What is the formula of third side?

Answer:

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the answer is in the attached document

Answer:

1 13/15

You need to turn the mixed number into an improper fraction to multiply.

The area of nickel is 353.0 mm²

The area of a dime is 248.8 mm²

The area of a quarter is 471.4 mm²

Given that,

The diameter of a nickel, a dime, and a quarter are 21.2 mm, 17.8 mm, and 24.5 mm, respectively.

Diameter = 2r (r=radius)

or, r = d/2

so, the Radius of a nickel, a dime, and a quarter are 10.6 mm, 8.9 mm, and 12.25 mm, respectively.

Thus, the area of a nickel, a dime, and a quarter => A= πr²

So, the area of the nickel = 3.14*10.6*10.6 = 353.0 mm²

The area of the dime = 3.14*8.9*8.9 = 248.8 mm²

The area of a quarter = 3.14*12.25*12.25 = 471.4 mm²

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Store Z charges $8 per movie.

An expression is the mathematical statement that is formed by numerical and variable terms along with operators. It represents the method of a mathematical operation in a symbolic form.

given, store A charges $8 per movie.

for each order shipping fee = $10

if store A is ordered x movie at a time than the total cost for one order

represented by the expression, $8 x + $10.

As per question, store Z cost always the same as store A for one order.

so, cost for one order in case of store Z = $8x + $10

if x denotes the number of movies that is ordered at a time, then the Z store charges $ 8 per movie.

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The predicted winning time in year 10 of the race is 2.83 minutes.

The equation for the line of fit is obtained inserting the points of the data-set into a linear regression calculator.

Given:

From the scatter plot, the points are given as follows:

(1, 5.4), (2, 5), (3, 4.6), (4, 4.9), (5, 4.1), (6, 3.9), (7, 3.6), (8, 3.3).

Inserting these points into the linear regression calculator, we get

y = -0.29x + 5.67.

Now, for x= 10 year

y = -0.29(10) + 5.67 = 2.77 minutes.

which is closest to 2.83 minutes.

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Yes, N2 equal to Avogadro's number. The symbol for Avogadro's number is N₂

Avogadro's number is a fundamental constant of physics and chemistry, defined as the number of atoms, ions or molecules in one mole of substance. It is approximately 6.022 x 10^23 and is used in many calculations in chemistry and physics, such as the number of atoms in a sample of an element, the number of ions in a salt, or the number of molecules in a gas sample. The constant is named after Amedeo Avogadro, an Italian scientist who first proposed the concept in 1811.

Yes, Avogadro's number is defined as the number of atoms, ions or molecules in one mole of substance, and is approximately 6.022 x 10^23. The symbol for Avogadro's number is N₂.

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A watch increased in price by 4/5 is priced at £126, then the original price of the watch was £100.

We know that the price of the watch increased by 4/5. To find the original price of the watch, we can use the following formula:

original price = new price / (1 + increase percentage)

In this case, the new price of the watch is £126 and the increase rate is 4/5. So we have:

original price(1 + 4/5) = 126

original price = 126 / (1 + 4/5)

original price = 126 / (1+ 0.8)

original price = 126/1.8

original price = 70

So, the original price of the watch was £70.

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The opposite of number 27 is -27

We know that the opposite of a number is nothing but the number which is at the same distance from 0 but in the opposite direction on a number line.

Here we have been givena number 27

Let a number 'p' be the opposite of number 27

If we plot 27 on the number line then we can observe that it is  located to the right of 0 on the number line.

So, from the definition of opposite of a number p would be at the same distance from 0  i.e., 27 units but in the opposite direction on a number line.

so, the number p would be -27

Therefore, -27 is opposite of 27

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Step-by-step explanation:

(-2,5), refer to the step-by-step. Feel free to comment any questions you may have!

Step-by-step explanation:

Given the system of equation, \left \{ {{x+6y=28} \atop {2x-3y=-19}} \right.{

2x−3y=−19

x+6y=28

, solve by elimination.

\left \{ {{-2(x+6y=28)} \atop {2x-3y=-19}} \right.{

2x−3y=−19

−2(x+6y=28)

, multiply the top equation by -2.

We get, \left \{ {{-2x-12y=-56} \atop {2x-3y=-19}} \right.{

2x−3y=−19

−2x−12y=−56

+ {{-2x-12y=-56} \atop {2x-3y=-19}} \right. , add the equations together.

We get, -15y=75−15y=75 , we just eliminated the variable, x, we can now solve this equation for y.

-15y=-75 = > y=\frac{-75}{-15}−15y=−75=>y=

−15

−75

, y=\frac{75}{15} = > y=5y=

15

75

=>y=5

We just found the value y, which is y=5. Now we can take this value and plug it into y for either of the two original equations and solve for x. I will take the top equation...

x+6y=28 = > x+6(5)=28 = > x+30=28x+6y=28=>x+6(5)=28=>x+30=28 , subtract the value, 30, from both sides. We get, x=-2x=−2 .

We found the value x, x=-2.

Thus the solution to the given system of equations is (-2,5).

Answer:

Comparing given eqn of line i.e.y=4x + 1 with

y=mx+c,we get,

m=4

We know that parallel lines have same value for m and the line parallel to y=4x+1 passes through the point (-2,-5) i.e (x1,y1)

Now,using point slope formula,we get

y-(-5)=4{x-(-2)}

or,y+5=4(X+2)

or,y+5=4x+8

or,y=4x+8-5

:.y=4x+3 is the req eqn for line parallel to y=4x+1

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Answer:

not directly proportional

Step-by-step explanation:

if the cost is directly proportional to number of rolls , then the unit cost for both will be equal.

first

one roll costs $1.99 ÷ 6 = $0.33 ( to 2 decimal places )

second

one roll costs $2.69 ÷ 9 = $0.30 ( to 2 decimal places )

since the unit costs are different there is not a directly proportional relationship.

Answer:

No because to buy nine rolls would be $2.69 but to buy six and then three to make nine then it would be $2.985 which is more expensive.

Step-by-step explanation:

$1.99 divided by 2 = 0.995

$1.99 + 0.995 = $2.985

$2.985 > $2.69

Extraneous solution, that emerges from the method of solving the hassle but isn't always a valid strategy to the trouble.

What is a function ?

Function can be defined as a relation , which relates an input to output is called as function.

In Mathematics, an extraneous solution (or spurious solution) is an solution, consisting of that to an equation, that emerges from the procedure of solving the hassle but isn't always a legitimate strategy to the problem.[1] A missing solution is an answer that is a valid strategy to the hassle,

however disappeared all through the process of solving the problem. each are frequently the consequence of acting operations that are not invertible for a few or all values of the variables, which prevents the chain of logical implications inside the proof from being bidirectional.

Hence , The Extraneous solution, that emerges from the method of solving the hassle but isn't always a valid strategy to the trouble.

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1/2

If there are 3 ponies, and 6 sheep,

the original ratio is 3/6.

However, it must be simplified down to 1/2.

The inequality to represent each situation is Harry > 60 inches, Sherry ≠ 4 years, and Hank ≥ $7.50.

a) Harry: This inequality states that Harry is taller than 60 inches. This is likely referring to Harry's height, as most people measure height in inches. This inequality can also be written as Harry ≥ 60 inches, emphasizing that Harry is at least 60 inches tall.

b) Sherry: This inequality states that Sherry is not equal to 4 years. This could be referring to Sherry's age, as it is common to measure age in years. This inequality can also be written as Sherry ≠ 4 years, emphasizing that Sherry is not exactly 4 years old.

c) Hank: This inequality states that Hank is greater than or equal to $7.50. This is likely referring to Hank's amount of money, as it is common to measure money in dollars. This inequality can also be written as Hank ≥ $7.50, emphasizing that Hank has at least $7.50.

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Answer:

541

Step-by-step explanation:

if you have a 1 in the ones place and a 4 in the tens place and a 5 in the hundreds place this will be your number

Solving provided question, we can say that by arithmetic progression number of rows Dodie's plot has, n ≈ 7.3965

The difference between succeeding terms in a sequence is always the same, and this is known as an arithmetic progression. An arithmetic progression with a tolerance of 2 is, for instance, the sequence 5, 7, 9, 11, 13, and 15. The term "arithmetic progression" (A.P.) refers to a progression with a fixed tolerance between any two consecutive values. Mathematic progression can be of two different types: arithmetic series with finite length A series with a finite amount of terms is a finite geometric progression. The terms in the series can be used to determine the early, late, tolerance, and number of terms.

d = 6 is the difference between subsequent rows.

The value increased to a = 1 at the top vertex.

Consequently, the garden's roses represent a mathematical progression.

A = 1 is the first phrase.

d = 6 is the common difference.

The sum of the n terms in an arithmetic progression,, is what determines how many rows Bill's plot will contain.

When Sₙ = 150, we get;

150 = 3·n² - 2·n

3·n² - 2·n - 150 = 0

number of rows Dodie's plot has, n = 7.3965

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Answer:

0.0558

Step-by-step explanation:

3% is out of hundred so we multiply

3%×1.86=0.0558

Checking:

0.0558÷1.86=0.03

0.03=3%

Answer:

Step-by-step explanation:

Aubrey's Pie Shop recently sold [tex]20[/tex] pies in total, [tex]6[/tex] of them being cherry pies, so the experimental probability is [tex]\dfrac{6}{20} = \dfrac{3}{10} = 30\%[/tex] chance of the next one being a cherry pie.

The exponential function formula for the parent function is found to be

[tex]f(x) = 2^x[/tex]

What is an exponential function?

The formula for an exponential function is [tex]f(x) = a^x[/tex], where x is a variable and a is a constant that serves as the function's base and must be bigger than 0.

The general formula to find an exponential function is [tex]f(x) = ab^x[/tex]

From the given graph, we take two points on the graph : (1,2) and (2,4)

Substituting in the above equation, taking f(x) as y

[tex]ab^1 = 2\\\\ab^2 = 4[/tex]

Solving the above equations, we get

a= 1, b=2

So the parent function  [tex]f(x) = 2^x[/tex].

Now using this function we can graph [tex]f(2x), -3f(x), 2f(2x)\\[/tex].

[tex]f(2x) = 2^{2x} = 4^x\\\\-3f(x) = -3 * 2^x\\2f(2x) = 2 * 4^x[/tex]

Therefore using the Desmos, the above exponential functions are graphed.

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There are 29.8 students in the running club overall.

The quotient is the number we get when we divide two numbers. For instance, in the case of 8 4 = 2, where the division result is 2, it is the quotient. The divisor is 4, and the dividend is 8.

The remnant is the amount that does not wholly enter the divisor, whereas the quotient is the number of times a division is completed to the fullest extent possible. By way of illustration, 42 is the quotient and 1 is the remainder when 127 is divided by 3 to provide 42 R 1.

Given,

30+9-46 (2/3) % × 30

Multiply

30 + 9 - (46 × 30) × 0.00666666666666667

Calculate quotient,

30 + 9 - 1380 × 0.00666666666666667

Simplifying quotient,

30 + 9 - 9.2

Then we get,

39 - 9.2

Then 29.8

get the result: 29.8

The complete question is:

Thirty 8 th  graders signed up for running club, however nine dropped out before the first practice. If 46 (2/3)  of the club are 8 th graders, how many total students are in the running club?

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An open number line can be used to find the amount of cards in three packages for a nurse who collects trading cards.

The relative sizes of numbers are displayed visually on an open number line, which also enables you to execute basic arithmetic operations like addition and subtraction. We can begin by marking the number 0 on the number line to use an open number line to tackle this issue. Then, we can mark the number 3 on the number line using the information from the problem (3 packages).

The total number of cards in the deck can then be determined by counting the units on the number line between 0 and 3. The total number of cards in three packages can then be determined by counting the units on the number line between 0 and 3. If each package has 10 cards, there will be a total of 30 cards in three packages, or 3 × 10 cards. So, after purchasing three packages, the nurse will have 30 trade cards. It's vital to keep in mind that the answer is predicated on the idea that each package contains 10 cards; if the box included a different number of cards, the solution would adjust.

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The sales team must sell 8 more computers than they sold last month to receive the bonus.

Last month the sales team of Electronic Mania sold 27 computers.

If they sold 30% more computer than they sold last month, they would get a bonus.

First we find the 30 percent if 27

27 × 30/100

= 8.1

Let m be the total number of computers sold.

So, the total number of computers sold would be,

m = 27 + 8.1

m = 35.1

m ≈ 35

Therefore, they need to sell 35 computers in total.

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Answer:

1.5 ft

Step-by-step explanation:

The area of a parallelogram is base times height.

So to find the height, you will need to use area/base

Small: 16.25/6.5=2.5 ft

Large: 34/8.5=4ft

4-2.5=1.5ft

Answer:

(x to the second power)+x+4

Step-by-step explanation:

Ur welcome

After the modification, the maximum amount of medical costs in the sample must have stayed the same.

After the wrongly recorded medical expense was repaired, the adjusted amount remained more than or equal to every other medical expense in the sample. This suggests that the sample statistic linked to the highest value must have remained unchanged after the modification.

The highest value, also known as the maximum or largest value, of the medical expenses in the sample, had to have remained constant. Even though the real quantity was mistakenly recorded as being 10 times its value, the rectified amount still had the highest value in the sample.

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The domain of a composite function is the set of all possible inputs for both functions, and the range is the set of all possible outputs.

A composite function is the combination of two or more functions. The domain of a composite function is the set of all possible inputs for both functions. This means that the domain is the set of all the possible inputs that can be used in either of the functions that make up the composite function. The range of a composite function is the set of all possible outputs. This means that the range is the set of all the possible outputs that can be obtained by the combination of the two or more functions. When graphing a composite function, it is important to remember that the domain and range of the composite function are the union of the domain and range of the individual functions in the composite function. The domain and range of a composite function can be determined by first determining the domains and ranges of the individual functions and then combining them.

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Answer:

[tex]-1\frac{1}{3}[/tex]

Step-by-step explanation:

We can approach this equation algebraically. Since we know E = -3, we can substitute it into our Second equation, giving us:

-3G = 4

Divide both sides by 3 gives us :

G = [tex]-\frac{4}{3}[/tex]  =  [tex]-1\frac{1}{3}[/tex]

So, the possible coordinate of G is [tex]-1\frac{1}{3}[/tex].

Hope this helped!

Answer: 4

Step-by-step explanation:

35.2/ 8.8= 4

4

FG cannot be multiplied because it is not a numerical value.

Multiplication is a mathematical operation that involves multiplying two numerical values together to produce a single numerical result. In order for multiplication to be possible, both values must be numerical values. FG is not a numerical value, which means that it cannot be multiplied. In order for FG to be multiplied, it would need to be replaced with a numerical value, such as a number or an expression that can be evaluated to a number. Without a numerical value, multiplication is not possible. Multiplying numerical values is done by taking the product of the two values, meaning that the result of the multiplication is the sum of each value multiplied by itself the number of times the other value is. For example, if you were to multiply 3 and 4, the result would be 12 because 3 multiplied by itself 4 times is 12, and 4 multiplied by itself 3 times is also 12. Without numerical values, this operation cannot be performed.

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Determine how many square centimeters make up a square meter in order to determine how long Marc will have brownies before they run out.

We must first determine the number of square centimeters in a square meter in order to determine how many days Marc has left of brownies before they run out. A square meter has 3.6 square meters in it.

Because of this, Marc has access to brownies for 3.6 days until they are finished.

Knowing the dimensions of a square or rectangle will allow you to compute its square meters. Also known as the shape's area, this term is used. Length times width equals m2, which is the formula used to calculate square meters. As an illustration, if your square is 3 meters long and 2 meters wide, 3 x 2 equals 6 meters2.

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Answer:

Step-by-step explanation:

Ya