenoid.
The length of wire per unit length is 8.168 cm.
What is solenoid?Its function is to produce a regulated magnetic field through a coil twisted into a compact helix. The solenoid is a sort of electromagnet.
The magnetic field inside a solenoid is given by:
B = u*n*I
where B is the magnetic field, u is the permeability of free space, n is the number of turns per unit length, and I is the current.
The number of turns in a solenoid is given by:
N = n*L
where N is the total number of turns, L is the length of the solenoid, and n is the number of turns per unit length.
Therefore, the magnetic field can be written as:
B = u*N*I/L
Rearranging this equation, we get:
L = u*N*I/B
Substituting the given values, we get:
L = (4*pi*10⁻⁷)*(N=?) * (I=18.0 A) / (B=23.0 mT)
The number of turns per unit length is not given, so we cannot determine the total number of turns N. However, we can calculate the length of wire per unit length by using the formula for the circumference of a circle:
C = 2*pi*r
where r is the radius of the solenoid.
Substituting the given values, we get:
C = 2*pi*(d/2) = pi*d = 8.168 cm
Therefore, the length of wire per unit length is 8.168 cm.
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Two classmates have decided to read all the volumes in a popular series of books. Eva has already read 4 volumes and will continue to read new ones at a rate of 2 volumes per week. Maria, who hasn't started reading the series yet, will read 4 volumes per week. At some point, Maria will catch up with Eva and they will be reading the same book. How many volumes will each girl have read by then? How long will that take?
Thus, the number of volume read by both Eva and Maria in total 2 weeks is 8.
Explain about the slope of function:Slope is a crucial topic in economics because it's used to gauge how quickly things are changing.
The slope expresses how quickly the dependent variable changes when the independent variable changes. The line becomes steeper as the slope increases.
Given data:
Number of volume read by Eva = 4Rate of reading by Eva = 2 volume per weekNumber of volume read by Maria = 0Rate of reading by Maria = 4 volume per weekNow,
Let the number of weeks at which both read the equal number of volume be x.
Total number of volume be y
So,
For Eva: y = 4 + 2x
For Maria: 0 + 4x
Equating both equations:
4 + 2x = 4x
4x - 2x = 4
2x = 4
x = 4/2
x = 2
Number of volumes read by each girl:
For Eva: y = 4 + 2(2)= 8
For Maria: 0 + 4(2) = 8
Thus, the number of volume read by both Eva and Maria in total 2 weeks is 8.
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A company boss is planning on ordering a gift for each of his employee in his company
The company boss is planning on ordering a gift for each of his employees.
This can be a great way to show appreciation for their hard work and dedication. When boss is planning to choosing gifts, it's important to consider the company culture and values, as well as the individual preferences and interests of each employee.
Some popular gift ideas include personalized items such as mugs or keychains, gift cards to local restaurants or stores, or company branded merchandise such as t-shirts or hats. Whatever the gift may be, it's important to make sure that it's thoughtful and meaningful to show that the boss truly values and appreciates the hard work of his employees.
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how do i bypass the answer limit on here
Answer: by watching videos
Step-by-step explanation:
Answer: Watch a video or do your best to scroll down as soon as the website loads. The scrolling worked for me before but you get about 5 seconds before you can't see it anymore.
Step-by-step explanation:
Let r and s be the usual generators for the dihedral group of order 8...
Part a)
list the elements of D8 as 1,r,r^2,r^3,s,sr,sr^2,sr^3 and label these with the integers
1,2,...,8 respectively. Exhibit the image of each element of D8 under the left regular representation of D8 into S8....
Each element of D8 is mapped to a permutation of {1, 2, 3, 4, 5, 6, 7, 8} by considering its action on the labeled generators 1, 2, ..., 8 under composition.
The elements of D8 are 1, r,[tex]r^2, r^3, s, sr, sr^2, sr^3,[/tex] which we can label with the integers 1, 2, 3, 4, 5, 6, 7, 8 respectively. The left regular representation of D8 into S8 is given by:
1 → (1)(2)(3)(4)(5)(6)(7)(8)
r → (1 2 3 4)(5 6 7 8)
[tex]r^2[/tex] → (1 3)(2 4)(5 7)(6 8)
[tex]r^3[/tex]→ (1 4 3 2)(5 8 7 6)
s → (1 2)(3 4)(5 6)(7 8)
sr → (1 8 3 6)(2 7 4 5)
[tex]sr^2[/tex]→ (1 4)(2 3)(5 8)(6 7)
[tex]sr^3[/tex] → (1 6 3 8)(2 5 4 7)
Here, each element of D8 is mapped to a permutation of {1, 2, 3, 4, 5, 6, 7, 8} by considering its action on the labeled generators 1, 2, ..., 8 under composition.
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We have exhibited the image of each element of D8 under the left regular representation into S8, represented as a product of disjoint cycles.
The left regular representation of D8 is a homomorphism from D8 to the symmetric group S8, where each element of D8 is represented as a permutation of the set {1, 2, ..., 8}.
Using the generators r and s, we can construct the elements of D8 as follows:
[tex]r^0[/tex] = 1
[tex]r^1[/tex]= r
[tex]r^2[/tex] = rr
[tex]r^3[/tex] = rrr
[tex]s^0[/tex]= 1
[tex]s^1[/tex] = s
[tex]s^2[/tex] = 1
[tex]s^3[/tex] = ss
Now, let's apply the left regular representation to each element of D8:
1 → (1 2 3 4 5 6 7 8)
r → (1 2 3 4 5 6 7 8)(1 2)
[tex]r^2[/tex] → (1 2 3 4 5 6 7 8)(1 3)(2 4)
[tex]r^3[/tex]→ (1 2 3 4 5 6 7 8)(1 4 3 2)
s → (1 8)(2 7)(3 6)(4 5)
sr → (1 7 3 5)(2 8 4 6)
[tex]sr^2[/tex] → (1 6 3 2)(4 7 5 8)
[tex]sr^3[/tex] → (1 5)(2 6)(3 7)(4 8)
Note that we can represent each permutation as a product of disjoint cycles, where each cycle corresponds to an orbit under the action of the permutation. For example, the permutation corresponding to r is a product of two cycles: (1 2) and (3 4 5 6 7 8). This means that r fixes the elements 1 and 2, and permutes the elements 3, 4, 5, 6, 7, and 8 cyclically. Similarly, the permutation corresponding to s is a product of four cycles: (1 8), (2 7), (3 6), and (4 5), which means that s fixes the pairs (1, 8), (2, 7), (3, 6), and (4, 5), and transposes each pair.
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The circumference of a circle is 7(pie)cm. What is the area, in square centimeters?
Express your answer in terms of TT(pie).
If circumference of a circle is 7π cm then area of circle is 38.465 square centimeter
The circumference of a circle is 7π cm
We have to find the area of the circle
To find area we have to know the radius
Circumference = 2πr
7π= 2πr
r=7/2
= 3.5 cm
Area of circle = πr²
=3.14×(3.5)²
=3.14×3.5×3.5
=38.465 square centimeter
Hence, if circumference of a circle is 7π cm then area of circle is 38.465 square centimeter
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Suppose a normal distribution has a mean of 16 and a standard deviation of 4.
A value of 26 is how many standard deviations away from the mean?
Responses
−2.5
negative 2.5
−1.5
negative 1.5
1.5
1.5
2.5
A value of 26 is 2.5 standard deviations away from the mean.
To find the number of standard deviations away from the mean, we can use the formula:
z = (x - μ) / σ
where x is the value we want to convert to a z-score, μ is the population mean, and σ is the population standard deviation.
In this case, the value we want to convert is x = 26, the population mean is μ = 16, and the population standard deviation is σ = 4. Substituting these values into the formula, we get:
z = (26 - 16) / 4 = 2.5
This means that the value of 26 is 2.5 standard deviations away from the mean. Since the z-score is positive, we know that the value of 26 is above the mean. Therefore, the answer is option D, 2.5.
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Use the X method to find the solutions of
6x2 + 2x – 20 = 0.
x =
-5
-2
1
2
x =
-10/3
-4/3
2/3
5/3
The values of x using the X method are x = -2 and x = 5/3, or in decimal form: x = -2, x = -1.33, and x = 0.83.
PolynomialsUsing the X method:
Step 1: Multiply the coefficients of the first and last terms: 6 × (-20) = -120.Step 2: Find two factors of -120 that add up to the coefficient of the middle term, which is 2. The factors are 12 and -10.Step 3: Rewrite the middle term using the two factors: 6x^2 + 12x - 10x - 20 = 0.Step 4: Group the first two terms and the last two terms: (6x^2 + 12x) + (-10x - 20) = 0.Step 5: Factor out the GCF of each group: 6x(x + 2) - 10(x + 2) = 0.Step 6: Factor out the common binomial factor (x + 2): (x + 2)(6x - 10) = 0.Step 7: Solve for x:x + 2 = 0 or 6x - 10 = 0
x = -2 or x = 10/6 = 5/3
Therefore, the solutions are x = -2 and x = 5/3, or in decimal form: x = -2, x = -1.33, and x = 0.83.
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2. The graph of AEFG is shown. Graph the
image of AEFG after a translation of 3 units
left and 1 unit down. Write the coordinates of
the image. (Example 1)
YA E
F
O
G
X
Thus, the new coordinates of the image of ΔEFG after the given translations is found as: E'(-2, 3), F'(-4, 0), G'(-1, -2).
Explain about the translation:A translation is represented as a column vector. Using a column vector, the translation is divided into:
The extent to which a shape travels horizontally (left or right).Size of a shape's vertical displacement (up or down).Given that-
ΔEFG after a translation of 3 units left and 1 unit down.Coordinates of ΔEFG: E(1,4) , F(-1 , 1), G(2, -1)Now,
translation of 3 units left and 1 unit down - subtract 3 from the x coordinates and 1 from the y coordinates.
E(1,4) = E' (1 - 3, 4 - 1) = E'(-2, 3)
F(-1 , 1) = F'(-1 - 3, 1 - 1) = F'(-4, 0)
G(2, -1) = G'(2 - 3, -1- 1) = G'(-1, -2)
Thus, the new coordinates of the image of ΔEFG after the given translations is found as: E'(-2, 3), F'(-4, 0), G'(-1, -2).
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Celine is training to run a marathon. During her training, she kept track of how much time
she spent running on the treadmill inside and on a trail outside each week. These box plots
show the results.
Where was there more variation in the amount of time Celine spent running?
Answer:
There was more variation in her time spent running outside.
Step-by-step explanation:
This is because the range for running outside is larger.
To find range you subtract the largest number in the data by the smallest.
RANGE FOR INSIDE: 150 - 25 = 125
RANGE FOR OUTSIDE: 200 - 50 = 150
Since the range is larger for the time outside spent running, there is more variation.
how many pattern block triangles would i need to make 4 hexagons
Answer:
4 hexagons * 6 equilateral triangles per hexagon = 24 equilateral triangles
Step-by-step explanation:
Pattern blocks are a set of geometric shapes commonly used in math education. The set typically includes six different shapes: triangle, rhombus, trapezoid, hexagon, square, and equilateral triangle. Each hexagon in a pattern block set is made up of six equilateral triangles.
To make 4 hexagons using pattern blocks, we would need to calculate the total number of equilateral triangles required. Since each hexagon is made up of 6 equilateral triangles, we can multiply the number of hexagons by 6 to get the total number of equilateral triangles needed.
4 hexagons * 6 equilateral triangles per hexagon = 24 equilateral triangles
So, you would need 24 pattern block triangles to make 4 hexagons using pattern blocks.
Answer:
Let's use pattern blocks to visualize the situation and say that a hexagon is 1 whole. Since 3 rhombuses make a hexagon, 1 rhombus represents and 2 rhombuses represent . We can see that 6 pairs of rhombuses make 4 hexagons, so there are 6 groups of in 4.
What is the probability that a randomly selected man is shorter than 65 inches?
The probability that a randomly selected man is shorter than 65 inches can be determined using the concepts of normal distribution and z-scores.
Step 1: Determine the average height and standard deviation :
Assuming the average height (μ) for men is 69 inches and the standard deviation (σ) is 3 inches. These values are commonly used in such problems and can vary based on the specific population being considered.
Step 2: Calculate the z-score :
We want to find the probability of a man being shorter than 65 inches. The formula for the z-score is: Z = (X - μ) / σ Here, X is the target height (65 inches), μ is the average height (69 inches), and σ is the standard deviation (3 inches).
Substituting values to calculate the z-score: Z = (65 - 69) / 3 Z = -4 / 3 Z ≈ -1.33
Step 3: Determine the probability :
Using a z-score table or a calculator with a normal distribution function, we can find the probability that corresponds to the calculated z-score of -1.33. The table will show a value of 0.092 (approximately) for the z-score of -1.33.
Thus, the probability that a randomly selected man is shorter than 65 inches is approximately 9.2%.
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