A circle centered at the origin has a radius of 40 centimeters. An angle in standard position intercepts the circle to create a sector with an arc length of 60.04
Answers
The coterminal angles measures of this angle(Ф) is 88.2° + 360°k, k ∈ N.
What are coterminal angles?
Coterminal angles are those that have the same terminal side as an angle in the standard position. The vertex is at the origin and one side of the angle is fixed along the positive x-axis in the standard position.
Here, we have
Given: A circle centered at the origin has a radius of 40 centimeters. An angle in standard position intercepts the circle to create a sector with an arc length of 60.04.
We know, The length of an arc is l = (Ф/360°)×2πr.
60.04 = (Ф/360°)×2πr.
(Ф/360°) = 60.04/120π.
(Ф/2π) = 60.04/(120π).
Ф = 60.04/60.
Ф = 1.00 rad or (1.00×180°).
= 180°.
In the standard position, it is (360 - 180)°.
= 180°
Ф = 180° + 360°k, k ∈ N.
Hence, The coterminal angles measures of this angle(Ф) is 88.2° + 360°k, k ∈ N.
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Related Questions
Marisa's hair grew 11 in. in 2 mo.
how many inches did her hair grow in a month
Answers
Rationalise the denominator
(1+5√)/2√
plz help
with working plz
Answers
Given:
The radical expression is
\(\dfrac{1+\sqrt{5}}{\sqrt{2}}\)
To find:
The value of the given expression after rationalizing the denominator.
Solution:
We have,
\(\dfrac{1+\sqrt{5}}{\sqrt{2}}\)
Multiply numerator and denominator by \(\sqrt{2}\).
\(=\dfrac{(1+\sqrt{5})\times \sqrt{2}}{\sqrt{2}\times \sqrt{2}}\)
\(=\dfrac{\sqrt{2}+\sqrt{5}\sqrt{2}}{2}\)
\(=\dfrac{\sqrt{2}+\sqrt{10}}{2}\) \([\because \sqrt{ab}=\sqrt{a}\sqrt{b}]\)
Therefore, the required expression after rationalizing the denominator is \(\dfrac{\sqrt{2}+\sqrt{10}}{2}\).
Right answer gets brainlist
Answers
Answer: 150
Step-by-step explanation:
anthony and cleopatra are lying dead on the floor in a villa. nearby on the floor is a broken bowl. there is no mark on either of their bodies and they were no posioned. how did they die
Answers
Anthony and Cleopatra were lying dead on the floor in a villa because they were fishes in the water bowl that might have fallen and broke down.
Since, there was a broken bowl nearby the dead bodies,
it seems like Anthony and Cleopatra were fishes who were in the water in the bowl that broke down.
Since the bowl in which the fishes were, broke down, the water of the bowl spilled and the fishes were no more in water due to which they died. This is the because there was no mark on their body and were neither poisoned.
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3. Alice wants to buy a shirt that is listed for $25. If she has a coupon that saves her 40%, how much will Alice save?
Answers
Answer:
she would save $10
Step-by-step explanation:
shirt = $25
coupon = 40%
25 * .40 = 10 ---> represents 40% of 25
she would save $10
extra:
25-10 = 15 ---> she would pay $15
Answer:
$10
Step-by-step explanation:
25:40
Polly stacked the tins from five boxes of cat food onto an empty shelf in a supermarket. There were 15 tins of cat food in each box. At the end of the week there were 20 tins left on the shelf. The rest of the tins had been sold. Write the number of boxes of cat food that had been sold, as: (a) A mixed number (b) An improper fraction
Answers
Answer:
(a) \(3\frac{2}{3}\) boxes of cat food had been sold.
(b) \(\frac{11}{3}\) boxes of cat food had been sold.
Step-by-step explanation:
From the question,
Polly stacked the tins from five boxes of cat food onto an empty shelf and there were 15 tins of cat food in each box. That is,
5 × 15 tins of cat food were stacked onto the empty shelf.
5 × 15 = 75
Hence, 75 tins of cat food were stacked onto the empty shelf.
Also, from the question,
At the end of the week there were 20 tins left on the shelf and the rest of the tins had been sold, that is
75 - 20 tins had been sold
75 - 20 = 55
Hence, 55 tins of cat food had been sold.
To determine the number of boxes of cat food that had been sold,
Since there are 15 tins of cat food per box, then
we will divide 55 tins of cat food that had been sold by 15 tins of cat food per box
55 ÷ 15 = \(\frac{55}{15}\)
Hence, \(\frac{55}{15}\) boxes of cat food had been sold
(a) As a mixed number
\(\frac{55}{15} = 3\frac{2}{3}\)
Hence, \(3\frac{2}{3}\) boxes of cat food had been sold.
(b) As an improper fraction
\(\frac{55}{15} = \frac{11}{3}\)
Hence, \(\frac{11}{3}\) boxes of cat food had been sold.
can somebody help me with this? (will mark brainiest)
Answers
Answer:
17s + 5t
Step-by-step explanation:
Simple. There are two variables that can be added. Also another that can't be added. Add the two variables and the other one and you've got the answer.
Answer:
the question is not complete
5s + 12s = 17s
If the conclusion of an argument is a tautology, then the counterexample set of that argument must be inconsistent. True or False?
Answers
The statement "If the conclusion of an argument is a tautology, then the counterexample set of that argument must be inconsistent" is true.
Let's understand why?
Explanation:
An argument with a tautology conclusion is an argument that arrives at a conclusion that is always true, regardless of the truth values of the premises. In other words, it is impossible for the premises to be true while the conclusion is false.
This means that any attempt to find a counterexample that disproves the conclusion will always fail, as there is no possible scenario in which the conclusion is false.
The counterexample set of an argument is the set of all possible scenarios in which the premises are true but the conclusion is false. If the conclusion is a tautology, then there is no possible scenario in which the conclusion is false, and thus the counterexample set is empty. An empty counterexample set is equivalent to an inconsistent counterexample set, as it means that there is no consistent scenario in which the conclusion is false.
Therefore, if the conclusion of an argument is a tautology, then the counterexample set of that argument must be inconsistent.
Hence, the statement is true.
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Solve for x 2/5(3x−1)=4−1/2(x+2)
Answers
The solution to the equation 2/5(3x - 1) = 4 - 1/2(x + 2)** is **x = 1.
To solve the equation **2/5(3x - 1) = 4 - 1/2(x + 2)** for **x**, we will simplify and solve step by step. Let's begin:
First, distribute the **2/5** on the left side and **-1/2** on the right side:
**2/5 * 3x - 2/5 * 1 = 4 - 1/2 * x - 1/2 * 2**
Simplifying further:
**6/5x - 2/5 = 4 - 1/2x - 1**
Next, combine like terms on both sides:
**6/5x + 1/2x = 4 - 1 + 2/5**
Finding a common denominator and adding the fractions:
**12/10x + 5/10x = 15/10 - 2/10 + 4/10**
Combining the x terms:
**17/10x = 17/10**
Now, isolate **x** by multiplying both sides of the equation by the reciprocal of **17/10**, which is **10/17**:
**x = (17/10) * (10/17)**
Simplifying the expression:
**x = 1**
Therefore, the solution to the equation **2/5(3x - 1) = 4 - 1/2(x + 2)** is **x = 1**.
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The box plots below represent the scores for games played by two high school basketball teams over the last 5 seasons.
Based on these plots, which statement regarding the means of the two data sets is is most likely true?
A The mean score per game is higher for South County High School because the distribution of South County High School's scores is not as skewed as the distribution of Central High School's scores.
B The mean score per game is about the same for both schools because their median scores are about the same.
C The mean score per game is higher for Central High School than for South County High School because the distribution of Central High School's scores is skewed right and contains large outliers.
D No conclusion can be drawn regarding the means because the box plots only show medians and quartiles.
Answers
The mean score per game is higher for Central High School than for South County High School because the distribution of Central High School's scores is skewed right and contains large outliers.
What is mean?Mean is defined as the ratio of the sum of the number of the data sets to the total number of the data.
From the data given in the box plot, we can conclude that the mean score per game is higher for Central High School than for South County High School because the distribution of Central High School's scores is skewed right and contains large outliers.
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Complete the statements about circle Z. A central angle, such as angle ____ of circle Z, is an
Answers
Answer:
A central angle, such as angle of circle Z, is an angle whose vertex is and whose sides are radii of the circle.
Answer:
do you have a pic of the circle
Step-by-step explanation:
Range, mode, MAD, median IQR, mean
Answers
Answer:
range=8, mode=1 Median=3 mean=4
Step-by-step explanation:
range= subtract largest from smallest
mode= most frequent
median= middle in an ordered data set
Mean= add them all up and divide by how many you addded up
Answer:
Range : 8
Mode : 1
MAD : N/A
Median : 3
IQR : N/A
Mean : 4
Step-by-step explanation:
Finding Range:
To find range within a set of numbers, you have to find the smallest number, which in this case is 1. And the biggest number, being 9. Then subtract the biggest number by the smallest.
9 - 1
8 is our range.
Finding Mode:
Finding Mode is finding the most common (or repeated) number within the set.
1 , 1 , 3 , 6 , 9
One appears two times unlike all the other numbers appearing once, therefore having 1 as our mode.
Finding MAD :
I have never heard of this term so I wouldn't want to cheat or give you a wrong answer.
Finding Median :
Median is simply finding the number in the middle of the number set.
1 , 1 , 3 , 6 , 9
3 is in the middle of the set, making 3 our median.
Finding IQR :
Like MAD, I have never heard of this term so I wouldn't want to cheat or give you a wrong answer.
Finding Mean :
Mean is adding all the numbers together, then dividing that final value by the amount of numbers there are.
1 + 1 + 3 + 6 + 9
20
There are five numbers within the set.
20 / 5
4
4 is our mean.
Please help me with parts C and D, I’m struggling with them
Answers
ANSWER
\(\begin{gathered} c)s\imaginaryI n\frac{\theta}{2}=\sqrt{\frac{1}{2}(1-\frac{\sqrt{13}}{7})} \\ decimal=0.49 \\ d)cos\frac{\theta}{2}=\sqrt{\frac{1}{2}(\frac{\sqrt{13}}{7}+1)} \\ decimal=0.87 \end{gathered}\)EXPLANATION
Given;
\(\begin{gathered} sin\theta=\frac{6}{7} \\ 0<\theta<\frac{\pi}{2} \end{gathered}\)c) Hence;
\(\begin{gathered} sin\frac{\theta}{2}=\sqrt{\frac{1}{2}(1-\frac{\sqrt{13}}{7}}) \\ \end{gathered}\)In decimal form;
\(sin\frac{\theta}{2}=0.49\)d)
\(\begin{gathered} cos\theta=\frac{\sqrt{13}}{7} \\ cos\frac{\theta}{2}=\sqrt{\frac{1}{2}(\sqrt{\frac{13}{7}+1})} \\ decimal=0.87 \end{gathered}\)PLEASE PLEASE HELP!!!
Answers
Answer:
A. ??
Step-by-step explanation:
have a nice day and hope it helps
What are the values of a 1 and r of the geometric series? 1 3 9 27 81.
Answers
For the given geometric series the value of the common ratio(r) is 3, while the value of a₁ is 1.
What is geometric series?A series of numbers whose any two consecutive numbers are always in a common ratio of that series.
Given to us
Series, 1 3 9 27 81
To find the value of the common ratio(r), we will simply find the ratio of any two consecutive numbers, therefore,
\(r = ratio = \dfrac{3}{1} = 3\)
As we can see the common ratio of the given series is 3, therefore, every next number will be thrice the number before.
We need to find the value of a₁ for the given series, and as we know that a₁ is the first number of the series with which the series is starting, therefore,
a₁ = 1
Hence, for the given geometric series the value of the common ratio(r) is 3, while the value of a₁ is 1.
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If anyone could help me soon it would be much appreciated.
Answers
Answer:
x² - 12x + 27
given:
f(x) = x² - 11x + 24g(x) = x - 3solve function:
→ f(x) - g(x)
→ x² - 11x + 24 -(x - 3)
→ x² - 11x + 24 - x + 3
→ x² - 11x -x + 24 + 3
→ x² - 12x + 27
Done!
this is the question.
Answers
Answer:
-1
Step-by-step explanation:
Answer in attachment.
Hope it helps :)
Help me plzzzzzz
help me help me
Answers
Answer:
Step-by-step explanation it’s d
Explanation: Because this fraction is being divided by tenths not hundredths of fourths.
The clock in Sri's car, which is not accurate, gains time at a constant rate. One day as he begins shopping he notes that his car clock and his watch (which is accurate) both say 12:0012:00 noon. When he is done shopping, his watch says 12:3012:30 and his car clock says 12:3512:35. Later that day, Sri loses his watch. He looks at his car clock and it says 7:007:00. What is the actual time
Answers
The actual time is `7:16`.
Let's consider the difference between the two times.
Then we can set up an equation to solve for the actual time difference.`12:35 - 12:30 = 0:05`
We have 5 minutes as a difference between these two times.
Since the clock in Sri's car gains time at a constant rate, we can divide the difference by 5 and find out how many minutes Sri's car clock runs fast per minute.
That would be 1 minute per 5 minutes, or 1/5 minutes per minute.`7:00 - 12:35 = -5:35`
The car clock is running fast, so we will subtract the `5/5` or `1` minute from the car clock time for every minute of the actual time.
We can convert the difference to minutes and add the number of minutes to `12:35` to get the actual time.`
5 x (1/5) = 1`
The clock is running fast at the rate of `1` minute per `5` minutes.`-5:35 ÷ 1 = -5.5833`
The time difference in minutes is `-5:35`.
Therefore the actual time is `12:35 - 5.5833 = 6:76 ≈ 7:16`.Therefore, the actual time is `7:16`.
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A rectangle has a length of 8ft and a width of 9ft. What is the area of the rectangle, in ft^2?
Answers
Answer:
72ft
Step-by-step explanation:
A=wl=9·8=72ft²
How far will 490 Joules raise a block weighing 7N?
Answers
Answer: 70
Step-by-step explanation: Think what times 7 times a number =490.
So do 490 divide by 7 which gives you 70 as your answer.
Hope it helps :)
50 POINTS! please help me with this, need work and explanation to get right
A 5000-seat theater has tickets for sale at $27 and $40. How many tickets should be sold at each price for a sellout performance to generate a total revenue of $153,200?
Answers
Step-by-step explanation:
let the $27 tickets =A, and the $40 tickets =B
the equations system would be :
A + B = 5000 => A = 5000-B
27A + 40B = 153,200
by using substitution =>
27(5000-B)+40B = 153,200
135,000 -27B +40B = 153,200
13 B = 153,200 - 135,000
13 B = 18,200
B = 18,200/13 = 1,400
A = 5000-1400 = 3,600
so, the $27 tickets = 3,600
and the $40 tickets = 1,400
Please help !
50 points !
Use the quadratic regression feature of a graphing calculator to find a quadratic model. Round to the nearest hundredths place.
A. Y=0.06x^2+0.31+4
B. Y=-4.03x^2+0.32x+8.19
C. Y=0.06x^2-0.31x-4
D. Y=4.03x^2-0.32x-8.19
Answers
Answer:
It is A
Step-by-step explanation:
Answer:
its A he's right
Step-by-step explanation:
you are to build a rectangular pen with three parallel partitions using 500 feet of fencing. what dimensions will maximize the total area of the pen?
Answers
The dimensions required are 125 feet and 50 feet.
The derivative of a function of a single variable at a chosen input value, when it exists, is the slope of the tangent line to the graph of the function at that point. The tangent line is the best linear approximation of the function near that input value. For this reason, the derivative is often described as the "instantaneous rate of change", the ratio of the instantaneous change in the dependent variable to that of the independent variable. Derivatives can be generalized to functions of several real variables. In this generalization, the derivative is reinterpreted as a linear transformation whose graph is (after an appropriate translation) the best linear approximation to the graph of the original function. The Jacobian matrix is the matrix that represents this linear transformation with respect to the basis given by the choice of independent and dependent variables.
The total length will be x and the height will be y.
Perimeter = 500 = 2x + 5y
Total Area = A = xy
Solve for y using the equation of perimeter:
5y = 500 - 2x
y = 100 - 2x/5
Put y in the equation of the Area
A = x(100 - 2x/5)
A = -2x²/5 +100x
To find the maximum area, find the derivative:
A' = -4x/5 + 100
To maximise the area, we equate A' to zero.
A' = 0
-4x/5 +100 = 0
∴ x = 125
A' is positive when x < 125 and A' is negative when x >125, therefore meaning that x=125 is a maximum. Since this value is a maximum, the area is maximized when the total length is 125ft.
Put x = 125 in equation of perimeter:
500 = 2(125) + 5y
500 = 250 + 5y
5y = 250
∴ y = 50 ft
Thus, the dimensions required are 125 feet and 50 feet.
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Solve for x, where M is molar and s is seconds. x=(6.4×10
3
M
−2
s
−1
)(0.46M)
3
Enter the answer. Include units. Use the exponent key above the answer box to indicate any exponent on your units.
Answers
The solution for x is 621.5424 M \(s^{-1}\), with units of molar per second (M \(s^{-1}\)).
To solve for x in the equation x = (6.4×10^3 M^(-2) s^(-1))(0.46M)^3, we can simplify the expression and calculate the result. Let's break it down step by step: x = (6.4×10^3 M^(-2) s^(-1))(0.46M)^3
First, let's simplify (0.46M)^3: (0.46M)^3 = (0.46^3)(M^3) = 0.097336M^3
Now, substitute this back into the equation:
x = (6.4×10^3 M^(-2) s^(-1))(0.097336M^3)
Next, multiply the terms: x = 6.4×10^3 × 0.097336 M^(-2) s^(-1) M^3
When multiplying the terms with the same base, we add the exponents:
x = 6.4×10^3 × 0.097336 M^(-2 + 3) s^(-1)
Simplifying the exponent: x = 6.4×10^3 × 0.097336 M^(1) s^(-1)
Now, multiply the numerical values: x = 621.5424 M s^(-1)
Therefore, the solution for x is 621.5424 M s^(-1), with units of molar per second (M s^(-1)).
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Plzzzzzz help me with all 3 answers
Answers
Answer:
1) is arithmetic (because your adding 10)
2) is not arithmetic
3) is arithmetic ( because your adding 10)
Step-by-step explanation:
3f+7=1
Plz write explanation
Answers
Answer:
f = -2
Step-by-step explanation:
3f + 7 = 1
or, 3f = 1 - 7
or, 3f = -6
or, f = -6/3
or, f = -2
What is the nearest ten for the point shown on the number line below?
Answers
Answer:
50
Step-by-step explanation:
because when we round off it to the nearest ten it is more nearest to the 50 than 60
Can somebody help me find the vertex, AOS, and solution
I need help on 8 and 9
Please help me Asp
Answers
Answer:
Vertex for 8: (-1,-1) Aos for 8: -1
Vertex for 9 (5,0) Aos: 5
I’m not sure about the solution because I’m not sure what you mean by solutions. So sorry!!! :-(
Find the area of the circle below. A = pi r^2 (leave in terms of pi)
Answers
\(\pi \: {(3xy}^{3} ) ^{2} \\ = \pi \times {3}^{2} \times {x}^{2} \times {y}^{3 \times 2} \\ = 9\pi {x}^{2} {y}^{6} \)
Answer:
\(9\pi {x}^{2} {y}^{6} \)
Hope you could understand.
If you have any query, feel free to ask.