Answers
Applying the angle of intersecting secants theorem, the measure of arc LN in the circle is: 56°.
How to Find the Arc Measure Using the Angle of Intersecting Secants Theorem?Given the circle in the image above where the two secants intersect outside the circle, the angle of intersecting secants theorem states that:
external angle formed = 1/2 * (the measure of arc KP - the measure of arc LN)
Plug in the values:
20 = 1/2 * (96 - m(LN))
2 * 20 = 96 - m(LN)
40 = 96 - m(LN)
m(LN) = 96 - 40
m(LN) = 56°
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Related Questions
What is the distance between $500 and $-61.63
Answers
Answer: $561.63
Step-by-step explanation: To find the distance you subtract 500 by -61.63
You get the equation 500--61.63
The two negative signs cancel out to become a positive sign
So the new equation is 500+61.63
So the distance is $561.63
Answer:
$561.63
Step-by-step explanation:
To find out the distance between 500 and -61.63 it will be $500-$-61.63. So 500 - (-61.63) becomes 500 + 61.63 because 2 negatives in a row make a positive. So when you do 500+61.63, you'll get 561.63.
Does anyone know how to solve this?
Answers
Kayana used 4 packages of pencils, so she used 4p pencils in total for the first semester.
After that, she used 10 more pencils, so the total number of pencils she used is:
4p + 10
Therefore, the expression to represent the total number of pencils Kayana used is 4p + 10.
80% of the sixth graders have lunch during fourth period if 120 sixth graders had lunch fourth periods how many total six graders are there?
Answers
Answer: there is a total of 150 sixth graders
explanation :
0.8x = 120
120 / 0.8 = 150
6th graders at lunch = 150
50 Points! Multiple choice geometry question. Photo attached. Thank you!
Answers
ABC forms a right-angled triangle
Let the distance between AB = x
Using Pythagoras theorem
Sin 30 = Opposite / Hypoteneuse
Sin 30 = 12 in/ x
However, From the equilateral triangle, all sides are = 2 and the angles are all = 60 degrees. Then we take a right-angled triangle out of it. This means that the base equals 1, and the top side is halved and equals 30 degrees.
Using Pythagoras' theorem, Sin 30 = 1/ 2
Substituting back into the equation, we get:
1/ 2 = 12 in / x
Cross multiplying, we get:
x = 24 in
Recall x = AB
AB = 24 inches
To remember the angles and their respective formula, use SOHCAHTOA
Where sin x = Opposite / Hypoteneuse
Cos x = Adjacent / Hypoteneuse
Tan x = Opposite / Adjacent
If you are traveling 14 miles per hour, how many inches would you travel in 3 seconds? (1 mile = 5280 feet; 1 foot = 12 inches) (Convert 3 seconds to inches)
Answers
1 mile = 5280 feet
1 foot = 12 inches
First, let's convert the speed from miles per hour to inches per hour:
14 miles/hour * 5280 feet/mile * 12 inches/foot = 14 * 5280 * 12 inches/hour
Next, we need to convert hours to seconds since we want the distance traveled in 3 seconds:
(14 * 5280 * 12 inches/hour) * (1 hour/3600 seconds) = 14 * 5280 * 12 * 1/3600 inches/second
Now, we can calculate the distance traveled in 3 seconds:
Distance = Speed * Time = (14 * 5280 * 12 * 1/3600 inches/second) * 3 seconds
Simplifying the expression:
Distance = (14 * 5280 * 12 * 3) / (3600) inches
Calculating the value:
Distance = 7392 inches
Therefore, if you are traveling at a speed of 14 miles per hour, you would travel 7392 inches in 3 seconds.
Find the degrees of freedom, alpha or significance level, and the t-critical value using the t-table n = 27 ;CL=98\%
Answers
The degrees of freedom for a sample size of 27 is 26, the alpha or significance level for a 98% confidence level is 0.02, and the t-critical value can be found using the t-table corresponding to a 98% confidence level and 26 degrees of freedom.
To find the degrees of freedom, alpha (significance level), and the t-critical value using the t-table, we need to consider the given information:
n = 27: This represents the sample size, which is 27 in this case.
CL = 98%: CL stands for the confidence level.
It indicates the level of confidence we want to have in our interval estimate.
In this case, the confidence level is 98%.
Degrees of Freedom (df): For a t-distribution, the degrees of freedom depend on the sample size.
Since we have a sample size of 27, the degrees of freedom would be n - 1.
Therefore, the degrees of freedom would be 27 - 1 = 26.
Alpha (α): Alpha, or the significance level, represents the probability of making a Type I error, which is rejecting a true null hypothesis.
The alpha level is determined by subtracting the confidence level from 1. In this case, the alpha level would be 1 - 0.98 = 0.02.
T-Critical Value: To find the t-critical value corresponding to a specific confidence level and degrees of freedom, we can consult the t-table. Since we have a confidence level of 98% and degrees of freedom of 26, we need to find the value that corresponds to the area of 0.01 (half of 1 - 0.98) in the t-distribution table.
The t-critical value would be the value from the table that matches these criteria.
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A custom cake baker charges a flat fee for each job, plus an hourly rate for the
number of hours the job takes to complete. The total amount of her bill to the customer can be expressed by 40 + 25h
where h is the hours it takes for the job.what does the coefficient of h, in the expression represent
Answers
The coefficient h in the expression means the time taken for the job to be completed in hours.
How to find the value of the coefficient in the expression?The custom cake baker charges a flat fee for each job, plus an hourly rate for the number of hours the job takes to complete. The total amount of her bill to the customer can be expressed by 40 + 25h where h is the hours it takes for the job.
Therefore, the coefficient h in the expression can be interpreted as follows:
total amount of bills = 40 + 25h
where
40 dollars is the flat fee for each job
Then the coefficient h means the hourly rate for the time taken for the job to be completed.
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please help fast !!!
Answers
The coordinate of vertices of DEF are;
D = ( -4, -3)
E = ( -7, 4)
F =( -7, -3)
Here, we have,
Reflection in the y-axis: The reflection of point (x, y) across the y-axis, the y-coordinate remains the same, but the x-coordinate is taken to be the additive inverse (x,y)→( -x,y) .
First, triangle ABC is reflected across the y axes.
So, we have:
(x,y)→( -x,y)
then, translated down 5 units.
so, transformation rule on ABC, we have:
(x,y)→( -x , y - 5)
so, the coordinate of vertices of DEF are;
D = ( - 4, 2 - 5) = ( -4, -3)
E = ( -7, 9 - 5) = ( -7, 4)
F = (-7 , 2 - 5) = ( -7, -3)
Hence, the coordinate of vertices of DEF are;
D = ( -4, -3)
E = ( -7, 4)
F =( -7, -3)
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Erica is 33 years old. She has $580 in a checking account, $3400 in a savings
account, $22,000 in a retirement account, and owns a car worth $7700. What
is the total value of her liquid assets?
A. $3400
B. $3980
C. $33,680
D. $29,700
Answers
The total value of her liquid assets would be = $3,980. That is option B.
What is a liquid asset?An asset is said to be a liquid asset because it can easily be converted into cash in a short period of time.
Examples of liquid assets include the following:
Cash in checking accountCash in savings accountTherefore, the total value of liquid assets = $580+$3400 = $3980
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The line r represents f ( x ) = x − 4 3 . Therefore, the line that represents f - 1 is and f - 1 ( x ) = x + .
Answers
Given statement solution is :- The Inverse line that represents [tex]f^(-1[/tex]) is [tex]f^(-1)[/tex] (x) = 3x + 4.
To find the inverse function of f(x) = (x - 4)/3, we need to swap the roles of x and y and solve for y. Let's start by writing the equation with y instead of f(x):
y = (x - 4)/3
Now, let's interchange x and y:
x = (y - 4)/3
To solve for y, we can isolate it by multiplying both sides of the equation by 3:
3x = y - 4
Next, let's add 4 to both sides:
3x + 4 = y
Finally, we can write the inverse function as:
[tex]f^(-1)(x)[/tex] = 3x + 4
So, the Inverse line that represents [tex]f^(-1[/tex]) is [tex]f^(-1)[/tex] (x) = 3x + 4.
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Express log 161 in the form of loga + logb.
Answers
log 161 can be expressed as log 7 + log 23 in the form of loga + logb.
To express log 161 in the form of loga + logb, first we need to find suitable values for a and b such that their logarithmic product is equal to log 161.
Let's find the factors of 161 :
161 = 7 * 23
Now, we can express log 161 as product of two logarithms :
log 161 = log (7 + 23)
Using the logarithmic property log(a*b) = log a + log b :
log 161 = log 7 + log 23
Therefore, log 161 can be expressed as log 7 + log 23.
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variable of 10(n+3)=1,000,00
Answers
Answer: Distribute the 10 on the left side of the equation:
10n + 30 = 1,000,000
Subtract 30 from both sides of the equation to isolate the term with n:
10n = 1,000,000 - 30
10n = 999,970
Divide both sides of the equation by 10 to solve for n:
n = 999,970 / 10
n = 99,997
Therefore, the value of the variable n that satisfies the equation 10(n + 3) = 1,000,000 is n = 99,997.
Step-by-step explanation:
Adjusted Trial Balance from Buildex Company
Answers
The preparation of the income statement of Buildex Company's adjusted trial balance is as follows:
Buildex Company
Income StatementServices revenue $70,500
Interest revenue 5,700
Total revenue $76,200
Expenses:
Depreciation expense $4,700
Wages expense 52,000
Insurance expense 4,400
Supplies expense 2,700
Utilities expense 1,700
Total expenses $65,500
Net income $10,700
What is the income statement?The income statement is a financial statement that shows the financial performance of a business over a period.
In the income statement, the total expenses are deducted from the total revenue to compute the profit or loss.
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Question Completion:Use the following selected accounts and amounts with normal balances from Buildex Company's adjusted trial balance to prepare its income statement for the year ending December 31. Hint: Not all accounts need to be used.
Cash $10,400 Depreciation expense $4,700
Building 185,000 Wages expense 52,000
Accounts payable 9,400 Insurance expense 4,400
Services revenue 70,500 Supplies expense 2,700
Interest revenue 5,700 Utilities expense 1,700
100 Points! Geometry question. Photo attached. Please show as much work as possible. Thank you!
Answers
Next, we add the two bases to get 21: 6+15=21 (h=2 x 136.5)
Then, divide the total of the two bases (21) from the area to get 6.5: 136.5/21-6.5
Finally we multiply 2 by 6.5: 2 x 6.5= 13
The height if this trapezoid is 13.
Answer:
13cm
Step-by-step explanation:
The area of a trapezoid is given by the formula:
Area = ½*(b1+b2)*h
where:
b1 and b2 are the lengths of the bases of the trapezoid h is the height of the trapezoidIn this problem, we are given that b1 = 6 cm, b2 = 15 cm, and Area = 136.5 square centimeters.
Plugging these values into the formula, we get:
136.5 = ½*(6 + 15)*h
Solving for h, we get:
136.5=10.5h
h = 136.5/10.5=13centimeters
Therefore, the height of the trapezoid is 13 centimeters.
What does the x-intercept of the graph represent in terms of the football?
a. The x-intercept represents the maximum vertical height that the football reaches.
b . The x-intercept represents the time it took for the football to reach its maximum height.
c. The x-intercept represents the height where the football was when the ball was kicked.
d. The x-intercept represents how far away the football landed from where it started horizontally.
Answers
The x-intercept in the graph represent the height where the football was when the ball was kicked.
How to find the x-intercept?The x-intercept is the point where the graph of the line crosses the x-axis.
Therefore, the x-intercept the value of x when y equals to zero.
Therefore, let's find what the x-intercept of the graph represent in terms of the football.
The graph shows the height of the ball in metres after t second.
The y axis represent the height while the x-axis represent the time.
Hence, he x-intercept represents the height where the football was when the ball was kicked.
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Which expressions are less than 7/8? Choose2 answers 7/8 x 9/19 7/8 x 3/4 7/8 x 9/9 7/8 x 4/3
Answers
The two expressions that are less than 7/8 are 7/8 x 9/19 and 7/8 x 3/4.
To determine which expressions are less than 7/8, we can compare them individually to 7/8 and evaluate their values.
Let's consider each expression one by one:
7/8 x 9/19:
To compare this expression to 7/8, we multiply the fractions:
(7/8) x (9/19) = 63/152.
Since 63/152 is less than 7/8, this expression is less than 7/8.
7/8 x 3/4:
Multiplying the fractions:
(7/8) x (3/4) = 21/32.
Since 21/32 is less than 7/8, this expression is less than 7/8.
7/8 x 9/9:
The fraction 9/9 simplifies to 1, so the expression becomes:
(7/8) x 1 = 7/8.
Since 7/8 is equal to 7/8 (not less than), this expression is not less than 7/8.
7/8 x 4/3:
Multiplying the fractions:
(7/8) x (4/3) = 28/24.
We can simplify 28/24 to 7/6.
Since 7/6 is greater than 7/8, this expression is not less than 7/8.
Therefore, the two expressions that are less than 7/8 are 7/8 x 9/19 and 7/8 x 3/4.
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Arlene has to unpack 4 1/2 boxes of canned pineapple juice. He unpacked 1/4 of them.
How many boxes are still unpacked?
Answers
To find out how many boxes are still unpacked, we need to subtract the fraction Arlene has already unpacked from the total number of boxes.
Total boxes: 4 1/2
Fraction unpacked: 1/4
To subtract fractions, we need a common denominator. In this case, the common denominator is 4.
4 1/2 = 9/2 (as an improper fraction)
Now we can subtract:
9/2 - 1/4 = 18/4 - 1/4 = 17/4
So, Arlene still has 17/4 (or 4 1/4) boxes of canned pineapple juice left to unpack.
I hope this helps! ;)
solve each equation 1/3a= -15
Answers
The solution to the equation 1/3a = -15 is a = -45
How to determine the solution to the equationfrom the question, we have the following parameters that can be used in our computation:
1/3a = -15
Multiply 3 to both sides of the equation
so, we have the following representation
3 * 1/3a = -15 * 3
When the products are evalated, we have
a = -45
Hence, the solution to the equation is a = -45
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There is a substance called sodium-24 that decays at a rate of 4.5% per hour, compounded continuously.
You start with a sample of 500 grams of this substance.
a) Write a function to model the amount remaining after t hours.
Answers
The function to model the amount remaining after t hours is:
[tex]A(t) = 500 \times e^{-0.045t}[/tex]
We have,
To model the amount remaining after t hours for the substance sodium-24, which decays at a rate of 4.5% per hour compounded continuously, we can use the formula for continuous exponential decay:
[tex]A(t) = A(0) \times e^{-rt}[/tex]
Where:
A(t) is the amount remaining after t hours,
A(0) is the initial amount,
e is the base of the natural logarithm (approximately 2.71828),
r is the decay rate (expressed as a decimal).
In this case,
The initial amount A(0) is 500 grams, and the decay rate r is 4.5% per hour, which can be expressed as 0.045 (decimal form).
Thus,
The function to model the amount remaining after t hours is:
[tex]A(t) = 500 \times e^{-0.045t}[/tex]
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asdaadadadasdadasdasdadsadasdasdasdasda
Answers
This is not a question. Next time, please add a question so that others might be able to help you with it
Find the equation of the axis of symmetry of the following parabola algebraically. y=−3x^2−42x−159
Answers
The equation of the axis of symmetry is x = -7.
Given is an equation of a parabola, y = -3x² - 42x - 159, we need to find the equation of the axis of the symmetry.
To find the equation of the axis of symmetry of a parabola in the form of y = ax² + bx + c, you can use the formula x = -b / (2a).
In this case, the given equation is y = -3x² - 42x - 159.
Comparing it to the general form, we have a = -3 and b = -42.
Applying the formula, we can calculate the x-coordinate of the vertex (the axis of symmetry):
x = -b / (2a)
x = -(-42) / (2(-3))
x = 42 / (-6)
x = -7
Therefore, the x-coordinate of the vertex is -7.
To find the equation of the axis of symmetry, we use the value of x in the form x = h, where (h, k) is the vertex.
Hence, the equation of the axis of symmetry is x = -7.
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calculation of average speed of a car travelling at 200 km in 2 hours 30 minutes
Answers
The average speed of the car is 80 km per hour
Calculation of average speed of the carFrom the question, we have the following parameters that can be used in our computation:
Distance = 200 km
Time = 2 hours 30 minutes
using the above as a guide, we have the following:
Speed = Distance/Time
substitute the known values in the above equation, so, we have the following representation
Speed = 200/2.5
Evaluate
Speed = 80 km per hour
Hence, the average speed of the car is 80 km per hour
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What is the the measure of
A
B
40°
?
C
Answers
Answer:
Step-by-step explanation:
To find the measure of angle A
Recta de pendiente 1⁄4 que pasa por (3,0).
Answers
The equation of the line with a slope of 1/4 that passes through the point (3,0) is y = 1/4x - 3/4.
To find the equation of a line with a slope of 1/4 that passes through the point (3,0), we can use the point-slope form of the equation of a line.
The point-slope form of a line is:
y - y1 = m(x - x1)
where (x1, y1) is the given point and m is the slope.
Substituting the values into the formula, we have:
y - 0 = 1/4(x - 3)
Simplifying:
y = 1/4(x - 3)
Distributing 1/4 throughout the expression:
y = 1/4x - 3/4
Therefore, the equation of the line with a slope of 1/4 that passes through the point (3,0) is y = 1/4x - 3/4.
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100 Points! Geometry question. Photo attached. Find the area of the figure. Round to the nearest tenth if necessary. Please show as much work as possible. Thank you!
Answers
Answer:
626.71 cm^2
Step-by-step explanation:
Area of figure = area of half circle + Area of half circle + area of a rectangle
here, diameter=15 cm
radius = 15/2=7.5 cm
length=30cm
breadth=15cm
Now
Area of figure = 1/2*π*radius^2+ 1/2*π*radius^2+length*breadth
=1/2* 1/2*π*7.5^2+1/2* 1/2*π*7.5^2+30*15
=626.71 cm^2
An artist makes a hanging sculpture out of rhombus-shaped pieces. Each rhombus shape has diagonals of 3.5 centimeters and 5 centimeters. What is the area of each rhombus? 4.25 cm2 8.5 cm2 8.75 cm2 17.5 cm2
Answers
The area of each rhombus is 8.75 [tex]cm^2[/tex]. The correct option is 8.75 [tex]cm^2.[/tex]
To find the area of each rhombus, we can use the formula for the area of a rhombus:
Area = (diagonal1 × diagonal2) / 2
Given that the diagonals of the rhombus-shaped pieces are 3.5 centimeters and 5 centimeters, we can substitute these values into the formula:
Area = (3.5 cm × 5 cm) / 2
Area = 17.5 [tex]cm^2[/tex] / 2
Area = 8.75 [tex]cm^2[/tex]
Therefore, the area of each rhombus is 8.75 [tex]cm^2[/tex]. The correct option is 8.75 [tex]cm^2.[/tex]
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A population data set produced the following information N-250 Σx=9880, Σy=1456. Σxy-85080 Σx²=485870, Σy² = 135675 Find the value of oe and p²
Answers
The value of p² is approximately 0.999999528.
To find the value of oe (the standard error of estimate) and p² (the coefficient of determination), we can use the given population data set information.
The formula for the standard error of estimate (oe) is:
oe = √((Σy² - (Σy)² / N) / (N - 2))
Substituting the given values, we have:
oe = √((135675 - (1456)² / 250) / (250 - 2))
oe = √((135675 - 2124736 / 250) / 248)
oe = √(541.96)
oe ≈ 23.27
Therefore, the value of oe is approximately 23.27.
The coefficient of determination (p²) can be calculated using the formula:
p² = 1 - (Σxy - (Σx × Σy) / N) / ((Σx² - (Σx)² / N) × (Σy² - (Σy)² / N))
Substituting the given values:
p² = 1 - (85080 - (9880 × 1456) / 250) / ((485870 - (9880)² / 250) × (135675 - (1456)² / 250))
p² = 1 - (85080 - 14358080 / 250) / ((485870 - 968144 / 250) × (135675 - 2124736 / 250))
p² = 1 - (85080 - 57432.32) / (478352.56 × 123346.74)
p² = 1 - (27647.68) / (59022875580.02)
p² ≈ 0.999999528
Therefore, the value of p² is approximately 0.999999528.
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For what value of x is the rational expression below undefined?
x-3
3+x
A. 3
OB. -1
O C. 0
OD. -3
Answers
Answer:
x= -3
Step-by-step explanation:
x-3
-----------
x+3
This expression is undefined when the denominator is zero.
x+3 =0
x= -3
Which of the following graphs represent a function? Check all that apply.
A curve that rises from left to right, graphed in a coordinate plane
A graph in a coordinate plane. The graph starts as a line that ascends from left to right. Then it becomes a vertical line going up.
A graph in a coordinate plane. The graph begins at 0, 0 and curves up and down, creating peaks and valleys. As the graph moves to the right, the peaks and valleys get smaller and closer together.
Three-quarters of a circle, graphed in a coordinate plane
A graph in a coordinate plane. The graph curves up and down, creating peaks and valleys, but there is no pattern to these peaks and valleys.
A graph in a coordinate plane. The graph curves back and forth, from left to right.
Answers
1. A curve that rises from left to right, graphed in a coordinate plane.
2. A graph in a coordinate plane. The graph starts as a line that ascends from left to right. Then it becomes a vertical line going up.
5. A graph in a coordinate plane. The graph curves back and forth, from left to right.
These three graphs depict a clear one-to-one correspondence between the x-values and y-values, satisfying the definition of a function.
What is the meaning of "free variables"?
Answers
Free variables are variables used to represent parameters
What are free variables?Free variables are placeholders or symbols in mathematics and logic that are not constrained by any quantifiers or other specified conditions within an expression, formula, or equation.
When the expression is evaluated, they stand for values that can change or be given different values. In equations or functions, free variables are frequently employed to represent unknowns or parameters.
Free variables enable flexibility and generality in mathematical reasoning since they can be given various values to investigate various situations or solutions. In contrast, bound variables have a specific scope within a certain context or statement and are constrained by quantifiers.
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