Answers
Radius, diameter, center, and circumference--all are parts of a circle .Every point in the plane that is a certain distance away from a certain point forms a circle (center).
what is circle?Every point in the plane that is a certain distance away from a certain point forms a circle (center). It is, thus, a curve formed by points moving in the plane at a fixed distance from a point. A circle is a closed two-dimensional object where every pair of points in the plane are equally spaced out from the "center." A line that goes through the circle creates a specular symmetry line. At every angle, it is also rotationally symmetric about the center.
Area of circle =
[tex]\pi r^2\\r = 10\\A = 3.14 X 10 X 10\\A = 314 unit sq\\[/tex]
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On solving the provided question, we can say that area of circle = [tex]\pi r^2 =[/tex] 3.14*.3.4*3.4 = 1.28112 cm sq.
What is circle?Every point in the plane that is a certain distance away from a certain point forms a circle (center). It is, thus, a curve formed by points moving in the plane at a fixed distance from a point. At every angle, it is also rotationally symmetric about the center. A circle is a closed two-dimensional object where every pair of points in the plane are equally spaced out from the "center." A line that goes through the circle creates a specular symmetry line. At every angle, it is also rotationally symmetric about the center.
here,
in the circle
the given radius is as = 3.4
area of circle = [tex]\pi r^2 =[/tex] 3.14*.3.4*3.4 = 1.28112 cm sq.
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Related Questions
Polygon ABCD with
A (0, 4), B (-4, 8), C (3, 3), and D (4, -2), is dilated by a scale factor of ½. Find A’B’.
Explain please!!!
Answers
The length of A'B' after undergoing the dilation is; A'B' = 2√2
How to interpret scale of dilation?The scale factor in the dilation of an object tells us how much larger or smaller the image will be when compared to the original object. Thus, the coordinates will be multiplied by the scale of dilation to get the new coordinates.
We are given the coordinates of Polygon ABCD as A(0, 4), B(-4, 8), C(3, 3), and D(4, -2). With a scale of dilation of ½, we will have the new coordinates as;
A'(0, 2), B'(-2, 4), C'(1.5, 1.5), and D'(2, -1)
The formula to find the distance between two coordinates is;
Distance = √[(y₂ - y₁)² + (x₂- x₁)²]
Thus;
A'B' = √[(4 - 2)² + (-2 - 0)²]
A'B' = √8
A'B' = 2√2
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Melanie runs 2.6 miles each weekday morning before going to work to prepare for a marathon race. If the race is approximately 26 miles, what percent of the distance does Carol run each week?
A) 10%
B) 20%
C) 40%
D) 50%
I have the right answer, show work please.
Answers
Answer:
D) 50%
Step-by-step explanation:
There are 5 weekdays, Monday through Friday.
In each of the 5 weekdays she runs 2.6 miles.
In a week, she runs 5 × 2.6 miles = 13 miles by running only on weekdays.
Now we need to find out what percent of 26 miles is 13 miles.
percent = part/whole × 100%
percent = 13/26 × 100%
percent = 0.5 × 100%
percent = 50%
Answer: D) 50%
A different customer wants Ellie to spread fertiliser on a lawn.
A shop sells these bags of fertiliser.
Lawn fertiliser 750 grams £2.95
Ellie uses 40 grams of fertiliser for every square metre of lawn.
The area of the lawn is 145 square metres.
She needs to buy enough bags for the whole lawn.
Work out the total cost of the fertiliser Ellie needs.
Answers
Ellie needs 5050 grams extra fertilizer and total cost of fertilizer = 22.81-pound sterling.
what is multiplication and division?Multiplication is the product of two or more numerical terms. Division is the process of dividing any numbers into equal parts.
What is the total cost of fertilizer that Ellie needs?
Cost of 750 grams fertilizer = 2.95-pound sterling,
the area of the lawn = 145 square meters.
Ellie uses 40 grams fertilizer for every square meter of lawn.
So, fertilizer needed for the 145 square meters of land = (145 × 40)
= 5800 grams
it stated earlier that 750-gram fertilizer was bought but Ellie needs 5800 grams fertilizer.
the extra amount of fertilizer that Ellie needs = (5800 - 750) = 5050 grams.
cost of 750 gram fertilizer = 2.95-pound sterling
cost of 5050-gram fertilizer = (2.95 × 5050) / 750 = 19.86-pound sterling
cost of extra fertilizer = 19.86-pound sterling.
Total cost of fertilizer = (2.95 + 19.86) pound sterling
= 22.81-pound sterling
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Which expression is equivalent to
Answers
The equivalent expression to 4y²(6x³ + 4xy + 3y) is 24x³y² + 16xy³ + 12y³
Equivalent expressions:A mathematical expression made up of variables, coefficients, constants, and operations like addition, subtraction, multiplication, and division is called an algebraic expression.
In general, something is considered equal if two of them are the same. Similar to this, similar expressions in mathematics are those that hold true even when they appear to be different.
However, both forms provide the same outcome when the values are entered into the equation.
Here we have
4y²(6x³ + 4xy + 3y)
Simplify the given expression as follows
=> 24x³y² + 16xy³ + 12y³
Therefore,
The equivalent expression to 4y²(6x³ + 4xy + 3y) is 24x³y² + 16xy³ + 12y³
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What are this graph's amplitude, period, horizontal shift, and equation? Write an equation that represents the curve in the form: y = a cos(k(x - b)) (Show Work!)
Answers
The features of the cosine function are given as follows:
Amplitude: 1/3.Period: π.Horizontal shift: π/3.The equation of the cosine function is given as follows:
y = 1/3cos(2(x - π/3)).
How to define the cosine function?The cosine function is defined as follows:
g(x) = acos(b((x+c))+d.
The coefficients have these following roles:
a: amplitude.b: The period is of 2π/B.c: phase shift.d: vertical shift.The function oscillates between -1/3 and 1/3, hence the amplitude is of:
a = 1/3.
The period is of 2π/3 - (-π/3) = π, hence:
2π/B = π.
B = 2.
The horizontal shift is of -π/3, hence the equation is given as follows:
y = 1/3cos(2(x - π/3)).
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Mr. Sehmi is making an array to display 9 pictures. For each pair of different factors, there are two arrays he can make. How many different arrays can Mr.Sehmi make? Is the number of arrays odd or even ? Explain.
Answers
Hi Bixby can you help me with this Mr. CV is making an area to display 9 pictures for for each pair of different functions there are 2 Irish he can we how many different areas can Mr. Semi make is in the number of a rice old number odd or even
A farmer has 30 boxes of eggs. There are 6 eggs in each box. Write, as a ratio, the number of eggs in three boxes to the total number of eggs Give your answer in its simplest form.
Answers
Answer:
1:10
Step-by-step explanation:
30 boxes = 180 eggs
3 boxes = 18 eggs
18:180 = 1:10
(04.05 HC)
An applicant receives a job offer from two different companies.
Offer A is a starting salary of $55,000 and a 5% increase for 5
years. Offer B is a starting salary of $56,000 and an increase of
$2,000 per year.
Part A: Determine whether offer A can be represented by an
arithmetic or geometric series and write the equation for An, that
represents the total salary received after n years. Justify your
reasoning mathematically. (3 points)
Part B: Determine whether offer B can be represented by an
arithmetic or geometric series and write the equation for B, that
represents the total salary received after n years. Justify your
reasoning mathematically. (3 points)
Part C: Which offer will provide a greater total income after 5
years? Show all necessary math work. (4 points)
Answers
On solving the provided question of arithmetic , we can say that after five years, Offer A will offer a higher total income.
What is arithmetic sequence?Every subsequent pair of terms in an arithmetic sequence has a constant difference. This resembles linear functions with the formula y=mx+b. There is a fixed ratio between every pair of subsequent terms in a geometric sequence. This would produce a constant multiplier effect.
Given that a candidate receives job offers from two different companies, with Offer A offering a starting salary of $ 55,000 and a 5% increase for 5 years and Offer B offering a starting salary of $ 56,000 and an increase of $ 2,000 per year, it is necessary to perform the following calculation to determine which offer will result in a higher total income after 5 years:
Offer A = Arithmetic
55000.r1.055 X
70, 195.48 — x
Offer B = Geometric
56000+ (5a•2000) X
56000+ 10000 = x
66,000 = x
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Ok so I need help with this
Answers
Answer:
Step-by-step explanation:
1 Wanderer
2 moves on its own orbits the sun
3 Saturn
4 saturn
Willy and Billy each have a rock collection.
• The number of rocks in Willy’s collection can be represented by x.
• The number of rocks in Billy’s collection is 223 times the number in Willy’s collection.
• The total number of rocks in both collections is 110.
What is x, the number of rocks in Willy’s collection?
Answers
The number of rocks in Willy’s collection is 30
How to calculate the fraction?A fraction simply means a piece of a whole. In this situation, the number is represented as a quotient such that the numerator and denominator are split
In this case, the number of rocks in Willy’s collection can be represented by x and the number of rocks in Billy’s collection is 2 2/3 times the number in Willy’s collection.
The appropriate equation to illustrate this will be:
x + 2 2/3x = 110
3 2/3x = 110
x = 110 ÷ 11/3
x = 110 × 3/11
x = 30
There'll be 30 rocks
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Alicia bought 4 sandwiches and 5 cups of soup, spending $38.50. Adam spent $47.25 to buy 3 sandwiches and 9 cups of soup. Write and solve a system of
equations to find out the cost of each sandwich, 8, and each cup of soup, C.
Answers
On solving the provided question, we can say that the equation that can be formed are 4x+5y=38.50 and 3x+9y=47.25
What is equation?A mathematical equation is a formula that joins two statements and uses the equal symbol (=) to indicate equality. A mathematical statement that establishes the equality of two mathematical expressions is known as an equation in algebra. For instance, in the equation 3x + 5 = 14, the equal sign places the variables 3x + 5 and 14 apart. The relationship between the two sentences on either side of a letter is described by a mathematical formula. Often, there is only one variable, which also serves as the symbol. for instance, 2x – 4 = 2.
the equation that can be formed are
Sandwiches are $5.25 Bowls are $3.50
4x+5y=38.50
3x+9y=47.25
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calculate the density of a cube with a mass of 135 grams and a length width and height of 3 cm
Answers
Answer:
ρ= 5 g/cm³
Step-by-step explanation:
density= mass/volume
ρ= m/v
As all side of the cube is equal so the formula for volume is a³ 3³
which gives us volume 27.
ρ= 135g/27cm³
ρ= 5 g/cm³
Help bc it’s due in a couple hours and im nowhere near done
Answers
Answer: -9 1/4
Step-by-step explanation:
You answer 21 out of 25 questions correctly on a test. Did you reach your goal of getting 80% or better? Explain your reasoning.
Answers
Answer: yes, you did
Step-by-step explanation:
21 divided by 25 is 0.84
the you times 0.84 with 100 and you would get 84%
5x-y=54 x=10 what is the answer
Answers
Answer:
Y = 4
Step-by-step explanation:
5x-y=54
50-y=54
circle y and subtract 50 from itself then subtract 50 from 54.
after subtracting you should have y=4
A retailer has some sweaters that cost her$38 each she wants to make a profit of 20% of her cost. What price should she charge for each sweater
Answers
The retailer's selling price per sweater should be $45.60 if she wants to make a profit of 20% of her cost price (markup) of $38.
How is the selling price determined?The selling price is the marked-up cost.
The markup is the percentage added to the cost price to achieve a target profit percentage.
Cost price per unit = $38
Target profit = 20%
Selling price = $45.60 ($38 x 1.2)
Thus, for the retailer to make a profit of 20% of her cost, she must sell each sweater for $45.60.
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for f(x)=3x-2 and g(x)=x^2+1 find (f+g)(x)
Answers
For the polynomial functions f(x) = 3x - 2 and g(x) = x² + 1, then function (f + g)(x) is calculated to be
x² + 3x - 1What is a polynomial function?A polynomial function is a function that only uses non-negative integer powers or only positive integer exponents of a variable in an equation, such as the quadratic equation or the cubic equation.
The equation in the problem has integers as below
f(x) = 3x - 2: integer value here is 1
g(x) = x² + 1 integer value here is 2
In both conditions, the integer values are positive hence both are polynomial functions
(f + g)(x) is addition of the two polynomials
f(x) = 3x - 2 + g(x) = x² + 1
= 3x - 2 + x² + 1
= x² + 3x - 1
hence (f + g)(x) = x² + 3x - 1
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mark has 5 quarters 25 dimes and 20 nickels in his coin box. he randomly takes out a coin and replaces it and randomly takes out another what is the probability that he picked a dime and a nickel
Answers
When he replaces a coin that was taken out randomly, there is a 50% chance that he chose a dime and a nickel.
what is probability ?A branch of mathematics called probability theory determines the likelihood that an event will occur or that a statement is true. A chance is a number between 0 and 1, where 1 denotes certainty and about 0 denotes how probable an event is to occur. The possibility or probability that a specific event will occur is expressed numerically as a probability. Probabilities can also be expressed as a percentage form 0% to 100% or as numbers between 0 and 1. the proportion of occurrences among all equally likely alternatives that lead to a certain occurrence relative to all possible outcomes.
given
There are six possible methods to select two coins (sequence is irrelevant): 1, 5, 1, 10, 1, 25, 5, 10, and 1, 25. (10,25).
Three of these add up to at least 25, thus 3/6 or 1/2 of them.
Alternatively, there are 4 ways to choose 2 coins from 4, or 4 C 2 = 6.
You then select one of the three remaining coins and the quarter (required to reach at least 25) as follows: 3 C 1= 3 ways.
When he replaces a coin that was taken out randomly, there is a 50% chance that he chose a dime and a nickel.
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Write the equation of the line shown.
Answers
Answer:
y = 3x
Step-by-step explanation:
The equation is y = mx + b
m = the slope
b = y-intercept
The slope = rise/run
Let's pick 2 points (0,0) (2,6), we see that the y increase by 6 and the x increase by 2, so our slope is
m = 6/2 = 3
Y-intercept is when the x = 0, we see that the y-intercept is located at (0,0)
So, our equation is
y = 3x
Factor
2x2 + 7x + 5.
Answers
The solution to the quadratic equation are x = 1 and -5/2
How to determine the valueWe have the quadratic function;
2x² + 7x + 5
Using the factorization method of solving quadratic equation. We need to multiply the coefficient of x² and the constant 5.
Then find the pair factors and substitute the values into the function.
Substitute the values, we have;
2x² + 2x + 5x + 5
Factor the expression in pairs
(2x² + 2x) + (5x + 5)
Factor the common terms, we get;
2x(x + 1) + 5( x+ 1)
We have the equations;
2x + 5 = 0
x = -5/2
And
x + 1 = 0
x = -1
Thus, the values are x = -5/2 and -1
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A soda company would like to replace the label on a can of soda with a radius of 2 and three fourths cm. If the label touches end to end with no overlap, what is the length of the label? Use 22 over 7 for π.
121 over 7 cm
121 over 14 cm
121 over 28 cm
121 over 56 cm
Answers
The length of the label is 121 over 28. (option C)
What is the length of the label?The length of the label is equivalent to the circumference of the cylinder. The circumference of an object is the distance round the object.
The formula for circumference of a cylinder = 2πr
Where:
π = 22/7
r = 2 3/4 = 11/4
2 x 22/7 x (11/4) = 121/28 cm
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Answer: 121/7
Step-by-step explanation: I got it correct :)
Simplify the product. 8x(x-5/4x)
Answers
The product of the expression is 8x²-10x
What are expressions?An expression in math is a sentence with a minimum of two numbers or variables and at least one math operation. This math operation can be addition, subtraction, multiplication, or division.
Given that, an expression 8x(x-5/4x) we are asked to find its product,
8x(x-5/4x)
= 8x²-10x
Hence, the product of the expression is 8x²-10x
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Denise has $10 and wants to buy pens that cost
$0.80 each. How many pens can Denise buy and
have at least $6 left?
Answers
Answer:
5 pens
Step-by-step explanation:
$10 - 6$ = $4
$4/$0.80
she can afford 5 pens
i-Ready
Divide by Two-Digit Numbers, Part 2- Quiz - Level E
→Yumi has 6,720 coins to plant apple trees in her village. It costs 21 coins to plant an
apple tree. Find how many apple trees Yumi can plant if she uses all her coins.
Which division equation represents the problem?
21 ÷ 6,720 = ?
21 ? = 6,720
6,72021?
? 216,720
Answers
The answer is 21/6720
Which inequality represents this sentence? Six plus two is less than nine plus three. Responses 6+2>9+3 6 addition symbol 2 inequality symbol with narrow side pointing to right and wide side opening to the left 9 addition symbol 3 6+2<9+3 6 addition symbol 2 inequality symbol with narrow side pointing to left and wide side opening to the right 9 addition symbol 3 6+2≤9+3 6 addition symbol 2 inequality or equal to symbol with narrow side pointing to left and wide side opening to the right 9 addition symbol 3 9+3<6+2 9 addition symbol 3 inequality symbol with narrow side pointing to left and wide side opening to the right 6 addition symbol 2
Answers
The inequality that represents this sentence is 6 + 2 < 9 + 3
How to determine the inequality?From the question, we have the following parameters that can be used in our computation:
Six plus two is less than nine plus three
Express as numbers
So, we have
6 plus 2 is less than 9 plus 3
Introduce the operators
6 + 2 < 9 + 3
Hence, the inequality is 6 + 2 < 9 + 3
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An equation for a tangent to the graph of y = arcsin(x/2) at the origin is: O y=2 O x=2y O y = 4x Ο πx = 2y
Answers
The equation for a tangent to the graph of y = arcsin(x/2) at the origin is y = x.
To find the equation for a tangent to a graph at a certain point, we need to find the slope of the tangent at that point. To do this, we can use the derivative of the function. In this case, the function is y = arcsin(x/2). Using the chain rule, we can find the derivative of this function:
y' = d/dx(arcsin(x/2))
= d/dx(sin^-1(x/2))
= 1/√(1 - (x/2)^2)
Now, to find the slope of the tangent at the origin (0,0), we can plug x = 0 into this derivative:
y'(0) = 1/√(1 - (0/2)^2) = 1
So the slope of the tangent at the origin is 1. To find the equation of the tangent, we can use the point-slope form of a line:
y - y1 = m(x - x1) where,
(x1, y1) is the point at which the tangent touches the graph (in this case, the origin) m is the slope of the tangent.Plugging in the values for the origin and the slope we found above:
y - 0 = 1(x - 0)
or, y = x
So the equation for the tangent is y = x. But the options are incorrect.
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Graph the function.
y=−2/3x+2
Answers
The graph of y = -(2/3)x + 2 is shown, having a slope of -2/3 and y intercept of 2
What is an equation?An equation shows how two or more numbers and variables are related to each other.
The standard linear equation is:
y = mx + b
Where m is the rate of change and b is the y intercept
The equation y = -(2/3)x + 2 have a negative slope of -2/3 and y intercept of 2
The graph of y = -(2/3)x + 2 is shown
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8 to the power of X over 2 divided by 4 to the power of X over 3 = 2 to the power of -5 over 2
Answers
The value of x = -3 in the given quadratic equation.
What is quadratic equation?In mathematics, a quadratic equation is defined as an equation of degree 2, which means that the highest exponent of this function is 2. A quadratic has the standard form y = ax2 + bx + c, where a, b, and c are numbers and a cannot be 0.
Quadratic equations are unique in that they can have up to two real solutions. Solutions are found where the quadratic equals 0. Real solutions are those that are not fictitious and have real numbers.
8 to the power of X over 2 divided by 4 to the power of X over 3 = 2 to the power of -5 over 2.
In equation it will be written as
[tex]$ 8^{x/2} \div 4^{x/3} = 2^{-5/2}[/tex]
[tex]$ (2^3)^{x/2} \div (2^2)^{x/3} = 2^{-5/2}[/tex]
[tex]$ (2)^{3x/2} \div (2)^{2x/3} = 2^{-5/2}[/tex]
[tex]$ (2)^{\frac{ 3x}{2} -\frac{ 2x}{3} } = 2^{-5/2}[/tex]
[tex]$ (2)^{\frac{ 5x}{6} } = 2^{-5/2}[/tex]
By solving this
x = -3
Thus, the value of x = -3 in the given quadratic equation.
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Write your answer in simplest form.
-\dfrac{3}{2} \div \dfrac{7}{4} = {?}−
2
3
÷
4
7
=?\
Answers
The solution of the equation - (3/2) ÷ (7/4) = x - (2/3) ÷ (4/7) will be 13 / 42.
What is the solution to the equation?The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.
The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.
The equation is given as,
- (3/2) ÷ (7/4) = x - (2/3) ÷ (4/7)
Simplify the equation, then we have
- (3/2) x (4/7) = x - (2/3) x (7/4)
- 6/7 = x - 7 / 6
x = 7/6 - 6/7
x = (49 - 36)/42
x = 13 / 42
The solution of the equation - (3/2) ÷ (7/4) = x - (2/3) ÷ (4/7) will be 13 / 42.
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y=-6x-7 7x+y=-3 substitution
Answers
By substitution; x = 4 and y = -31
What is an equation?An equation is a mathematical statement that shows that two mathematical expressions are equal. It shows the relationship of equality between the expression written on the left side with the expression written on the right side. Equations can be solved to find the value of an unknown variable representing an unknown quantity.
y=-6x-7 --- 1
7x+y=-3 --- 2
Substituting y as 6x - 7 in equation 2
7x + (-6x - 7) = -3
7x - 6x - 7 = -3
x - 7 = -3
x = -3 + 7
x = 4
Substitute x as 4 in equation 1
y = -6x - 7
y = -6(4) - 7
y = -24 - 7
y = -31
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