1. The area of two concentric circles with radii 28 cm and 18 cm is 460π cm^2.
2. If the perimeter and the area of the circle are numerically equal then find the radius of the circle is 2 units.
What are concentric circles?
Concentric circles are those that share a common centre but have differing radii. It is described as two or more circles with the same centre, in other words.
The radii of two concentric circles are 28 cm and 18 cm.
The bigger circle has a radius of r1=28 cm and the smaller circle has the radius of r2=18 cm.
Area of two concentric circles is -
A = π[(r1)^2-(r2)^2]
A = π[(28)^2-(18)^2]
A = π[(28+18)(28-18)]
A = π[46 × 10]
A = 460π cm^2
Therefore, the area of concentric circle is 460π cm^2.
The formula for perimeter of the circle is 2πr, and the formula for the area of the circle is πr^2, where r is the radius of the circle.
Now, according to the data given the perimeter and area of the two circles are equal.
So, the equation will be 2πr = πr^2.
2πr = πr^2
2π = πr
r = 2 units
Therefore, the radius is 2 units.
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1. If radii of two concentric circle are 28 cm and 18 cm respectively. Find the area of the concentric circles.
2. If the perimeter and the area of the circle are numerically equal then find the radius of the circle.
help me im so bad at this
Answer:
the answer would be 5/24 :)
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
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
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
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:
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:
Where does the line 2x 3y 6 will intersect Y axis at?
The graph of the given line 2x+3y=6 intersects the Y-axis at (0,2).
For the graph of linear equation to intersect the Y-axis, its X-co-ordinate should be zero or the abscissa is zero as Y-axis as the equation of Y-axis is x=0. Also the set of coordinates should satisfy the equation.
According to the first condition the x-coordinate of the equation should be zero so in equation 2x+3y=6 substituting the value of x as zero 2(0)+3y=6
3y=6
y=6/3=2
So at point (0,2), the graph of the given line 2x+3y=6 intersects the Y-axis.
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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.
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 )
URGENT!!!! 25 POINTS!!!
What is the linear function expressed by the following table?
The linear function expressed by the table is y = -1x + 4.
What is a linear function?
A linear function is a type of mathematical function that represents a linear relationship between two variables, often represented by x and y. The general form of a linear function is y = mx + b, where m is the slope of the line and b is the y-intercept (the point at which the line crosses the y-axis). Linear functions are also called lines.
To find the equation of the line from a table of values, you can use the slope-intercept form, y = mx + b
where m is the slope and b is the y-intercept
In order to find the slope 'm' we use the following formula:
m = (change in y)/(change in x) = (y2 - y1) / (x2 - x1)
Here,
m = (-2 - 2) / (2 - (-2)) = (-4)/4 = -1
The slope is -1, which means that for every one-unit increase in x there's a corresponding one-unit decrease in y.
To find the y-intercept, you can use one of the points from the table and substitute the x and y values into the equation
y = mx + b
So now we know that m = -1,
plugging the first point (x,y) = (-2,2) in the equation
2 = -2 - b
b = 4
So the equation of the line is y = -1x + 4
Hence, the linear function expressed by the table is y = -1x + 4.
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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.
Juan tiene un bidón de 5 litros de capacidad, llenado hasta los 2 1/3 litros. ¿Cuántos litros le faltan para llenarlo?
Answer:
nwhbjwhr
Step-by-step explanation:
ewrwrwrwewe
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
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
Give your answer in the form y=ma + c, where m and c are integers or
fractions in their simplest forms.
Bookwork code, $79
Canalda
allowst
What is the equation of line H?
33
Line
Watch video
Answer? Helllppo
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.
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 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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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
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
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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Se hace una encuesta en un grupo de 120 personas, preguntando si les gusta leer y ver la televisión. Los resultados son: - A 32 personas les gusta leer y ver la tele. - A 92 personas les gusta leer. - A 47 personas les gusta ver la tele. Si elegimos al azar una de esas personas: a) ¿Cuál es la probabilidad de que no le guste ver la tele? b) ¿Cuál es la probabilidad de que le guste leer, sabiendo que le gusta ver la tele? C) ¿Cuál es la probabilidad de que le guste leer?
Answer:
a) La probabilidad de que a una persona elegida al azar no le guste ver la tele es 0.61 0 61%.
b) La probabilidad de que a una persona elegida al azar le guste leer, sabiendo que le gusta ver la tele, es 0.68 o 68%.
c) La probabilidad de que a una persona elegida al azar le guste leer es 0.77 o 77%.
Step-by-step explanation:
La Probabilidad es la mayor o menor posibilidad de que ocurra un determinado suceso. En otras palabras, la probabilidad establece una relación entre el número de sucesos favorables y el número total de sucesos posibles. Entonces, la probabilidad de un suceso cualquiera A se define como el cociente entre el número de casos favorables (número de casos en los que puede ocurrir o no el suceso A) y el número total de casos posibles. Esta se denomina Ley de Laplace.
[tex]P(A)=\frac{numero de casos favorables}{numero de casos posibles}[/tex]
a) A 47 personas les gusta ver la tele. Si la encuesta fue hecha a 120 personas, entonces a 73 personas (120 - 47) no les gusta ver la tele. Por lo que la probabilidad de que a una persona elegida al azar no le guste ver la tele es calculada como:
[tex]P=\frac{73}{120}[/tex]
P= 0.61= 61 %
La probabilidad de que a una persona elegida al azar no le guste ver la tele es 0.61 0 61%.
b) A 32 personas les gusta leer y ver la tele. Entonces la probabilidad de que a una persona elegida al azar le guste leer, sabiendo que le gusta ver la tele, es calculada como:
[tex]P=\frac{32}{120}[/tex]
P= 0.68= 68%
La probabilidad de que a una persona elegida al azar le guste leer, sabiendo que le gusta ver la tele, es 0.68 o 68%.
c) A 92 personas les gusta leer. Entonces la probabilidad de que a una persona elegida al azar le guste leer es calculada como:
[tex]P=\frac{92}{120}[/tex]
P= 0.77= 77%
La probabilidad de que a una persona elegida al azar le guste leer es 0.77 o 77%.
Is 8 15 and 16 is a Pythagorean triplet?
No, 8,15 and 16 is not a Pythagorean triplet.
A set of three integers that can be the lengths of the sides of a right triangle is called a Pythagorean triple, it also defines the positive integers a, b, and c which is a right triangle that exists with legs a,b, and hypotenuse c.
By the Pythagorean theorem, this is equivalent to finding positive integers a, b, and c satisfying a²+b²=c²
One of the simplest Pythagorean triples is the set “3,4,5.”
Now, substitute the values in the above equation:
16²=8²+15²
256=64+225
256[tex]\neq[/tex]289
Therefore, (8,15,16) is not a Pythagorean triplet.
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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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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).
The Anderson family paid $53 to have four pizzas delivered. Five pizzas would cost $65 and 6 pizzas would cost $77. Write an equation to represent the total cost, y, of x pizzas delivered.
Answer:
The equation is:
[tex]y =12x+5[/tex]
Step-by-step explanation:
Given
[tex](x,y) = (Pizza,Cost)[/tex]
So, we have:
[tex](x_1,y_1) = (4,53)[/tex]
[tex](x_2,y_2) = (5,65)[/tex]
[tex](x_3,y_3) = (6,77)[/tex]
Required
Equation to represent the scenario
First, calculate the slope
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
So, we have:
[tex]m = \frac{65 - 53}{5 - 4}[/tex]
[tex]m = \frac{12}{1}[/tex]
[tex]m=12[/tex]
So, the equation is:
[tex]y =m(x - x_1) + y_1[/tex]
This gives:
[tex]y =12(x - 4) + 53[/tex]
[tex]y =12x - 48 + 53[/tex]
[tex]y =12x+5[/tex]
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
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 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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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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