What is the definition of the radius of a circle? The distance from the center of a circle to a point of the circle





12. A flower garden is in the shape of a circle with radius 3.8 m. If fencing costs $2.76/m, what is the cost to put a fence around the flower garden?









13. A pizza has 12 slices. Each slice has an area of 85 cm2. What is the diameter of the pizza?
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The angle between the sides measuring 4 and 5 in the obtuse triangle is approximately 101.54 degrees.

To find the measure of the angle between the sides measuring 4 and 5 in an obtuse triangle with side lengths 4, 5, and 7, we can use the Law of Cosines. The Law of Cosines states that in a triangle with side lengths a, b, and c, and an angle opposite to side c, the following equation holds:

\(c^2 = a^2 + b^2 - 2ab*cos(C)\)

In this case, we have side lengths a = 4, b = 5, and c = 7. We want to find the angle C, which is opposite to side c. Substituting these values into the Law of Cosines, we get:

\(7^2 = 4^2 + 5^2\)- 2(4)(5)*cos(C)

49 = 16 + 25 - 40*cos(C)

49 = 41 - 40*cos(C)

40*cos(C) = 41 - 49

40*cos(C) = -8

cos(C) = -8/40

cos(C) = -0.2

To find the measure of angle C, we can take the inverse cosine (arccos) of -0.2:

C = arccos(-0.2)

Using a calculator, we find that C ≈ 101.54 degrees.

Therefore, the measure of the angle between the sides measuring 4 and 5 in the obtuse triangle is approximately 101.54 degrees.

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Yes, all of the conditions for inference have been met to carry out a t-test for a difference in means.

Three main conditions need to be satisfied: the random condition, the 10% condition, and the Normal/large sample condition.

The random condition is met because the real-estate agent randomly assigned the homes to be staged or empty. This ensures that the sample is representative of the population of comparable homes.

The 10% condition is met because the agent selected 10 comparable homes, and the sample of 5 staged and 5 empty homes represents less than 10% of the population of comparable homes.

The Normal/large sample condition is met because the dot plot of each sample shows no strong skewness and no outliers. Additionally, with a sample size of 5 for each group, the t-test can still be valid even if the population distributions are not exactly normal.

Therefore, all the conditions for inference have been met, allowing the real-estate agent to carry out a t-test for a difference in means and test the hypothesis regarding the selling prices of staged and empty homes.

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8 ft cost $15

Divide the price by the length:

15/8 = $1.875 per feet

Multiply the price per feet by the number of feet (88 )

$1.875 x 88 = $165

The graphing form of the function g(x) is: C) none of the answer choices.

The function g(x) = \(x^2 + 4x - 7\)is already in the standard form of a quadratic equation. In graphing form, a quadratic equation can be represented as y =\(ax^2 + bx + c,\) where a, b, and c are constants.

Comparing the given function g(x) =\(x^2 + 4x - 7\)with the standard form, we can identify the coefficients:

a = 1 (coefficient of x^2)

b = 4 (coefficient of x)

c = -7 (constant term)

Therefore, the graphing form of the function g(x) is:

C) none of the answer choices

None of the given answer choices (A, B, D, or E) accurately represents the graphing form of the function g(x) =\(x^2 + 4x - 7\). The function is already in the correct form, and there is no equivalent transformation provided in the answer choices. The given options either represent different equations or incorrect transformations of the original function.

In graphing form, the equation y = \(x^2 + 4x - 7\) represents a parabolic curve. The coefficient a determines the concavity of the curve, where a positive value (in this case, 1) indicates an upward-opening parabola.

The coefficients b and c affect the position of the vertex and the intercepts of the curve. To graph the function, one can plot points or use techniques such as completing the square or the quadratic formula to find the vertex and intercepts. Option C

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The answer is:

Work/explanation:

Bear in mind that the sum of all the angles in a triangle is 180°.

Given two angles, we can easily find the third one.

Let's call it x.

Next, we set up an equation:

\(\sf{54+87+x=180}\)

\(\sf{141+x=180}\)

Subtract 141 on each side.

\(\sf{x=180-141}\)

\(\sf{x=39}\)

As a result, choice C is the equation that best represents the algebraic tiles since we only need to determine the total or difference.

It is possible either multiply, distribute, add, or negate in mathematics. The trying to follow is how a expression is put together: Number, expression, and scientific operator The ingredients of a mathematical expression include numbers, variables, and operations (such as addition, subtraction, multiplication or division etc.) It is possible to combine expressions and phrases. An expressions, often known as an arithmetic operation, is any mathematical statement that contains variables, numerals, and a numerical operation between them. That instance, the word m there in given equation is separated from the terms 4m and 5 by the arithmetic symbol +, as is the variable m in the phrase 4m + 5.

given

To address this issue, we just need to determine the total or difference that yields 2x2 + 2x + 2

Option A: ( x2 + 4x -2) + (x2 - 2x - 4) = 2x2 + 2x - 6

Option B: ( x2 + 4x - 2 ) + ( x2 + 2x + 4 ) = 2x2 + 6x + 2

Option C: ( x2 + 4x - 2) - ( -x2 + 2x - 4)= x2 + 4x - 2 + x2 - 2x + 4

= 2x2 + 2x + 2

As a result, choice C is the equation that best represents the algebraic tiles since we only need to determine the total or difference.

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The complete question is:-

Select the correct answer.

Which sum or difference is modeled by the algebra tiles?

A. (-x2 + 2x + 3) − (x2 − 2x − 1) = -2x2 + 2

B. (-x2 + 2x + 3) − (-x2 + 2x + 1) = -2x2 + 2

C. (-x2 + 2x + 3) + (-x2 + 2x + 1) = -2x2 + 2

D. (-x2 + 2x + 3) + (-x2 − 2x − 1) = -2x2 + 2

Answer:

71.4699, 81.7301.

Step-by-step explanation:

So, the following are the scores: 74

90

84

78

61

65

62

67

73

75

76

95

71

98

80

\(Let,\;the\;total\;sum\;of\;the\;scores\;be:\sum x =1149\)

\(Then,\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\sum x^2=89795\)

The length of the score : 15

Then, let the size of the scores be n : 15.

Then, we have to find the mean.

                                      \(\bar{x}=\frac{\sum x}{n}\)

                                         \(=\frac{1149}{15}=76.6\)

\(Then,\;we\;have\;to\;find\;standard\;deviation:S=\sqrt{\frac{\sum x^2-n.(\bar{x})^2}{n-1} }\)

                                         \(=\sqrt{\frac{89795-15\times(76.6)^2}{15-1} }=11.2808\)

\(The\;degree\;of\;freedom:n-1=14\)

\(So,\;the\;significant\;level:\alpha=1-0.90=0.10\)

\(and\;the\;critical\;value:t_{\frac{\alpha}{2} }=1.7613\)

\(Finally:\\=\bar{x}\;\pm\;t_{\frac{\alpha}{2} }\;\frac{S}{\sqrt{n} }\\=(71.4699, 81.7301)\)

Answer:

4,800

Step-by-step explanation: 6 times 5 times 8 times 20=4800 :D

Answer:

probably

Step-by-step explanation:

v = [20.(8+6)/2].5

v = 20.7.5

v = 700cm³ (that's a 3 btw)

Answer:

\(y = mx + b\)

≡ For instance, I have the equation, y = 9x + 5, and I must find the slope. The slope is 9, because 9 is in the m area of the equation, making these equations easier to determine and have less steps than before.

F and G are inverse if both of them satisfy the condition h(x)=x. f(g(x))=g(f(x))=x, as we discovered. The argument f(x) and g(x) are inverse functions is thus established.

If f (x) and g (x) are inverse functions, it can be determined using one of two ways. For more information, see the explanation.

Explanation:

Instance 1

Inverse functions of both functions can be found using the first method.

Example.

Inverse of f (x) = x + 7 is what we're looking for.

We attempt to determine x using the equation y = x + 7.

y = x + 7

Inferring that g (x) is the inverse of f (x) from the fact that x = y 7

Finding g (x inverse )'s is now necessary.

g( x ) = x − 7

y = x − 7

x = y + 7

As a result, we discovered that f (x) is the inverse function of g (x).

f and g are equal if g is inverse of f and vice versa.

The second approach entails locating the compound functions f ( g ( x ) ) and g ( f ( x ) ). In this case, f and g are inverse if they are both h (x ) = x.

Example:

f ( g ( x ) =  [ x − 7 ] + 7

G ( x ) placed as x is the expression in brackets.

f ( g ( x ) ) = x − 7  + 7 = x

g (f ( x ) =  [ x + 7 ] − 7

f ( x ) inserted as x is the expression in brackets.

g ( f ( x ) ) = x + 7 − 7 = x

The equation f ( g ( x ) ) = g ( f ( x ) ) = x was what we discovered. The argument f (x) and g (x) are inverse functions is thus established.

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I messed up so how do I erase my answer omg sorry ....

The complex number  -7i into trigonometric form is 7 (cos (90) + sin (90) i) and  3 + 3i in trigonometric form is 4.2426 (cos (45) + sin (45) i)

It is defined as the number which can be written as x+iy where x is the real number or real part of the complex number and y is the imaginary part of the complex number and i is the iota which is nothing but a square root of -1.

We have a complex number shown in the picture:

-7i(3 + 3i)

= -7i

In trigonometric form:

z = 7 (cos (90) + sin (90) i)

= 3 + 3i

z = 4.2426 (cos (45) + sin (45) i)

\(\rm 7\:\left(cos\:\left(90\right)\:+\:sin\:\left(90\right)\:i\right)4.2426\:\left(cos\:\left(45\right)\:+\:sin\:\left(45\right)\:i\right)\)

\(\rm =7\left(\cos \left(\dfrac{\pi }{2}\right)+\sin \left(\dfrac{\pi }{2}\right)i\right)\cdot \:4.2426\left(\cos \left(\dfrac{\pi }{4}\right)+\sin \left(\dfrac{\pi }{4}\right)i\right)\)

\(\rm 7\cdot \dfrac{21213}{5000}e^{i\dfrac{\pi }{2}}e^{i\dfrac{\pi }{4}}\)

\(\rm =\dfrac{148491\left(-1\right)^{\dfrac{3}{4}}}{5000}\)

=21-21i

After converting into the exponential form:

\(\rm =\dfrac{148491\left(-1\right)^{\dfrac{3}{4}}}{5000}\)

From part (b) and part (c) both results are the same.

Thus, the complex number  -7i into trigonometric form is 7 (cos (90) + sin (90) i) and  3 + 3i in trigonometric form is 4.2426 (cos (45) + sin (45) i)

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We have the following equation:

since we need P, we must move k and V to the left hand side as

By substituting the given values, we get

that is, P is equal to 2.

Answer:

9

Step-by-step explanation:

35 plus 35 equals 70 and 9 plus 9 equals 18

Answer:

The first one

Step-by-step explanation:

She cant buy anything over $15, but she can buy something thats $15 :))

Answer:

15847

Step-by-step explanation:

I did the math

Answer:

15,847

Step-by-step explanation:

The inverse statement is false.

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The equation M = 8 + 8 represents the given information. Maria has 16 scarves.

The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.

Let's let "M" represent the number of scarves that Maria has.

According to the problem, "Maria has 8 more scarves than Lucy." We know that Lucy has 8 scarves. So, Maria has 8 more than that.

We can represent this information in an equation:

M = 8 + 8

We add 8 to Lucy's 8 scarves to get the total number of scarves that Maria has, which is 16.

So, Maria has 16 scarves.

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The required Maria has 16 scarves, and the expression models the situation is given as M = 8 + L.

The equation model is defined as the model of the given situation in the form of an equation using variables and constants.

Here,
Let's use the variable "M" to represent the number of scarves that Maria has. Since Maria has 8 more scarves than Lucy, and Lucy has 8 scarves, we can write an equation as,

M = 8 + L

where L is the number of scarves that Lucy has. Substituting L = 8 into this equation, we get:

M = 8 + 8

M = 16

Therefore, Maria has 16 scarves.

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Answer:

1,800

Step-by-step explanation:

(20*18)= 360*5= 1,800

Answer:

70/100 = 105/X ---> 70X = 10,500 ---> X = 150 games played.

Step-by-step explanation:

Answer:

\(x=5,y=4\)

Step-by-step explanation:

\(2x-3y=-2\)

Add 3y to both sides:

\(2x-3y+3y=-2+3y\)

\(2x=-2+3y\)

Divide both sides by 2:

\(\frac{2x}{2}=-\frac{2+3y}{2}\)

\(x=\frac{-2+3y}{2}\)

Substitute this into the second equation:

\(4* \frac{-2+3y}{2}+y=24\)

\(2\left(3y-2\right)+y=24\)

\(7y-4=24\)

Add 4 to both sides:

\(7y-4+4=24+4\)

\(7y=28\)

Divide both sides by 7:

\(\frac{7y}{7}=\frac{28}{7}\)

\(y=4\)

We know that \(x=\frac{-2+3y}{2}\)

Thus, \(x=\frac{-2+3* \:4}{2}\)

\(x=\frac{10}{2}\)

\(x=5\)

Answer:

using elimination rule

multiply equation 2 by 3

we get, 12x+3y=72

now solve both equation

2x-3y= -2

(+)12x+3y=72

-----------------

14x=70

x=70/14=5

put value of x in any of the equation y=4

mark its as brainliest!!!!

Answer:

14.4km

Step-by-step explanation:

Distance = speed  * time

Distance = 4.8 * 3 = 14.4km

The true statement is that Loui did not meet his goal

The given parameters are:

Goal = 462 gallons per day (or less)

Days = 18 days

Amount = 8324 gallons

Start by calculating the rate of water used in this period

\(Rate = Amount/Days\)

So, we have:

\(Rate = 8324/18\)

Divide

\(Rate = 462.4\)

462.4 is greater than 462

Hence, Loui did not meet his goal

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Answer:

144 - 36×3.142 = 30.888

30.888 ÷4 = 7.722

The table and graph that represents the equation y = 3x are:

Table A

Graph B.

An equation contains one or more terms with variables connected by an equal sign.

Example:

2x + 4y = 9 is an equation.

2x = 8 is an equation.

We have,

y = 3x

This means,

For x = 0, 1, 2, 3,

y = 0, 3, 6, 9

Now,

The coordinates on the graph of the equation y = 3x will have:

(0, 0), (1, 3), (2, 6), and (3, 9)

We see that,

Graph A has the coordinates:

(0,3).

This is not possible.

And,

Table B has y = 1 when x = 3.

This is not possible.

Thus,

The table and graph that represents the equation y = 3x are table A and graph B.

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Answer:

Step-by-step explanation: as the formula to find volume is L*W*H

so v=lwh

=   5*30*14

= 2100cm^3

The Mujib spent 60% of his money, while Prakash spent 20% of his money.The Mujib spent 60% of his money ($24 out of $40), and Prakash spent 20% of his money ($24 out of $120). Understanding percentages is an important skill, as it allows us to analyze and compare data in a meaningful way.

To work out the percentage of money each person has spent, we first need to determine the amount spent by each person. Both Mujib and Prakash spent $24 each. Now, let's calculate the percentage of money spent by each person.

Mujib had $40 initially and spent $24, so his total spending is $24. To find the percentage, we divide his spending by his initial amount and multiply by 100: ($24 / $40) * 100 = 60%. Therefore, Mujib spent 60% of his money.

Prakash had $120 initially and also spent $24, resulting in a total spending of $24. Similarly, we calculate the percentage of Prakash's spending by dividing his spending by his initial amount and multiplying by 100: ($24 / $120) * 100 = 20%. Hence, Prakash spent 20% of his money.

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