In the diagram, what is the length of arc AB?
A. 4.2 cm
B. 12.4 cm
C. 13.9 cm
D. 11.8 cm
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Answer:
Step-by-step explanation:
Related Questions
What is the quotient (x3 – 3x2 + 3x – 2) ÷ (x2 – x + 1)?
Answers
-2/x+1
the / is a fraction symbol xxx
Find the distance between the points with coordinates (5, 7) and (-3, 1)
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Now plug in your numbers.
This gives you root(7-1)^2+(5-(-3))^2.
Simplify to root(6)^2+(8)^2. Simplify again to root36+64.
Simplify one more time to root 100. now solve.
Your answer is 10.
What is 51/4 ÷ 22/7 ? A. 1219/64 B. 219/64 C. 2 D. 12
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change ÷ to × and flip the second fraction
51/4 × 7/22
multiply
357/88 or 4.0568
the answer is not here
B is correct :
5 1/4 = 21/4
2 2/7=16/7
21/4x7/16=147/64=2 19/64
The base of a pyramid covers an area of 13.3 acres (1 acre = 43,560 ft2) and has a height of 473 ft. if the volume of a pyramid is given by the expression v = bh/3, where b is the area of the base and h is the height, find the volume of this pyramid in cubic meters.
Answers
1 cubic meter = 35.315 cu ft
Volume of the pyramid = 6867960 / 35.315 = 194,477.13 cubic meters
How would you represent 3 quarter notes as a fraction?
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12 sixteen notes have a nice day
Use graphs and tables to find the limit and identify any vertical asymptotes of the function
lim x->4^- x/x-4
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The function F(x) = 6x-2/5 is an example of a rational function.
A. True
B. False
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The function F(x) = (6x-2)/5 is an example of a rational function.
Explanation:The function F(x) = (6x-2)/5 is an example of a rational function. A rational function is a function that can be expressed as the quotient of two polynomial functions, where the denominator is not equal to zero.
In this case, the function F(x) has a numerator of 6x-2 and a denominator of 5. Both the numerator and denominator are polynomial functions since they involve multiplication, addition, and subtraction of terms with x.
Therefore, the function F(x) = (6x-2)/5 is indeed a rational function, so the correct answer is True.
The function F(x) = (6x-2)/5 is an example of a rational function because it can be expressed as a ratio of two polynomials.
Function F(x) = (6x-2)/5 is an example of a rational function because it is a ratio of two polynomials. The numerator, 6x-2, is a linear polynomial, and the denominator, 5, is a constant polynomial.
To determine if a function is rational, we check if the function can be expressed as a quotient of two polynomials. In this case, F(x) is a ratio of a linear polynomial, 6x-2, and a constant polynomial, 5.
Therefore, the statement is True.
One key advantage for including multiple predictor variables in the equation of a regression line is that it allows you to
Answers
what is the answer to this equation 2(3-X)=-16
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3 - x = -16/2
3 - x = -8
-x = -8 - 3
-x = - 11
x = 11
[tex]x = 11 [/tex]
[tex]Good \\ Luck \\ On \\ Your \\Assignment [/tex]
What are the rules for adding and subtracting negative numbers?
Answers
-14 - -3
= -14 + 3
= -11
a negative sign and a positive sign next to each other is a positive sign ex..
-14 + -3
= -14 - 3
= -17
the bigger a negative number the smaller it is
the bigger a positive number the larger it is
which supports the rule if you are subtracting the
number will become smaller and if you are adding
the number will become larger
Find the constant sum for an ellipse with foci F1 (0, -12), F2 (0, 12) and the point on the ellipse (9, 0).
Answers
The graph represents this piecewise function
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Answer:
Step-by-step explanation:
Given is a piecewise graph.
From the graph we find that the domain is [-3,1]
From [-3,-1) the line is slant passing through (-3,0)(-2,1)
Slope =change in y/change in x = 1
Equation is y = x+3
Thus the function is x+3 for -3≤x<-1
and 5, -1≤x≤1
When BA = 10 ft, find the area of the region that is NOT shaded. Round to the nearest whole number.
A) 52 ft^2
B) 262 ft^2
C) 43 ft^2
D) 305 ft^2
Answers
A = πr²
Substitute the value of BA to r,
A = (π)(10 ft)² = 314.16 ft²
(2) Area of the sector is calculated through the equation,
As = πr²(x/360°)
where x is the intercepted angle. Substituting the values,
As = π(10 ft)²(60°/360°) = 52.36 ft²
(3) Area of the equilateral triangle BAJ,
At = (√3)(a2²/4
where a is also equal to r or BA. Substituting,
At = (√3)(10 ft)²/4 = 43.30 ft²
The area of the region not shaded is equal to,
= (A) - (As - At)
Substituting,
= (314.16 ft²) - (52.36 ft² - 43.30 ft²)
Area = 305.10 ft²
Therefore, the answer to this answer is letter D.
A number is *K* units to the left of 0 on the number line. Describe the location of its opposite
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Solve for w. 3w – 10 = -w – 8 + 3w
Answers
3w-10=2w-8
Add 10 to both sides
3w= 2w+2
Subtract 2w from both sides
w=2
Final answer: w=2
A house cost $120,000 when it was purchased. The value of the house increases by 10% each year. Find the rate of growth each month and select the correct answer below.
Answers
[tex]\bf \qquad \textit{Amount for Exponential Growth}\\\\ A=I(1 + r)^t\qquad \begin{cases} A=\textit{accumulated amount}\\ I=\textit{initial amount}\to &120,000\\ r=rate\to 10\%\to \frac{10}{100}\to &0.10\\ t=\textit{elapsed time}\\ \end{cases} \\\\\\ A=120000(1+0.10)^t\implies \begin{array}{lclll} A=120000(&1.1&)^t\\ &\uparrow \\ &rate\\ &of\\ &growth \end{array}[/tex]
1.1 is the decimal format, but you can simply multiply it by 100 to get the percentage, 1.1 * 100 = 110%
The senior classes at High School A and High School B planned separate trips to New York City. The senior class at High School A rented and filled 6 vans and 8 buses with 202 students. High School B rented and filled 12 vans and 10 buses with 284 students. Each van and each bus carried the same number of students. How many students can a van carry?How many students can a bus carry? please show work thank you.
Answers
Class B: 12v + 16b = 284
Solve using the elimination method:
since 6v and 12v are perfect for elimination, multiply the class A equation by 2 so that the van variable cancels out:
12v + 16b = 404
12v + 10b = 284
Then subtract the bottom equation from the top:
6b = 120
b = 20
Now you know that each bus can hold 20 students.
Just plug this into one of the original equations to solve for vans:
6v + 8(20) = 202
6v + 160 = 202
6v = 42
v=7
So then you know that each van can hold 7 students.
Check:
12 (7) + 10 (20) = 284
Work the following pricing problems for services rendered. (For all calculations use hundredths.)
Labor time = 8 hours
Overhead rate = 65%
Retail price of parts = $98.70
Total cost of job = $242.58
What is hourly rate for labor?
a=27.67
b=13.32
c=10.90
d=117.08
Answers
8(1.65)R + 98.70 = 242.58
Solve for R
13.2R=242.58-98.7
13.2R=142.88
R=143.88÷13.2
R=10.9....answer
Answer:
10.90
Step-by-step explanation:
What is the perimeter of a square with a side length of 5x -8 and a bottom length of 3x of a square?
Answers
-5x -5x
-8=-2x
x=4
4(3)=20-8
12=12
12+12+12+12
48
The required perimeter of the square is 48 units as of the given condition.
Given that,
The perimeter of a square with a side length of 5x -8 and a bottom length of 3x of a square is to be determined.
What is the perimeter?
Perimeter is the measure of the figure on its circumference.
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
The length of all sides of the square is always remains equal,
5x - 8 = 3x
2x = 8
x = 4
Side length,
3x = 3(4) = 12
Now,
The perimeter of the square is 4-time sides,
Perimeter = 4 (12)
Perimeter = 48 units.
Thus, the required perimeter of the square is 48 units as of the given condition.
Learn more about perimeter here:
brainly.com/question/6465134
#SPJ5
Estimate 12.56+12.69 using front-end estimation.
A. about $25.30
B. about $26.30
C. about $26.80
D. about $23.80
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answer
A. about $25.30
Why is the mean greater than the median in right skewed?
Answers
How many lines of symmetry does a regular octagon have?
Answers
A model rocket is launched with an initial upward velocity of 32 m/s. The rocket's height h (in meters) after t seconds is given by the following.
h=32t-5t^2
Find all values of t for which the rocket's height is 10 meters.
Round your answer(s) to the nearest hundredth.
(If there is more than one answer, use the "or" button.)
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Answer:
0.33 and 6.07
Step-by-step explanation:
juanita and lauren are painting a circular mural on one wall of the community center the area of the mural is 88 square meters what is the radius.
Answers
Answer:
Radius of circular mural = 5.29 m
Step-by-step explanation:
Area of circle is given by πr².
Juanita and Lauren are painting a circular mural on one wall of the community center the area of the mural is 88 square meters
Area of circle = 88 square meters
That is
πr² = 88
[tex]r^2=\frac{88}{\pi}=28.01\\\\r=5.29m[/tex]
Radius of circular mural = 5.29 m
A baseball pitcher pitches a ball at the speed of 83 mph what conversion factors can be used to find the speed of the ball in feet per second
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Answer: [tex]121.73\text{ feet per second}[/tex]
Step-by-step explanation:
Given : The speed of a baseball pitcher = 83 mph
or 83 miles per hour
Since , we know that
1 mile= 5280 feet
1 hour = 3600 seconds
Then, 83 miles per hour = [tex]\dfrac{\text{83 mile}}{\text{1 second}}=\dfrac{83\times5280\text{ feet}}{1\times3600\text{ seconds}}[/tex]
[tex]\approx121.73\text{ feet per second}[/tex]
Hence, the speed of the ball in feet per second = [tex]121.73\text{ feet per second}[/tex]
Determine algebraically whether the function is even, odd, or neither even nor odd.
f as a function of x is equal to 2 divided by x squared.
Neither
Even
Odd
Answers
The answer probably is "EVEN"
I hope it's right and it's helps you!
Answer:
Even
Step-by-step explanation:
A function is said to be even function if we put -x instead of x and we get the same result of both function. i.e. f(-x) = f(x)
A function is said to be odd function if we put -x instead of x and we get the result as negative of that function. i.e. f(-x) = -f(x)
Now we have function, f(x) = [tex]f(x) = \frac{2}{x^{2}}[/tex]
Now putting -x in place of x
[tex]f(-x) = \frac{2}{(-x)^{2}}\\ = \frac{2}{x^{2}} = f(x)[/tex]
Hence, given function is an Even function.
The two-way table shows the number of students in a school who have hamsters and/or dogs as pets.
Have Hamsters
Do Not Have Hampsters
Total
Have Dogs
16
24
40
Do Not Have Dogs
25
35
60
Total
41
59
100
How many more students have hamsters than dogs?
1
5
8
9
Answers
Answer:
1
Step-by-step explanation:
There are a total of 16+25 = 41 students that own hamsters.
There are a total of 16+24 = 40 students that own dogs.
This is a difference of 41-40 = 1.
Answer: 1
Step-by-step explanation:
Total number of students that own hamsters 16+25 = 41.
Total of students that own dogs 16+24 = 40.
To get how many more students own hamsters than dogs, we find the difference;
That is 41-40 = 1.
Good luck
Ken wants to build a table and put a border around it. The table and border must have an area of 3,276 square inches. The table is 36 inches wide and 72 inches long without the border. Which quadratic equation can be used to determine the thickness of the border, x?
4x^2 + 216x + 2,592 = 0
4x^2 + 216x − 684 = 0
2x^2 + 216x − 3,276 = 0
x^2 + 108x + 3,276 = 0
Answers
The quadratic equation that can be used to determine the thickness of the border, x is 4x² + 216x - 684 = 0
Which quadratic equation can be used to determine the thickness of the border, x?
From the question, we have the following parameters that can be used in our computation:
Length = 72
Width = 36
Border = x
Area = 3276
The area can be represented as
Area = (Width + 2x) * (Length + 2x)
Substitute the known values into the equation
(36 + 2x) * (72 + 2x) = 3276
Expand
4x² + 216x + 2592 = 3276
So, we have
4x² + 216x + 2592 - 3276 = 0
4x² + 216x - 684 = 0
Hence the quadratic equation is 4x² + 216x - 684 = 0
simplify the expression. 7m^2+6.5n-4n+2.5m^2-n
A.) 1.5m^2+4.2n
B.)4.2m^2+1.5n
C.)1.5m^2-4.2n
D.)4.2m^2-1.5n
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Syreeta wants to buy some cds, each costing $14, and a dvd that costs $23. she has $65 to spend. write an equation to find how many cds she can buy
Answers
Answer:
14x+23y=65
Step-by-step explanation:
let cds=x and dvds=y
14x+23y=65