Answer: Amplitude is 108 degrees
Step-by-step explanation:
To determine the amplitude of the tip of King Arthur's Sword, we need to understand the shape of the sword's blade, which consists of a regular hexagon and a regular pentagon.
A regular hexagon has six equal sides and six equal angles, each measuring 120 degrees. The regular pentagon, on the other hand, has five equal sides and five equal angles, each measuring 108 degrees.
Since the tip of the sword is formed by the meeting point of the hexagon and pentagon, it will be at the apex of the pentagon. The apex of the pentagon will have an angle of 108 degrees.
I hope this helps!!!
7.5, 8.5, 14.5 are these can form a triangle?
No, the sides with lengths 7.5, 8.5, and 14.5 cannot form a triangle.
To form a triangle considering three lengths of sides, the sum of the lengths of any two sides must be greater than the length of the third side.
Checking the above condition
1. The sum of 7.5,8.5 is 16, which is greater than 14.5. So, the condition is satisfied.
2. The sum of 7.5, 14.5 is 22, which is greater than 8.5. So, the condition is satisfied.
3. The sum of 8.5 and 14.5 is 23, which is less than 7.5. The condition is not satisfied.
Since the sum of the two shorter sides 8.5 and 14.5 is not greater than the longest side 7.5 these three sides with given lengths cannot form a triangle.
Therefore, the sides with lengths 7.5, 8.5, and 14.5 cannot form a triangle.
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i need the whole problem done and i don’t understand, i need a step by step to show my work. its at 12. PLS HELP
The surface area of given triangular prism = 24 ft².
For the given triangular prism
Base = 2 ft
height = 3 ft
side = 3ft
We know that,
Surface area of triangular prism
= side x base + 3x base x height
= 3 x 2 + 3x2x3
= 6 + 18
= 24 ft²
Thus,
Surface area = 24 ft²
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Use table values to graph the Quadratic function.
y = x^2 - 2x + 4
Phil spends no more than 12 hours per week knitting. It takes him 2 hours to knit a hat and
3 hours to knit a scarf. He uses 150 yards of yarn for each hat and 400 yards of yarn for each
scarf. Which combinations of complete hats and scarves can Phil knit if he has 900 yards of yarn?
Select all of the correct answers.
A. 1 hat, 1 scarf
B. 3 hats, 2 scarves
C. 6 hats, 0 scarves
D. 4 hats, 1 scarf
E. 0 hats, 4 scarves
F. 2 hats, 1 scarf
The correct options regarding the inequality are:
A. 1 hat, 1 scarf
D. 4 hats, 1 scarf
F. 2 hats, 1 scarf
How to explain the inequalityBased on the time constraint, Phil can spend a maximum of 12 hours knitting, so we can set up the following inequality:
2h + 3s ≤ 12,
Phil can knit at most 6 hats per week, because 6 hats * 2 hours/hat = 12 hours.
Phil can knit at most 4 scarves per week, because 4 scarves * 3 hours/scarf = 12 hours.
Phil can use at most 900 yards of yarn, because he has 900 yards of yarn.
Phil can knit 1 hat and 1 scarf, because 1 hat * 150 yards/hat + 1 scarf * 400 yards/scarf = 550 yards < 900 yards.
Phil can knit 4 hats and 1 scarf, because 4 hats * 150 yards/hat + 1 scarf * 400 yards/scarf = 900 yards.
Phil can knit 2 hats and 1 scarf, because 2 hats * 150 yards/hat + 1 scarf * 400 yards/scarf = 700 yards < 900 yards.
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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?
Answer: there is a total of 150 sixth graders
explanation :
0.8x = 120
120 / 0.8 = 150
6th graders at lunch = 150
For what value of x is the rational expression below undefined?
x-3
3+x
A. 3
OB. -1
O C. 0
OD. -3
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
Can anyone help me with this question?
Answer:
-7/4
Step-by-step explanation:
we can see that every time the value of x increases by 4, the value of y decreases by 7.
let's pick two sets of coordinates (first two will be fine).
that is (-4, 6) and (0, -1)
Slope = (change in y values) / (change in x values)
= (-1 - 6) / (0 - -4)
= -7 / (0 + 4)
= -7/4.
so our slope (gradient) is -7/4
Find the degrees of freedom, alpha or significance level, and the t-critical value using the t-table n = 27 ;CL=98\%
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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The frequency table shows the results of a survey about favorite exhibits. Find the relative frequency that a randomly selected student's favourite exhibit was either dinosaurs, or planets, express your answer as a decimal.
Butterfly: 12
Dinosaurs: 25
Planets: 17
Trains: 6
The relative frequency that a randomly selected student's favorite exhibit was either dinosaurs, or planets is 0.7.
How do we find the relative frequency?To find the relative frequency, we will divide the number of students who chose dinosaurs or planets by the total number of students surveyed.
The total number of students surveyed is 12 + 25 + 17 + 6 = 60.
The number of students who chose dinosaurs or planets is 25 + 17 = 42.
Therefore, the relative frequency will then be 42 / 60 = 0.7.
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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!
Answer:
150 m²
Step-by-step explanation:
You want the total area of a figure consisting of a 12 m wide rectangle 5 m high with a triangle above that bringing the total height to 20 m.
Rectangle areaThe area of the rectangle is the product of its length and width:
A = LW
A = (12 m)(5 m) = 60 m²
Triangle areaThe area of the triangle is half the product of its base and height.
A = 1/2bh
A = 12/(12 m)(20 -5 m) = 90 m²
Total areaThe area of the whole figure is the sum of the areas of its parts:
total area = rectangle area + triangle area
total area = 60 m² +90 m² = 150 m²
The area of the figure is 150 m².
__
Additional comment
Since you know a triangle's area is equivalent to the area of a rectangle that has half the height, the 15 m high triangle can be considered as a rectangle 7.5 m high. Adding that to the 5 m area of the rectangle already there gives the equivalent area as that of a rectangle 12 m wide and 5+7.5 = 12.5 m high: (12 m)(12.5 m) = 150 m².
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please help fast !!!
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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What is the distance between $500 and $-61.63
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.
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
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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Hello, someone help me with this integral, it gets complicated when they are like this, please help, I need it to pass: c
.....dx
∫ --------
...1−25x²
Answer:
∫(1 - 25x²) dx
Step-by-step explanation:
A presidential candidate plans to begin her campaign by visiting the capitals and three of 43 states. What is the probability that she selects the route of three specific capitals
The probability that she selects the route of three specific capitals is 3/43
What is the probability that she selects the route of three specific capitalsFrom the question, we have the following parameters that can be used in our computation:
States = 43
Capitals = 3
The probability is then calculated as
P = Capitals/States
substitute the known values in the above equation, so, we have the following representation
P = 3/43
Hence, the probability is 3/43
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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
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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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.
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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calculation of average speed of a car travelling at 200 km in 2 hours 30 minutes
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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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)
Recta de pendiente 1⁄4 que pasa por (3,0).
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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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
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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solve each equation 1/3a= -15
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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Here is the histogram of a data distribution.
5
4
لیا
3-
2-
1 2 3 4 5 6 7 8 9 10
What is the shape of this distribution?
OA. Unimodal skewed left
B. Uniform
OC. Unimodal symmetric
D. Unimodal skewed right
E. Bimodal
W
The given histogram is bimodal, which is the last option/ option E, as bimodal distribution means that the data set has two distinct peaks or modes. In a bimodal histogram, the bars are grouped in a way that shows two prominent peaks or modes in the data.
Each bar in the histogram represents a specific range of values, and the height of the bar indicates the frequency or count of data points falling within that range. In a bimodal histogram, there will be two relatively high bars that correspond to the two modes of the data. The bimodal histogram is useful for visualizing and analyzing data sets that exhibit two distinct groups or clusters. It provides a clear visual representation of the two modes and their frequencies, which can help in identifying patterns and understanding the underlying characteristics of the data.
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Rank the circles from largest area to the smallest area Circle a has the diameter of 8 cm circle b has a radiusof 5 cm circle C has an area of 20 pi centimeters
hat amount did she get back? (h) Ujeli had 11 pencils. She kept 3 pencils for herself and divided the remaining pencil equal among 4 of her friends. How many pencils did she give to each of them?
Answer:
2
Step-by-step explanation:
Ujeli had 11 pencils and she kept 3 so 11-3 = 8
so that means that the remaining pencil were dived by 4 (8÷2) = 2
Translate the following phrase into an algebraic expression. Do not simplify. Use the variable names "x" or "y" to describe the unknowns.
8 divided by the sum of a number and 4
Answer:
Step-by-step explanation: you are sped that is the answer black n
100 Points! Geometry question. Photo attached. Please show as much work as possible. Thank you!
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.
Serena is making a model of one of the Egyptian pyramids. The square base has sides that are all 4.4 in. Each of the triangular faces has a base of 4.4 in and a height of 3.8 in. How much paper would it take to cover the entire pyramid?
52.8 square inches of paper to cover the entire Pyramid.
The amount of paper needed to cover the entire pyramid, we need to determine the total surface area of the pyramid.
The pyramid consists of a square base and four triangular faces.
1. Base Surface Area:
The surface area of the square base can be calculated by finding the area of a square with sides measuring 4.4 inches. The formula for the area of a square is side length squared:
Base Surface Area = (4.4 in)² = 19.36 in²
2. Triangular Faces Surface Area:
Each triangular face of the pyramid has a base of 4.4 inches and a height of 3.8 inches. The formula for the area of a triangle is 1/2 times the base times the height:
Triangular Face Surface Area = 1/2 * (4.4 in) * (3.8 in) = 8.36 in²
Since the pyramid has four triangular faces, the total surface area of the triangular faces is:
Total Triangular Faces Surface Area = 4 * (8.36 in²) = 33.44 in²
3. Total Surface Area:
To calculate the total surface area of the pyramid, we add the base surface area to the total triangular faces surface area:
Total Surface Area = Base Surface Area + Total Triangular Faces Surface Area
= 19.36 in² + 33.44 in²
= 52.8 in²
Therefore, it would take approximately 52.8 square inches of paper to cover the entire pyramid.
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This is not a question. Next time, please add a question so that others might be able to help you with it
Adjusted Trial Balance from Buildex Company
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