The area of circle with circumference 5πm is 6.25π square meters.
What is circumference and area of a circle?
The measurement of the circle's perimeter, also known as the circle's boundary, is called its circumference.
Circumference of circle(C)= 2πr
The area of a circle is the space encircled or encompassed by its circumference. It has a square unit of measurement.
Area of circle(A)= πr^2
We are given the circumference of circle(C)= 5π
This implies that 2πr= 5π because C= 2πr
On solving the equation,
2πr= 5π
r=5/2
=2.5
Now, area of circle(A)= πr^2
So, A= π (2.5)^2
A= 6.25π square meters
Hence, The area of circle with circumference 5πm is 6.25π square meters.
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what is the exact length of third side
Answer:
Step-by-step explanation:
The sum of the squares of the shorter sides is equal to the square of hypotenuse!
Which of the following is commutative for rational numbers Class 8?subtraction and divisionmultiplication and divisionaddition and subtractionaddition and multiplication
subtraction addition is commutative for rational numbers Class 8
LHS means left-hand side of the equation and RHS means right-hand side of the equation
3c(-5) = (-5)3c
The LHS of the above expression can also be written as 3 * c * (-1) * 5
The RHS of the above expression can also be written as (-1) * 5 * 3 * c
Since, this expression involved multiplication, it will definitely represent a multiplicative property. Since the order of the numbers that are being multiplied has been changed between LHS and RHS, and it is yielding the same result, it indicates that this is the commutative property of multiplication. This property states that a group of numbers can be multiplied in any order. Hence, the answer is C.
8+3.4=3.4+8
In the above, the order of the numbers being added has been changed across RHS and LHS, but is yielding the same result, it is representing the commutative property of addition. This property states that a group of numbers can be added in any order. Hence, the correct answer is C.
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Asher is painting a wall on a storage shed. He knows one can of paint covers an area of 24 square feet. Asher uses a meter stick to measure the wall, as shown. What is the fewest number of cans of paint Asher needs to paint the wall?
Therefore , the solution of the given pentagon is the wall has a square footage of 80.7293. Asher requires four cans in total.
A pentagon is what?A polygon with five sides and five angles is called a pentagon. Penta and Gonia, two words that each denote five angles, are the components of the word "pentagon." The shape is created when the sides of such a pentagon come together at their ends.
Here,
Given that a storage shed's wall has a pentagonal shape.
A pentagon's surface can be separated into two shapes. The first shape is a rectangle, while the second is a triangle.
The rectangular shape measures 1+1+1 = 3 meters in length.
(1 + 1) = 2 metres is the width.
3 x 2 = 6 square meters make up the space of the rectangle.
Three meters make up the triangle's base.
The triangle measures 1 meter in height.
The triangle's area is 1/2 base, 1/2 height, or 1/2 x 3-1, or 3/2 square meters.
The pentagon's total area is 7.5 square meters, or 6 + 3/2 square meters.
10.7639 square feet are equal to 1 square meter.
(7.5 x 10.7639) square feet are equal to 7.5 square meters.
= 80.7293 square meters
24 square feet are covered by one can of paint.
He requires 80.7293/24 = 3.36 square feet in order to cover it.
Therefore, he requires a minimum of 4 cans oil paint.
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Expand 3(t - 2). (Simplify your answer.)
Answer: it’s 3t - 6
But here’s how I got that
Step-by-step explanation:
Joseph has a loyalty card good for a 20% discount at his local pharmacy. What would his total in dollars and cents be, after the discount and before tax, if the total cost of all the items he wants to buy is $42.05? Round to the nearest cent.
The total cost of good will equals to $33.64 after considering the 20% discount he had at the pharmacy.
What is a loyalty card?A loyalty card is an identity card issued by a retailer to its customers as a form of consumer incentive scheme in which credits are accumulated for future discounts with each transaction.
Now, we will have to calculate the total cost of all the items he wants to buy after considering the 20% discount.
First, we will calculate the discounted amount:
= 20% * $42.05
= $8.41
Second, we will calculate the new amount of cost:
= $42.05 - $8.41
= $33.64
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A rectangle playground has a width of 540 feet and
How do you multiply integers in 7th grade?
To begin, determine the absolute value of each integer. After that, multiply or compute the product of the absolute numbers. Finally, identify the final answer's sign. According to the rule, if the signs of the two numbers vary, the final result will be negative.
What is integer?Determine the absolute value of each number first. After that, multiply or compute the absolute number product. Finally, determine the sign of the final answer. If the signs of the two numbers differ, the final result will be negative, according to the rule. A zero, a positive natural number, or a negative integer with a minus sign is an integer. The negative numbers are the additive inverses of their positive counterparts. The set of whole numbers and their inverses is known as the integers. The set of integers does not include fractions or decimals.
Here,
Determine the absolute value of each number first. After that, multiply or compute the absolute number product. Finally, determine the sign of the final answer. If the signs of the two numbers differ, the final result will be negative, according to the rule.
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10. Find a third number so that the three numbers form a right triangle:
i) 9,41, _
ii) 13,85, _
If two lines are perpendicular, how many right angles are formed? Why?
Answer:
Hence we can see that, when two lines are perpendicular to each other, they form 4 right angles (90 degrees).
To get the echo of a positive integer, we write it twice in a row without a space. For example, the echo of 2023 is 20232023. Is there a positive integer whose echo is a perfect square? if so, how many such positive integers can you find? if not, explain why not.
To get the echo of a positive integer, we write it twice in a row without a space. The echo number 202320232023202320232023 is the perfect square of 449800213454.
A perfect square is what echo number?If the square root of an echo number is a natural number, the echo number has a perfect square. We discovered that echo number 202320232023202320232023 is a perfect square after a few iterations:
√202320232023202320232023 = 449800213454.
The perfect square of the integer 449800213454.1 is the echo number 202320232023202320232023.
Therefore,To get the echo of a positive integer, we write it twice in a row without a space. The echo number 202320232023202320232023 is the perfect square of 449800213454.
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If f(x) is divided by x-2 what is the remainder?
Answer: By the Remainder Theorem, the remainder when f(x) is divided by x-2 is f(2)
Step-by-step explanation:
A ratio of 4 to 5 may be written as all of the following except:
4:5
4/5
8/10
5/4
16/20
Answer:
5/4
Step-by-step explanation:
A ratio can be written with a colon or as a fraction. Fractions can also be simplified further into the desired ratio.
4 to 5 can be written as 4:5.4 to 5 can also be written as 4/5 or [tex]\frac{4}{5}[/tex].4 to 5 can also be written as [tex]\frac{8}{10}[/tex] because when 8 and 10 are divided by 2 you get [tex]\frac{4}{5}[/tex].4 to 5 can also be written as [tex]\frac{16}{20}[/tex] because when 16 and 20 are divided by 4 you get [tex]\frac{4}{5}[/tex].4 to 5 cannot be written as 5/4 because [tex]\frac{5}{4} or 5:4[/tex] is 5 to 4 NOT 4 to 5. Additionally, the complex fractions above cannot be simplified into 5/4.Please let me know if this helped!!!
what is -3(-x-4) + 12x
Answer:
15x + 12
Step-by-step explanation:
-3(-x-4) + 12x
3x + 12 +12x
15x + 12
We can't simplify anymore, so the answer is 15x + 12
plssss i’ll give points?
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A line intersects the point and is perpendicular to y=(x / 4)-2. (4,-1). y=15-4 x is the equation for this perpendicular line.
What is the perpendicular line of the equation?In order to determine the equation for the line perpendicular to the line [tex]$y=\frac{x}{4}-2$[/tex]passing through the point (4,-1)
The slope-intercept version of the equation for the line is [tex]$y=\frac{x}{4}-2$[/tex].
Inversely, the perpendicular line has a negative slope of m=-4.
Consequently, the perpendicular line's equation is y=-4 x+a.
Using the notion that the line should pass through the specified location, we can use the formula [tex]-1=(-4) \cdot(4)+a[/tex] to determine a.
Thus, a=15. The line's equation is therefore y=15-4 x.
Lines that cross at a straight angle (90 degrees) are said to be perpendicular. Many perpendicular lines can be seen in the actual world. Examples include the edges of a set square, a clock's arms during particular times of day, the corners of a blackboard, a window, and the Red Cross emblem.
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x+y=3
x^2+y^2=17
Solve the simultaneous equations
The possible solution set for the system is (- 1, 4) and (4, - 1).
What are algebraic expressions?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.Given are the equations as -
x + y = 3
x² + y² = 17
Refer to the graph of the function attached. The points of intersection represents the possible solution set.
Therefore, the possible solution set for the system is (- 1, 4) and (4, - 1).
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Imma need some help here
Answer:
no it is not a solution
Step-by-step explanation:
to determine if (- 5, 4 ) is a solution to the system, substitute the x- coordinate x = - 5 into the right side of both equations and if the value obtained is equal to the y- coordinate y = 4 then it is a solution.
Note that this must be true for both equations
y = 3(- 5) + 19 = - 15 + 19 = 4 ← True
y = - 2(- 5) - 7 = 10 - 7 = 3 ≠ 4 ← False
thus (- 5, 4 ) is not a solution to the system of equations.
Can someone help me please? thank you.
Convert this equation into standard form
The equation into standard form is x = 4
How to convert the equation into standard formFrom the question, we have the following parameters that can be used in our computation:
0 = x - 4
A linear equation in standard form is represented as
Ax + By = C
So, we have
0 = x - 4
Rewrite as
x - 4 = 0
Add 4 to all sides
x = 4
hence, the equation is x = 4
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40
24
Solve for x.
60
X
x = [?]
Enter the number that belongs in the green box.
On solving the provided question we can say that the value of x is in parallel line is equal to 36.
Example of a parallel line.Real-world examples of parallel lines include railroad tracks, sidewalk margins, street markings, zebra crossings, the surfaces of pineapple and strawberries, stairs, railings, etc. Ratios contrast two figures by ordinarily dividing them. A/B would be your formula if you were comparing one data point (A) to another data point (B). This indicates that you are multiplying information A by information B.
All three line are parallel to each other. so, that ratio of 40/24 is equal to 60/x.
40/24 GO/x
x = (60 24)/40
x=36
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Does standard form have to be between 1 and 10?
No, standard form does not have to be between 1 and 10. Standard form refers to a way of writing a number in which the number is expressed as a decimal between 1 and 10, multiplied by a power of 10.
THE STANDARD FORMStandard form, also known as scientific notation, is a way of writing a number that is a product of a decimal between 1 and 10, and a power of 10. The decimal part is called the coefficient, and the power of 10 is called the exponent.
For example, 12,000 can be written in standard form as 1.2 x 10⁴. Here, the coefficient is 1.2 (a decimal between 1 and 10) and the exponent is 4, indicating that the number is being multiplied by 10 raised to the power of 4 (10,000).
It is important to note that standard form is not limited to positive numbers and decimals between 1 and 10. A negative number or decimal less than 1 can also be written in standard form, but it would be multiplied by a power of 10 that is less than 1.
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solve the compound inequality n+2≤−5 and n+6≥−6
Answer:
-12<=n<=-7
Step-by-step explanation:
Help please for this geo
Using the indirect measurement, the height of pole is obtained to be 21 ft.
What is indirect measurement?
Using various measurements to determine the required measurement is known as indirect measurement.
Height of the fire hydrant, hf = 3ft
Height of the shadow of the fire hydrant, h'f = 4 ft
Height of the pole, hp = x
Height of the shadow of the pole, h'p = 28 ft
Both the shadows are casted at the same time, i.e. 4 pm.
So, use the method of indirect measurement -
hf/h'f = hp/h'p
3/4 = x/28
x = (3 × 28)/4
x = 84/4
x = 21
Therefore, the height of pole hp = 21 ft.
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Two sides of a triangle each measure 8 inches. Maria says the triangle must be isosceles. Is maria correct? explain.
Maria is not correct. Just because two sides of a triangle measure 8 inches, it does not mean that the triangle is isosceles.
An isosceles triangle is a triangle in which two sides are congruent, meaning they have the same length. However, just because two sides of a triangle have the same length, it does not necessarily mean that the triangle is isosceles.
There could be a third side with a different length. Therefore, it is a possibility that the third side of the triangle is not 8 inches, hence the triangle is not isosceles.
To confirm if a triangle is isosceles, we must measure all three sides and if two sides are congruent then it's an isosceles triangle.
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Find the standard form equation of a circle given a center of (7, 14) and a point on the circle of (4, 15).
This is the standard form equation of the circle is [tex](x - 7)^{2}[/tex] + [tex](y - 14)^{2}[/tex] = 10
What is the standard form of equation?The standard form equation of a circle is [tex](x - h)^{2}[/tex] + [tex](y - k)^{2}[/tex] = [tex]r^{2}[/tex], where (h, k) is the center of the circle and r is the radius.
Given the center of the circle as (7, 14) and a point on the circle as (4, 15), we can use the distance formula to find the radius:
r = [tex]\sqrt{(4 - 7)^{2} + (15 - 14)^{2} }[/tex] = [tex]\sqrt{(-3)^{2} + (1)^{2} }[/tex]= [tex]\sqrt{9 + 1}[/tex] = [tex]\sqrt{10}[/tex]
So the standard form equation of the circle is:
[tex](x - 7)^{2}[/tex] + [tex](y - 14)^{2}[/tex] = [tex]\sqrt{(10)^{2} }[/tex]
Which can be written as:
[tex](x - 7)^{2}[/tex] + [tex](y - 14)^{2}[/tex] = 10
So the standard form equation of the circle is [tex](x - 7)^{2}[/tex] + [tex](y - 14)^{2}[/tex] = 10
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On a necklace of 150 beads 75 beads are glass and 78 are ceramic what percent of beads are glass
Answer:
50%
Step-by-step explanation:
Divide the number of glass beads by the total number of beads:
75 glass beads / 150 total beads =
75 glass beads / 150 beads =
75/150 =
1/2 =
0.5 =
0.5 * 100% = ==> 100% = 1
50%
Which of the following statements is true?
Computers depend on your input.
Computers understand emotions.
AI is very expensive and is used only by businesses.
Modern computers use more energy than humans.
Answer:
I think it's clear that it's A. Computers depend of you input
Find the value of X………….
The bases of a trapezium are parallel to each other.
The line x is parallel in this trapezium.
Hence,
Given two sides
If leg a is the missing side, then transform the equation to the form where a is on one side and take a square root: a = √(c² - b²)If leg b is unknown, then: b = √(c² - a²)For hypotenuse c missing, the formula is: c = √(a² + b²)I think you should provide extra information for correct answer.
that the angles etc.
It takes approximately 3.7*10^4 hours for the light in Proxima Centauri, the next closest star to our son, to reach us from there. The speed of light is 6.71 *10^8 miles per hour. What is the distance from there to earth? Given distance = rate x time. Express your answer in scientific notation.
The distance from here to earth is 2.48 x 10^13 miles.
What is the distance?Scientific notation is used compress larger numbers into smaller numbers. In order to write a number in scientific notation, the number is written as a decimal number, between 1 and 10 and multiplied by a power of 10. For example, 3 x 10² is equivalent to 300.
Distance is the product of rate and time.
Distance = rate x time.
( 3.7*10^4) x (6.71*10^8)
(3.7 x 6.7) x 10^[4 + 8]
24.827 x 10^12
2.48 x 10^13 miles
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Kaj signed up for a streaming music service where there's a fixed cost for monthly
membership and a cost per song downloaded. Her total cost per month is given by
the equation c = 1.5x + 6.99, where X represents the number of songs she
downloads and c represents the total cost, in dollars and cents. What could the
number 1.5 represent in the equation?
In the equation for total cost c = 1.5x + 6.99, 1.5 represents the cost of per song downloaded.
What is an equation?
A mathematical definition of an equation is a claim that two expressions are equal when they are joined by the equals sign ("=").
The equation for total cost per month is c = 1.5x + 6.99.
Where x represents the number of songs Kaj downloads and c represents the total cost, in dollars and cents.
So, c and x are variable components of the equation.
There are only two fixed components in the equation 1.5 and 6.99.
Since number of songs downloaded x is multiplied by 1.5, so 1.5 is the cost of per song downloaded.
Hence, 6.99 becomes the fixed monthly membership cost of the music service.
Therefore, 1.5 is cost of per song downloaded.
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Someone please help me !
Answer:
x² + 6² = 17²
6² + x² = 17²
Step-by-step explanation:
Pythagoras Theorem defines the equation of opposite² + adjacent² = hypotenuse². To make it simple, it's basically base² + height² = slope². Therefore:
[tex] \displaystyle{ {x}^{2} + {6}^{2} = {17}^{2} }[/tex]
Or you can also form as
[tex] \displaystyle{ {6}^{2} + {x}^{2} = {17}^{2} }[/tex]
Therefore, there are two correct answers here.