Answer:
45
Step-by-step explanation:
First we want to understand the Base Angles Theorem
The Base Angles Theorem tells us that the base angles or the two bottom angles of an isosceles triangle are congruent.
Using this theorem, we can say that angle A and angle G are congruent meaning m∠A = m∠G. We can then write both of them as x.
We can create the equation ∠N + ∠A + ∠G = 180 degrees.
Knowing ∠N and knowing ∠A + ∠G = 2x, we can rewrite the equation into
90 + 2x = 180
We can then solve for x,
90 + 2x - 90 = 180 - 90
2x = 90
2x / 2 = 90 / 2
x = 45 degrees
analytics is often described as the study of historical data to
Therefore, analytics is a critical tool for businesses and organizations looking to gain a competitive advantage and improve their operations.
Analytics is often described as the study of historical data to extract insights and make informed decisions. It involves the collection, processing, and analysis of data to discover patterns, identify trends, and gain insights into business operations. By examining data sets, analytics can help businesses identify areas of improvement, optimize performance, and increase efficiency. Analytics tools and techniques can be used across many different fields, including finance, marketing, healthcare, and sports. In finance, analytics can be used to analyze market trends and predict future outcomes. In marketing, analytics can help businesses identify customer behavior patterns and optimize marketing campaigns. In healthcare, analytics can help identify patterns in patient data and improve healthcare outcomes. In sports, analytics can be used to analyze player performance and predict game outcomes.
Therefore, analytics is a critical tool for businesses and organizations looking to gain a competitive advantage and improve their operations.
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I need help on this question ASAP pls
Answer:
Step-by-step explanation:
which equation is correct for wave speed? wave speed = (1/period) x wavelength wave speed = frequency x wavelength both of these neither of these
The correct equation for wave speed depends on the type of wave. For transverse waves, the equation is wave speed = frequency x wavelength, while for longitudinal waves, the equation is wave speed = (1/period) x wavelength.
The equation for wave speed depends on the nature of the wave. In the case of transverse waves, such as electromagnetic waves or waves on a string, the correct equation is wave speed = frequency x wavelength. Frequency refers to the number of complete oscillations or cycles of the wave per unit of time, typically measured in hertz (Hz). Wavelength represents the distance between two consecutive points in the wave that are in phase, such as the crest or trough of the wave. The product of frequency and wavelength gives the speed at which the wave propagates through the medium.
However, for longitudinal waves, such as sound waves, the correct equation is wave speed = (1/period) x wavelength. Period refers to the time it takes for one complete oscillation or cycle of the wave, and it is the reciprocal of frequency. The wave speed in longitudinal waves can be calculated by multiplying the wavelength by the inverse of the period.
Therefore, the correct equation for wave speed depends on whether the wave is transverse or longitudinal. For transverse waves, it is wave speed = frequency x wavelength, while for longitudinal waves, it is wave speed = (1/period) x wavelength.
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Convert each percent increase or decrease into a multiplier. 2.08% increase
The equivalent multiplier of 2.08% increase is 1.0208
What is multiplier?Assume there is a number that must be expressed as a fraction of 100. The fraction is known as a percentage.Calculate a decimal multiplier based on a percentage: Make a note of the percentage. Divide this percentage by 100 to get a decimal - this is the multiplier. Subtract the original amount from the multiplier.To convert a given percentage into multiplier, first either add or subtract the percentage from 100 and, then convert it to a decimal.
Here given that the,
Percentage increase = 2.08%
Thus to find, an increase of 2.08% is equivalent to multiplier is ,
(100 + 2.08) / 100
= 102.08 / 100
= 1.0208
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The mass of Earth is made up of these parts. Oceans 1. 4 × 1021kg crust 2. 6 × 1022kg atmosphere 5. 1 × 1018kg mantle 4. 043 × 1024kg outer core 1. 835 × 1024kg inner core 9. 675 × 1022kg What is the order, from least to greatest, of the masses of each part of Earth? Order the parts from least to greatest, with 1 being the smallest mass and 5 the greatest mass
The order from least to greatest of the masses of each part of earth is The mass of the atmosphere < The mass of the Oceans < The mass of the crust < The mass of the inner core < The mass of the outer core < The mass of the mantle
The mass of the Oceans =1.4×\(10^{21}\) kg
The mass of the crust =2.6×\(10^{22}\) kg
The mass of the atmosphere=5.1×\(10^{18}\) kg
The mass of the mantle=4.043×\(10^{24}\) kg
The mass of the outer core=1.835× \(10^{24}\) kg
The mass of the inner core=9.675×\(10^{22}\) kg
Compare the numbers are write them in ascending order
5.1×\(10^{18}\) kg < 1.4×\(10^{21}\) kg < 2.6×\(10^{22}\) kg < 9.675×\(10^{22}\) kg < 1.835×\(10^{24}\) kg < 4.043×\(10^{24}\) kg
The order will be
The mass of the atmosphere < The mass of the Oceans < The mass of the crust < The mass of the inner core < The mass of the outer core < The mass of the mantle
Hence, the order from least to greatest of the masses of each part of earth is The mass of the atmosphere < The mass of the Oceans < The mass of the crust < The mass of the inner core < The mass of the outer core < The mass of the mantle
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In a group of 120 people, 90 play volleyball, 72 play football and 1o play neither of games. Find the number of people who play volleyball as well as football. Construct Venn-diagram to represent the given information.
Answer:
Step-by-step explanation:
10 people don’t play volleyball 120-10=110 110 play one or both games 90+72 =162 which is > 110 by 52
There are 52 people who play volleyball as well as football.
The Inclusion Exclusion PrincipleLet A, B be two different sets the,
n (A ∪ B) = n (A) + n (B) − n (A ∩ B) .
What is Venn diagram?
"A Venn diagram is a diagram that uses overlapping shapes to illustrate the logical relationships between two or more sets."
For given situation:
Let set A: People playing volleyball
set B: People playing football
⇒ n(A) = 90
⇒ n(B) = 72
Given group is of 120 people.
10 people play neither of games.
This means, only 110 people play football or volleyball or both.
⇒ n(A ∪ B) = 110
Using the Inclusion Exclusion Principle,
n (A ∪ B) = n (A) + n (B) − n (A ∩ B)
⇒ 110 = 90 + 72 - n (A ∩ B)
⇒ n(A ∩ B) = 52
Therefore, 52 people play volleyball as well as football.
Venn-diagram for given information is as shown below.
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as a mobile node gets farther and farther away from a base station, what are the two actions that a base station could take to ensure that the loss probability of a transmitted frame does not increase?
As per the given probability, the two action that the base station would takes are, 1) increasing the transmission power, and 2) reducing the transmission rate.
Probability:
In statistics, probability refers the likelihood that an event will occur and is calculated by dividing the number of favorable outcomes by the total number of possible outcomes.
Given,
Here we need to find the two actions that a base station could take to ensure that the loss probability of a transmitted frame does not increase.
Here we have given that, a mobile node gets farther and farther away from a base station,
And the two actions that a base station could take to ensure that the loss probability of a transmitted frame does not increase will be solve by increased transmission power and then reduce the rate.
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12
Peter was thinking of a number. Peter halves the number and gets an answer of 25.5. Form an
equation with x from the information,
Answer:
\(\dfrac{x}{2}=25.5\)
Step-by-step explanation:
Let the number be x.
Peter halves the number and gets an answer of 25.5.
It means,
Half of x equals 25.5. So,
\(\dfrac{1}{2}x=25.5\)
or
\(\dfrac{x}{2}=25.5\)
Hence, the required equation is \(\dfrac{x}{2}=25.5\).
help me!!!!!! ASAP!!!
Answer:
Last answer got erased lol
Step-by-step explanation:
divide all numbers by two.
think faster and mby think better too
helppppppppppppppppppppp
Answer:
.............................
Find the missing value _ + (-4) = -1
Answer:
Concept: Computational Analysis
x+ -4 = -1 x= 3 Rate positively and give brainlistAnswer:x+(4)= -1
x=-1+4
x=3
The blank space is 3
Step-by-step explanation:
A hotel charges a $3.50 fee for each telephone call
made with an additional charge of $0.10 per minute or
part thereof that the call lasts. Which of the following
expressions represents the cost, in dollars, of making a
phone call that lasts m minutes?
A Bm
(B3510m
(3.5 mm
(D) 45m
(D) 1.6m
Find the volume of this prymaid in question 10.
PLEASE HELP ME.
Answer:
5.083
Step-by-step explanation:
\(V=\frac{1}{3}Bh=(1/3)(1/2)(1.7)(3.9)(4.6)=5.083\)
Given that line a is parallel to line b, find the values of x and y in the diagram. NEED HELP ASAP! pls.
The values of x and y are 12 and 31 respectively
What are alternate angles?Alternate angles are the set of non-adjacent angles on either side of the transversal which cuts two parallel lines.
Alternate angle may be exterior or interior based on how you view the transversal and in geometry angles that are alternate are equal.
From the diagram, angles (5x -7)° and (3x + 17)° are alternate since they are angles formed between each parallel line and the transversal
Since both angles are alternate, it means they are equal,
So that,
5x - 7 = 3x + 17
By collecting like terms
5x - 3x = 17 + 7
2x = 24
x = 24/2
x = 12
Also (5x - 7)° + (4y + 3)° = 180 ( sum of angles on a straight line = 180°)
5x + 4y -4 = 180
5x + 4y = 180 + 4
5x + 4y = 184
Substitute x = 12 into the above equation,
5(12) + 4y = 184
60 +4y = 184
4y = 184-60
4y = 124
y = 124/4
y = 31.
In conclusion the x = 12 and y = 31
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Answer:
sorry i don't have a step to step explanation but here
x= -78
y=4
evaluate the integral. (use c for the constant of integration.) x2 15 + 6x − 9x2 3/2 dx
On integrating the function f(x), we get - (x³/45) + (3x²) - (2x³) + C.
What is integration?An integral is a function, of which a given function is the derivative. Integration is basically used to find the areas of the two-dimensional region and computing volumes of three-dimensional objects. Mathematically, we can write -\($\int_a^b \! f(x) \, \mathrm{d}x.\)
Given is the function, as follows -
f(x) = (x²/15 + 6x - 9x²/{3/2})
The given function is -
f(x) = (x²/15 + 6x - 9x²/{3/2})
∫f(x) = ∫(x²/15 + 6x - 9x²/{3/2}) dx
∫f(x) = ∫(x²/15)dx + ∫(6x)dx - ∫(6x²)dx
∫f(x) = (1/15)(x³/3) + C₁ + (6)(x²/2) + C₂ - (6)(x³/3) + C₃
∫f(x) = (x³/45) + (3x²) - (2x³) + {C₁ + C₂ + C₃}
∫f(x) = x³/45) + (3x²) - (2x³) + C (C = C₁ + C₂ + C₃)
Therefore, on integrating the function f(x), we get (x³/45) + (3x²) - (2x³) + C.
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A population has a mean = 79 and a standard deviation = 18. Find the mean and standard deviation of a sampling distribution of sampling means with sample size = 36.
The sampling distribution of sample means is a mean of 79 and a standard deviation of 3.
What is the standard deviation?The standard deviation mathematical and statistical analysis tool used to explain the diversity of treatments or values around the Mean is the standard deviation, which is also known as the square root of variance.
Given that,
Population mean, \(\bar{x}\) = 79
Population standard deviation, σ = 18
Sample size, n = 36
We have to determine the mean and standard deviation of a sampling distribution of sample means.
Let X denotes a random variable distributed with a mean and standard deviation of 85 and 28 respectively.
Also, if a random sample of size n is drawn from the population, then the sample mean is denoted by \(\bar{x}\).
The sampling distribution of sample means \(\bar{x}\) is given by:
ц \(\bar{x}\) = ц
σ \(\bar{x}\) = σ/√n
Therefore, for the sample size n = 36, the sampling distribution of sample means \(\bar{x}\) is obtained as:
ц \(\bar{x}\) = 79
σ \(\bar{x}\) = 18/√36 = 3
Hence, the required sampling distribution of sample means is mean of 79 and a standard deviation of 3.
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The endpoints of JK are J(–25, 10) and K(5, –20). What is the y-coordinate of point L, which divides JK into a 7:3 ratio?
Answer:
y = -11.
Step-by-step explanation:
If point L divides JK into a 7:3 ratio, you can say that, technically, JK has been divided into 10 parts.
The y-coordinates of JK span over 10 + 20 = 30 units. 30 / 10 = 3. 3 * 3 = 9. -20 + 9 = -11. So, the y-coordinate of point L is -11.
The x-coordinates of JK span over 25 + 5 = 30 units, 30 / 10 = 3. 3 * 7 = 21. -25 + 21 = -4. So, the x-coordinate of point L is -4.
When you put it together, the coordinates of point L are (-4, -11).
Oh that wasn't the question but uh the y-coordinate is -11 hope this helps!
I need help with these questions (see image). Please show workings.
Answer:
24 cm
Step-by-step explanation:
The altitude from the centre to the chord is 5 cm and bisects the chord.
The radius of the circle is 26 cm ÷ 2 = 13 cm
There is a right triangle formed with legs 5 and x ( x is half the chord )
The hypotenuse is the radius, then using Pythagoras' identity
x² + 5² = 13²
x² + 25 = 169 ( subtract 25 from both sides )
x² = 144 ( take the square root of both sides )
x = \(\sqrt{144}\) = 12
Then
length of chord = 2x = 2 × 12 = 24 cm
Answer:
24 cmStep-by-step explanation:
The chord, if the ends connected with the center, form an isosceles triangle with two sides being a radius of the circle.
We have:
Length of chord = xHeight of triangle = h = 5 cmRadius = r = 26/2 = 13 cmFrom the triangle we get:
(x/2)² + h² = r²x²/4 + 5² = 13²x²/4 = 144x/2 = 12x = 24The length of the chord is 24 cm
Please help me solve for X
I'll give brainlyest
Answer:
1. x = 8
2. x = 12
3. x = 11
4. x = 6
Step-by-step explanation:
1.
102 + 102 = 204
360 - 204 = 156
156 / 2 = 78
78 = 10x - 2
78 + 2 = 10x
80 = 10x
80 / 10 = x
x = 8
2.
81 = 7x - 3
81 + 3 = 7x
84 = 7x
84 / 7 = x
x = 12
3.
77 = 6x + 11
77 - 11 = 6x
66 = 6x
66 / 6 = x
x = 11
4.
115 + 115 = 230
360 - 230 = 130
130 / 2 = 65
65 = 8x + 17
65 - 17 = 8x
48 = 8x
48 / 8 = x
x = 6
Carlos has 2 dollars more than half of the total amount of money his brother has. If x represents the amount of money Carlos’s brother has, which expression can be used to represent this situation?
plz hurry
Answer:
xX2/2?
Step-by-step explanation:
help me plssss ‼️‼️‼️
teddy bears = 80
hope it helps..!!!
what is 8u+17=17 what is u = to
Answer:
\(8u+ 17 = 17 \\ 8u = 17 - 17 \\ 8u = 0\\ u = \frac{0}{8} \\ \boxed{u = 0}\)
u=0 is the right answer.If
θ
is an acute angle, solve the equation
tanθ=1.
Express your answer in degrees.
Question content area bottom
Part 1
Select the correct choice below, and, if necessary, fill in the answer box to complete your choice.
A.
θ=enter your response here°
(Simplify your answer. Use a comma to separate answers as needed.)
B.
There is no solution.
There is one solution to the equation tanθ=1, and it is θ = 45°. To solve the equation tanθ=1, we can take the inverse tangent of both sides. This gives us θ = arctan(1).
The value of arctan(1) is 45°. However, since θ is an acute angle, we must restrict its range to be between 0 and 90°. Therefore, the only solution is θ = 45°.
In more detail, the tangent function is defined as the ratio of the sine and cosine of an angle. When the angle is 45°, the sine and cosine are both equal to 1/√2, so the tangent is also equal to 1. Therefore, the only solution to the equation tanθ=1 is θ = 45°.
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Graph the inequality y < 2|x – 1| – 2. Which point is part of the solution?
Answer:
-4
Step-by-step explanation:
it you calculate it from the example you get the answer
what place value is 7 in 7,156,489
A sample of employed people was asked whether they had changed jobs in the past two years. The following display from a TI-84 Plus calculator presents a 95% confidence interval for the population proportion who had changed jobs during that time. 1-Propint C. 19525..38253) p=2888888889 n=90 and a) We are % confident that the population proportion is between Do not round. b) The point estimate, p Round to the nearest 5th decimal place. c) The margin of error, m = Round to the nearest 5th decimal place. d) If p = . then 2 = øn= Round to the nearest whole number. e) Use the information calculated to construct a 98% confidence interval for p. We are % confident that the population proportion is between and . Do not round
The 95% confidence interval that the population proportion is between is 0.19525 to 0.38253.
What is the 95% confidence interval for the population proportion who changed jobs in the past two years?a) We are 95% confident that the population proportion is between 0.19525 and 0.38253.
b) The point estimate, p, is 0.28889 (rounded to the nearest 5th decimal place).
c) The margin of error, m, is calculated as half the width of the confidence interval, which is (0.38253 - 0.19525) / 2 = 0.09314 (rounded to the nearest 5th decimal place).
d) If p = 0.28889, then the standard deviation, σ, is calculated as σ = √(p(1-p)/n) = √((0.28889)(1-0.28889)/90) ≈ 0.05056 (rounded to the nearest whole number).
e) Using the information calculated, the 98% confidence interval for p would be wider than the 95% confidence interval. The specific values for the interval cannot be determined without additional information.
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Pls help I’m in a hurry please
(1) The probability of getting tails and a 3 is the probability of following the path T-3, which is 1/2 x 1/4 = 1/8.
(ii) The probability of getting heads and an even number is the probability of following the path H-2 or H-4, which is 1/2 x 1/2 + 1/2 x 1/2 = 1/2.
(iii) The probability of not getting heads and an even number is the probability of following the paths T-2 or T-4, which is 1/2 x 1/2 + 1/2 x 1/2 = 1/2.
Match each expression with its value. −9 7 −2 Undefined h( 3.999 ) h(4) h(4.0001) h(9)
The values are: -9, 7, -2, Undefined, Undefined, 8, Undefined, Undefined.
Let's match each expression with its corresponding value:
Expression: -9
Value: -9
Expression: 7
Value: 7
Expression: -2
Value: -2
Expression: Undefined
Value: Undefined
Expression: h(3.999)
Value: Undefined
Expression: h(4)
Value: 8
Expression: h(4.0001)
Value: Undefined
Expression: h(9)
Value: Undefined
Now let's explain the reasoning behind each value:
The expression -9 represents the number -9, so its value is -9.
Similarly, the expression 7 represents the number 7, so its value is 7.
The expression -2 represents the number -2, so its value is -2.
When an expression is labeled as "Undefined," it means that there is no specific value assigned or that it does not have a defined value.
For the expression h(3.999), its value is undefined because the function h(x) is not defined for the input 3.999.
The expression h(4) has a value of 8, indicating that when we input 4 into the function h(x), it returns 8.
Similarly, the expression h(4.0001) has an undefined value because the function h(x) is not defined for the input 4.0001.
Lastly, the expression h(9) also has an undefined value because the function h(x) is not defined for the input 9.
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Please help me solve this question, I don’t get it at all
Answer:
32 units
Step-by-step explanation:
∠LON = 2(∠LMN) = 2(60°) = 120°
120°/360° = 1/3
length of minor arc LN = (1/3)(96) = 32 units
What is the inverse of:
If a = b and b = c, then a = c
1) a = b and b = c if, and only if, a = c
2) If a ≠ c then a ≠ b or b ≠ c
3) If a ≠ b or b ≠ c, then a ≠ c
4) If a = c, then a = b and b = c
Answer:
1
Step-by-step explanation:
Is the correct way to do it