The arc length AB of the given circle = 11.16 m.
In the given circle,
Radius (r) = 8 m
Sector angle (θ) = 80 degree
We have to find arc length AB
Since we know that,
A curve contains an arc. A circle is the most common example of an arc, yet it may also be a section of other curved forms like an ellipse.
We also know that,
Length of arc of circle = (θ/360)x2πr
= (80/360)x2x3.14x8
= 11.16 m
Hence,
Required arc length of AB = 11.16m
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Simplify the expression.
Answer:
x
Step-by-step explanation:
(log to the base 3) of 27^x can be re-written as
x*(log to the base 3) of 27, which is equivalent to:
x*(log to the base 3 of 3^3) = x
So the answer is simply " x "
What is the distance between -6 1/3 and 4 5/12
[tex]10\frac{1}{12}[/tex] is the distance between [tex]-6\frac{1}{3}[/tex] and [tex]4\frac{5}{12}[/tex]
What is Distance?The length along a line or line segment between two points on the line or line segment.
Distance=√(x₂-x₁)²+(y₂-y₁)²
We need to find the distance between [tex]-6\frac{1}{3}[/tex] and [tex]4\frac{5}{12}[/tex]
The given fractions are mixed fractions we have to convert them to improper fractions
[tex]-6\frac{1}{3}[/tex] =-17/3
[tex]4\frac{5}{12}[/tex] =53/12
Now we have to find the difference
53/12-(-17/3)
53/12+17/3
53+68/12
121/12
[tex]10\frac{1}{12}[/tex]
Hence, [tex]10\frac{1}{12}[/tex] is the distance between [tex]-6\frac{1}{3}[/tex] and [tex]4\frac{5}{12}[/tex]
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20x+85y=120 rate of change
Answer:
-4/17
Step-by-step explanation:
You want the slope of the line described by the equation 20x +85y = 120.
Slope
Putting the equation in slope-intercept form by solving for y gives ...
20x +85y = 120
85y = -20x +120
y = -20/85x +120/85
y = -4/17x +24/17
The slope is the coefficient of x: -4/17.
The rate of change is -4/17.
Grade 7 Imagine math i will give brainlist who ever gives me the right answers. plz help me
-9-(-12)=-9+12
=3
-9-12=-9+(-12)
=-21
Hoshiko owns one-fifth of a business. She sells her share for $15,000. What is the total value of the business?
A. $3000
B. $75,000
C. $100,000
D. 150,000
Answer:
75,000
Step-by-step explanation:
15,000x5=75,000
factor the polynomial 24x^3 - 78x^2 + 45x
Answer:
3x ( 4x-3 )( 2x - 5 )
Step-by-step explanation:
24x^3 - 78x^2 + 45x
factor out biggest common values
3x ( 8x^2 - 26x + 15 )
3x ( 4x-3 )( 2x - 5 )
CONVERT 5820 GRAMS TO KILOGRAMS. (1KILOGRAMS = 1000 GRAMS)
Answer:
1Kilogram=1000
5820/1000= 5.82 kilograms
Step-by-step explanation:
please mark me as brainliest if im correct
What does this symbol mean ∈?
A hat symbol (^) is used to represent an estimated value in regression analysis.
We know that in regression analysis, the predicted values are the y-hat values.
Here y is the output variable or dependent variable
A 'hat' symbol (^) is used to denote an estimator.
A ^ symbol is placed over the variable name to denote the estimated value.
In matrix system, a hat matrix is nothing but the projection matrix.
It projects the vector of observations, y, onto the vector of predictions, y^
We know that a vector has magnitude and direction. A ^ symbol is used is represent the direction of unit vector.
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What is an equation of the line that passes through the points (4,-3) and (2,0)
y = 3/2x - 9/2
The equation of the line that passes through the points (4,-3) and (2,0) can be found using the point-slope form of a linear equation. The point-slope form of a linear equation is y-y1=m(x-x1), where m is the slope of the line and (x1,y1) is a point on the line.
To calculate the slope, we will use the formula m = (y2-y1)/(x2-x1). In this equation, (x1,y1) = (4,-3) and (x2,y2) = (2,0). Substituting these values into the slope formula, we get m = (0-(-3))/(2-4) = 3/(-2) = -1.5.
Now that we have the slope, we can plug the point (4,-3) and the slope (-1.5) into the point-slope form of a linear equation to get y-(-3)=-1.5(x-4). Simplifying this equation, we get y+3=-1.5x+6, which is the equation of the line that passes through the points (4,-3) and (2,0).
what is the length x of PQ
Answer:
11.2
Step-by-step explanation:
If the rectangulars are similar then we can use similarity ratio to calculate value of x
CD is similar to RS and AB is similar to QP
4/6.4 = 7/x cross multiply expressions
4x = 44.8 divide both sides by 4
x = 11.2
What number is 0.1 more than 25.78
Answer:
A
Step-by-step explanation:
"More than" can be taken as "that part extra", thus, addition can be helpful. The number which is 0.1 more than 25.78 is given by Option A: 25.88
How to form mathematical expression from the given description?You can represent the unknown amounts by the use of variables. Follow whatever the description is and convert it one by one mathematically. For example if it is asked to increase some item by 4 , then you can add 4 in that item to increase it by 4. If something is for example, doubled, then you can multiply that thing by 2 and so on methods can be used to convert description to mathematical expressions.
The number needed is 0.1 more than 25.78
When we add something to a number(some positive thing), we increase that thing and make it more than what it was before.
The expression "c is a more than b" means c = b + a
(b had to increase by 'a' to get equal to c, so c was already 'a' more than b)
The needed number will be 0.1 + 25.78 = 0.10 + 25.78 = 25.88
Thus, the number which is The number which is 0.1 more than 25.78 is given by Option A: 25.88
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Which of the following relations is a function? A. (-2, -2), (-6, -5), (2, 8), (2, 2) B. (-6, 2), (-2, 3), (2, 7), (6, 2) C. (6, -10), (-6, 7), (6, 6), (-6, 12) D. (-6, 0), (-2, 5), (-6, -3), (2, 9)Which of the following relations is a function? A. (-2, -2), (-6, -5), (2, 8), (2, 2) B. (-6, 2), (-2, 3), (2, 7), (6, 2) C. (6, -10), (-6, 7), (6, 6), (-6, 12) D. (-6, 0), (-2, 5), (-6, -3), (2, 9)
The correct relation which shows the function is,
⇒ (-6, 2), (-2, 3), (2, 7), (6, 2)
Option B is true.
What is Function?A relation between a set of inputs having one output each is called a function.
Now, We know that;
Function is a relation between a set of inputs having one output each.
So, By given options;
A. (-2, -2), (-6, -5), (2, 8), (2, 2)
Here, Two value of outputs 8, 2 have same input 2.
So, This is not a function.
B. (-6, 2), (-2, 3), (2, 7), (6, 2)
Here, A set of inputs having one output each.
So, This is function.
C. (6, -10), (-6, 7), (6, 6), (-6, 12)
Here, Two value of outputs - 10, 6 have same input 6.
So, This is not a function.
D. (-6, 0), (-2, 5), (-6, -3), (2, 9)
Here, Two value of outputs 0, -3 have same input -6.
So, This is not a function.
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what is the value -2(4*2+(1/2)2)
Answer: -2(4*2+(1/2)2) = -18
Step-by-step explanation: In order to solve this problem, we just have to use the order of operations. This can be shortened to PEMDAS.
The first step is PARENTHESIS. There are two parenthesis within this problem, so we start from the smaller ones and then go to the bigger ones. So, 1/2. That's equal to 0.5, so now we have -2(4*2+(0.5)2).
There are no EXPONENTS within this problem, so we skip the E part of the order.
Next is MULTIPLICATION and DIVISION. There are two instances of multiplication within the parenthesis. 4*2 is equal to 8. Because 2 is right next to the parenthesis, its contents are being multiplied by it. So, 0.5*2 is equal to 1.
Next is ADDITION and SUBTRACTION. There's no subtraction, but we can add 1 and 8 to get 9. This was the final process within the parenthesis, so now we can focus on what's happening outside.
For the same reasons mentioned before, we know that 9 is being multiplied by -2. 9*-2 is equal to -18. This is because any positive number multiplied by a negative number will result in a negative product.
Thus, our final answer is -18.
If p(x) = b² - 16b +32 and q(x) = -32b-32 what values of x does p(x)=q(x)?
The functions are p(x) = b² - 16b +32 and q(x) = -32b-32 the x value when the functions are equivalent to each other is 8.
Given that,
The functions are p(x) = b² - 16b +32 and q(x) = -32b-32
We have to find the x value when the functions are equivalent to each other.
We know that,
Take the functions
p(x) = b² - 16b +32 and q(x) = -32b-32
When the function are equivalent
p(x) = q(x)
b² - 16b +32 = -32b-32
b² - 16b +32 +32b+32=0
b² + 16b +64 = 0
Now find the factors for 64
64 = 8×8
b² + 8b + 8b +64 = 0
Taking common terms
b(b + 8) + 8(b + 8)=0
(b + 8)(b + 8)=0
b=8
Therefore, The functions are p(x) = b² - 16b +32 and q(x) = -32b-32 the x value when the functions are equivalent to each other is 8.
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5.55
How much smaller is the underlined number than the number to its left?
A
1
10
times
B
5
10
times
C
5 times
D
10 times
help me im so bad at this
Answer:
the answer would be 5/24 :)
What is the area of the parallelogram with vertices at (0,1), (-1,2), (5,4) and (6,3)?
12 square units
10 square units
8 square units
16 square units
Answer:
d 16
Step-by-step explanation:
help help help help use slope form to write the equation of a line that passes through the point (7,-16) with slope 3.
required equation is, y=3x-37.
What is slope?In mathematics, the slope or gradient of a line is a number that describes both the direction and the steepness of the line.
Here, given that,
we have to find,
the equation of a line that passes through the point (7,-16) with slope 3.
we know,
y = mx+c
i.e. -16 = 3*7+c
so, c= -37
hence, required equation is, y=3x-37.
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Find the area of the triangle. a. 168 sq. inches b. 35 sq. inches c. 84 sq. inches d. 60 sq. inches
Answer:
(B)
Step-by-step explanation:
we can solve by using formula (1/2) x base x height to get the answer.
The figure below shows a diagram of a reading room. The perimeter of the reading room is 60 feet. What is the width,w, of the reading room?
Answer:
the answer is 20ft the second choice B
Find the area of the following color regions?
Answer:
72 m²
Step-by-step explanation:
12 m × 8 m = 96 m²
(12 × 4) ÷ 2 = 24 m²
96 m² - 24 m²
72 m²
please help will get rewared with brainliest ad 5 stars if correct answer please help struggling in school rn
Answer: Yes that I correct.
Step-by-step explanation:
Because 25 times 4 is 100 and what you do to the bottom you have to do to the top so 7 times 4 is 28
d. -(y² - 2) = y²-5-2y², solve for y
Answer:
No solution
Step-by-step explanation:
-(y² - 2) = y²-5-2y²
= y^2 - 5 - 2y^2 = - (y^2 - 2)
= -y^2 - 5 = - (y^2 - 2)
= −(y^2 − 2)
= -y^2 - 5 = -y^2 + 2
-5 = 2
We know that -5 is not equal to 2
So, there is no solution
Answer:
2
Step-by-step explanation:
please help I found this one a bit confusing
Answer:
C
Step-by-step explanation:
If you look closely.. You can see that one is longer than the other
Forty students are in drama club. 3/8 of the students have a part in the spring play. How many student have a part
Answer:
15
Step-by-step explanation:
-/40 and 3/8 40/5=8 3x5=15
Answer:
15 out of 40 students have a part in the spring play.
Step-by-step explanation:
(3/8) * 40 = 15
fill in the following statements with sometimes, always, or never in order to the statements true
Perfect squares NEVER be irrational numbers.
Repeating decimals will ALWAYS be rational numbers.
Irrational numbers will NEVER be able to be written as fractions.
What is a perfect square?A square number, also known as a perfect square, is an integer that is the square of another integer, or the result of multiplying another integer by itself. For instance, 9 is a square number since it equals 3² and is represented by the symbols 3 × 3.
A number whose decimal representation eventually becomes periodic is known as a repeating decimal, also known as a recurring decimal.
All real numbers that are not rational are considered irrational numbers. In other words, it is impossible to express an irrational number as the ratio of two integers.
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Complete question
Fill in the following statements with either "sometimes ", "always ", or "never " in order to make it a true statement.
Perfect squares _______be irrational numbers
Repeating decimals will_____be rational numbers
Irrational numbers will____ be able to be written as fractions
What is the mirror image of 2 5 in y-axis?
The mirror image of (2,5) in y-axis is (-2,5)
The term mirror image of the point is a reflected duplication that appears identical but in reverse.
Here we have given point is (2, 5).
And we have to find the mirror image of this point with respect to the y-axis that is the mirror image is a point whose distance is same from the origin O (0, 0) and same from both axes as of the point (2, 5) is.
As we all know that (2, 5) lies on the first quadrant, then the mirror image with respect to the y-axis must lie on the second quadrant.
And we all also know that In second quadrant, here the x-coordinate of any point (x, y) is negative.
Therefore, while we looking into the given graph we have identified that the mirror image is (- 2, 5).
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The table shows the relationship between the participants walking and running for the week's cross-country practices. Walk (laps) 3 B 15 Run (laps) 5 10 D Total (laps) A C 40 At this rate, how many laps will the participants walk if the total distance is 16 miles? How many miles will they run? They will walk 6 laps and run 10 laps for a total of 16 miles. They will walk 9 laps and run 7 laps for a total of 16 miles. They will walk 10 laps and run 6 laps for a total of 16 miles. They will walk 5 laps and run 11 laps for a total of 16 miles.
At the given rate, we can say that they will walk 6 laps and run 10 laps for a total of 16 miles.
What is a direct proportional relationship?In a direct proportional relationship, we can say that the output variable is found by the multiplication of the input variable and the constant of proportionality k, as follows:
y = kx.
For the first question, we have that out of a total distance of 8 miles, and we can see that;
Walk is 3/8 of the distance.
Run is 5/8 of the distance.
Thus, the proportional relationships for the distances are given as follows:
Walked = 3/8 x Total Distance.
Ran = 5/8 x Total Distance.
We are told that the total distance is 16 miles and so;
Walked: 3/8 * 16 = 6 laps
Ran: 5/8 * 16 = 10 laps
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What is the area in square units?
By geometric formulas, the gray square has an area of 25 square units.
How to determine the area of the gray squareSquares are quadrilaterals with four right angles. In this question we find a geometric system formed by seven squares with distinct dimensions. By geometry, the area of a square (A), in square units, is equal to following formula:
A = l²
Where l is the length of the side of a square, in units.
All the required lengths are represented in the image attached below. First, determine the side length of the gray square:
7 + x = 12
x = 12 - 7
x = 5
The gray square has four sides with a length of 5 units.
Second, determine the area of the gray square by means of square formula:
A = x²
A = 5²
A = 25
According to area formula for squares, the area of the gray square is equal to 25 square units.
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write the equation of the line that is parallel to the -3x - 6y= 12 and passing the point (1,-8) in standard form
Answer:
x + 2y = -15
Step-by-step explanation:
simplify -3x - 6y = 12 by dividing a -3 from each term to get:
x + 2y = -4
now put into slope-intercept form to get:
2y = -x - 4
y = -1x/2 - 2
parallel lines have the same slope so we know our answer must have a slope of -1/2
now we can plug (1,-8) into y=mx + b to get the 'y-intercept', or 'b'
-8 = 1(-1/2) + b
-8 = -1/2 + b
b = -7 1/2 or -15/2
we now know the slope and the y-intercept so our answer is:
y = -x/2 - 15/2
re-write in standard form, which is ax + by = c
multiply each term by 2 to get:
2y = -x - 15
add 'x' to each side to get:
2y + x = -15
x + 2y = -15