the circumference C of a circle is 24 pi inches. Use the formula C=2 pi r to find the radius r of the circle
The radius of the circle with a circumference of 24π is 12 inches.
What is an equation?An equation shows how two or more numbers and variables are related to each other.
The circumference of a circle is the measure of the arc of the circle. It is given by:
Circumference (C) = 2π * radius
Given that the circumference is 24π, hence:
24π = 2π(radius)
Radius = 12 inches
The radius of the circle is 12 inches.
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Using the following incomes and expenses information, calculate the total debt-to-income ratio: Employment wages: $115,000 Interest earned: $950 Dividends earned: $1,200 Mortgage payments: $38,600 Auto loan payments: $3,300 Student loan payments: $9,000 Taxes: $31,050 Utilities: $3,600 Personal savings: $12,000 Gas: $3,500 Groceries: $7,200 Entertainment: $6,000 Charitable donations: $500 Clothing: $1,500 Travel: $1,000
A figure was dilated so that the new area is 16 times bigger than the original area. Find
one possible set of perimeters for the two figures.
Please Explain!!
One possible set of perimeters for the two figures is 4x and 16x.
What is Dilation?Dilation is one of the type of transformation where the size of the object is made smaller or larger without affecting the shape.
Let A be the area of the original figure.
New area after dilation = 16A
Suppose that the figure is a square.
Area of a square is the square of it's side length and perimeter is four times the length of one side.
Let 'x' be the length of a side of the original figure.
Area of the original figure, A = x²
Perimeter of original figure = 4x
New area = 16 A = 16 x² = (4x)²
So the side length of new figure = 4x
Perimeter of new figure = 4 (4x) = 16x
Hence one of the possible set of perimeters for the two figures given is 4x and 16x.
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3) From the figure below, give the area of the shaded blue region
Please ignore the little squares in the corners,
15 cm
9 cm
6 cm
10 cm
Please help me
Answer:
15 cm
Step-by-step explanation:
This could help
go to you tube and paste Area of Shaded Region - Circles, Rectangles, Triangles, & Squares - Geometry
The Organic Chemistry Tutor
Answer:
96 cm²Step-by-step explanation:
Required area is:
A = 10*15 - 6*9 = 96 cm²Complete the following indirect proof (proof by contradiction).
Given: Adjacent angles LA and ZB, formed by the intersection of two lines
Prove: At least one of the angles LA and B has measure 90° or greater
First, we assume that this conclusion is false. In other words, we assume that the contrary statement "none of the two angles has measure [tex]90^{\circ}[/tex] or greater" is true.
The assumption is equivalent to the following two statements:
(1) [tex]m\angle A\text{ } \boxed{ < 90^{\circ}}[/tex]
(2) [tex]m\angle B\text{ } \boxed{ < 90^{\circ}}[/tex]
Using (1) and (2) and the addition properties of inequalities, we conclude that [tex]m\angle A+m\angle B \text{ } \boxed{ < } \text{ } 180^{\circ}[/tex].
On the other hand, two adjacent angles form a linear pair. Thus, the last statement contradicts the Linear Pair Property, which states that for a linear pair of angles [tex]\angle A[/tex] and [tex]\angle B[/tex], [tex]m\angle A+m\angle B \text{ } \boxed{=} \text{ } 180^{\circ}[/tex].
Therefore, the assumption made is false, and the statement "at least one of the angles [tex]\angle A[/tex] and [tex]\angle B[/tex] has measure [tex]90^{\circ}[/tex] or greater" is true.
Fine the volume for the shape below:
Please help ASAP, will mark brainlist.
Can u help me solve this
Answer:
615.44 m²
Step-by-step explanation:
the area of circle = 3.14 x 14² = 3.14×196
= 615.44 m²
Radius=r=14in
Area
πr²π(14)²196π615.44m²Which value makes the number sentence true?
Answer:
D) 19
Step-by-step explanation:
-7 + 19 = 12
What is 3/7 + 2 1/4?
Answer:
2 19/28 or 75/28
Step-by-step explanation:
Find common denominators then add, simplify if needed.
please help I need this done because this is my last assignment
Answer:
Lower quartile is 2
Median is 5
Upper quartile is 7
Answer:
Lower quartile 2
median 6.5
upper quartile 7
Please awnser this to brothers and sisters
Answer:
Equivalent
Step-by-step explanation:
Two fractions are equivalent if the value, proportion, or quantity they represent is the same. Equivalent fractions can have different numerators and denominators. If you multiply the first one by 2/2, they will both be the same.
Answer:
equivalent
Step-by-step explanation:
2x/18y divided by 2 = x/9y
(6 × 10a) + (6 × 10b) + (6 × 10c) = 6006.6
Write down a possible set of values of a, b and c.
The values of a , b and c from the equation is ( 3 , 0 , -1 )
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
( 6 × 10ᵃ ) + ( 6 × 10ᵇ ) + ( 6 × 10^c ) = 6006.6 be equation (1)
Now , the number 6006.6 is written as
6000 + 6 + 0.6 = 6006.6
On simplifying the equation , we get
( 6 × 10ᵃ ) = 6000
Divide by 6 on both sides of the equation , we get
10ᵃ = 1000
So , 10ᵃ = 10³
Therefore , the value of a = 3
Now , ( 6 × 10ᵇ ) = 6
Divide by 6 on both sides of the equation , we get
10ᵇ = 1
when b = 0
10⁰ = 1
Therefore , the value of b = 0
Now , ( 6 × 10^c ) = 0.6
Divide by 6 on both sides of the equation , we get
10^c = 0.1
when c = -1
10⁻¹ = 0.1
Therefore , the value of c = -1
Hence , the value of a , b and c is 3 , 0 and -1 respectively
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This is just a end of grade test question, I’m wondering, when you search up “5th Grade Eog (Math/Science/Reading)” It shows something called the ‘released’ EOG. Is that the actual EOG or is it just practice? Please someone tell me!
Answer:
it just a released test from previous year. It is not the real test . I may be use as a practice.
Step-by-step explanation:
What is the sum of 1/2 + 3/10?
Answer:
The answer is 3/20 or 0.15
I wish you luck in your assignments.
Help me and I’ll give you brainliest
Answer:
15/17
Step-by-step explanation:
Sin=opposite/hypotenuse
SinD=BC/CD=15/17
Solve for m. Answer to the nearest tenth & Solve for X. HELP WITH THESE QUESTIONS PLEASEEE AND FASTTT !
Answer:
m is 3. x is 2.
Step-by-step explanation:
if you mirror the variable, it is most likely the ssme
The manager of an apartment complex is ordering new tile to lay around the perimeter of the apartments swimming pool. The specifications for the pool are shown below. The solid lines represent the perimeter of the pool.
What is the approximate perimeter of the pool?
Answer: 158 feet
Step-by-step explanation: I’ve gotten this question right on a test.
The approximate perimeter of the pool will be 157.36 feet.
What is the perimeter of the shape?The complete stretch of a shape's border is referred to as the perimeter in geometry. A shape's periphery is calculated by summing the lengths of all of its sides and borders. Its dimensions are expressed in linear units like centimeters, meters, inches, and feet.
The perimeter of the shape is a combination of the perimeter of two small quarter circles, one big circle, and the sides of a rectangle. Then the perimeter is calculated as,
P = πr + 2L + w + πR
P = 3.14 x 9 + 2 x 35 + 12 + 3.14 x 15
P = 157.36 feet
The approximate perimeter of the pool will be 157.36 feet.
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HELP WHICH ONE DO I PICK I NEED TO ANDWER NOW
Answer:
4.3 minutes per mile
Step-by-step explanation:
26 minutes divided by 6 miles is 4.333, so the answer should be 4.3 minutes per mile. Hope this helped :)
Which of the following equations is the translation 2 units up of the graph of y=Ixl?
Answer:
y=|x|+2
Step-by-step explanation:
Umm where’s the graph.
If the graph is up 2 units y=|x|+2
please help me thank you so much
Answer:
12(7-3) and 2-0.5
Step-by-step explanation:
All the rest are either terms or equations. The top left one is a term, and all the rest have equal signs, so they're equations. Only the bottom left and bottom right ones are expressions.
Can someone answers this
Answer: ( see image )
Step-by-step explanation:
A grocery store offers a cheese sampler that includes a pepper cheddar cheese that costs $17 per kilogram and Pennsylvania Jack that costs $8 per kilogram. How many kilograms of each were used to make a 6-kilogram mixture that costs $10.25 per kilogram? pepper cheddar kg Pennsylvania Jack kg
Answer:
The quantity of pepper cheddar cheese required = 2.5 kilograms
The quantity of Pennsylvania Jack required = 4.5 kilograms
Step-by-step explanation:
Let x = Quantity of pepper cheddar cheese
y= Quantity of Pennsylvania Jack
As per given , we have the following system of equations:
Multiply 8 to equation(1) , we get
Eliminate (3) from (2) , we get
Put value of x in (1) , we get
Hence, the quantity of pepper cheddar cheese required = 2.5 kilograms
The quantity of Pennsylvania Jack required = 4.5 kilograms
Stewart goes out for lunch with some of his friends. The total bill comes to
$500. The friends think that since it is Stewart’s birthday, he shouldn't have to pay. They split the cost of his lunch, with each friend paying an additional
$1
a) How many people ate dinner? Including Stewart
9514 1404 393
Answer:
0 people ate dinner
23 people ate lunch
Step-by-step explanation:
If the bill is split evenly between x people, then each pays 500/x.
Splitting the bill between x-1 people means each pays 500/(x -1).
When the difference in those amounts is 1.00, we have ...
500/(x -1) -500/x = 1
500 = x(x -1)
Completing the square gives ...
500.25 = (x -0.5)²
x = 0.5 +√500.25 ≈ 22.866 ≈ 23
Check
With 22 people splitting the $500 bill, the amount each pays is ...
$500/22 ≈ $22.73
With 23 people splitting the bill, the amount each pays is ...
$500/23 ≈ $21.74
The difference is $0.99, about $1.00. This is as close as you will get with these numbers.
__
23 people at lunch, including Stewart.
XYZ Company
Balance Sheet
Assets
Cash
$45,000
Inventory $41,000
Property $134,000
Total Assets:
Liabilities
Notes
Wages
Equity
Stock
$55,000
$56,000
$50,000
Investment $59,000
Total Liabilities + Equity:
Using the balance
sheet, calculate XYZ
Company's total
assets - liabilities.
Total Assets - Liabilities = $ [?]
Enter
PH
Skip
On solving the provided question, we can say that - by formula of simple interest we have SI = [tex]2200 X 2 X 4/100 = > 17600/100 = > 176[/tex]
what is interest ?Multiplying the principal by the interest rate, time, and other factors yields simple interest. Simple return equals principle times interest times hours is the marketed formula. It is easiest to compute interest using this formula. A percentage of the principle balance is how interest is most commonly computed. For instance, he will only pay his portion of the 100% interest if he borrows $100 from a buddy and promises to pay it back with 5% interest. $100 (0.05) = $5. When you borrow money, you must pay interest, and when you lend money, you must charge interest. Most of the time, interest is expressed as a yearly percentage of the loan amount. The interest rate on the loan is known as this percentage.
here,
principal, p = 2200
rate, r = 2%
time, t = 4 rs,
so SI = P X R X T/100
SI -
[tex]2200 X 2 X 4/100\\17600/100\\176[/tex]
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-2(x+5)=4 math homework help
Answer:
-7
Step-by-step explanation:
-2(x+5)=4
First, distributive property,
-2x-10=4
Add 10 to both sides,
-2x=14
Divide both sides by -2
-7
Name a genre or tag (all except shonen, shojo, and maybe josei) and I'll recommend some anime.
I don't want anime recommendations myself rn, please don't be stubborn about this. Just say something random and take the points if you're gonna try recommending some or not take this seriously.
Answer:
hiro ..................
Please help with this question and please no links or things unrelated to the problem. Best answer gets Brainliest :)
Answer:
D. X= -3/2, y= 4
Step-by-step explanation:
Just took the test
Suppose we want to choose 6 letters with out replacement from 13 distinct letters. How many ways can this be done if the order of the choices is not relevant? How many ways can this be done if the order of the choices is relevant?
Suppose we want to choose 6 letters with out replacement from 13 distinct letters.
a. The number of ways this be done if the order of the choices is not relevant is 1,235,520 ways.
b. The number of ways this be done if the order of the choices is relevant is 1716 ways.
How to find the number of ways?a. Number of ways if choice are not relevant
[tex]^nP_r = n!/ (n-r)![/tex]
Where:
n =13
r = 6
So,
[tex]^1^3P_6[/tex] = 13! / (13 - 6)!
[tex]^1^3P_6[/tex] =6,227,020,800 /7!
[tex]^1^3P_6[/tex] =6,227,020,800/5,040
[tex]^1^3P_6[/tex] = 1,235,520 ways
b. Number of ways if choice are relevant
[tex]^nC_r =n!/ r! (n-r)![/tex]
[tex]^1^3C_6[/tex] = 13! / 6!(13-6)!
[tex]^1^3C_6[/tex] = 13! / 6! × 7!
[tex]^1^3C_6[/tex] =6,227,020,800 / 720×5040
[tex]^1^3C_6[/tex] =6,227,020,800 / 3,628,800
[tex]^1^3C_6[/tex] = 1,716 ways
Therefore the number of ways are 1,235,520 ways and 1,716 ways.
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how many times does 12 go into 72
Answer:
Step-by-step explanation:
6
Suppose you have a very large bin of white marbles (so large that you can assume you have an infinite supply) and an equally large bin of blue marbles, of red marbles and of green marbles. Now suppose that you intend to package marbles in bags of 17. How many distinguishable collections of marbles could be in the bags
Answer:
[tex]\left \{ {{20} \atop {3}} }.[/tex]
Step-by-step explanation:
supply = Infinite
supposing you intend to package the marbles in bags of 17
Determine the number of distinguishable collections of marbles that could be in the bags
Given that ; n = 17 , K = 4
The distinguishable collections = [tex]\left \{ {{20} \atop {3}} }.[/tex]
attached below is the detailed solution